Displaced Leptons from Gauge Mediation and Beyondqqqqqqqqqqqqq qqqqqqq qqqq qqqqq qqqq qqqq qqqqqqq...

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Displaced Leptons from Gauge Mediation and Beyond Jared A. Evans [email protected] Department of Physics University of Illinois, Urbana-Champaign CMS 1409.4789 Evans, Shelton – to appear Evans (UIUC) Displaced Leptons November 13, 2015 1 / 24

Transcript of Displaced Leptons from Gauge Mediation and Beyondqqqqqqqqqqqqq qqqqqqq qqqq qqqqq qqqq qqqq qqqqqqq...

Page 1: Displaced Leptons from Gauge Mediation and Beyondqqqqqqqqqqqqq qqqqqqq qqqq qqqqq qqqq qqqq qqqqqqq qqqqqqqqqqq qqqqqqqqq qqqq qqq qqqq qqqq q q qqqq qqqqq qqqqqqq qqqqqqqqqq Models

Displaced Leptonsfrom Gauge Mediation and Beyond

Jared A. [email protected]

Department of PhysicsUniversity of Illinois, Urbana-Champaign

CMS 1409.4789Evans, Shelton – to appear

Evans (UIUC) Displaced Leptons November 13, 2015 1 / 24

Page 2: Displaced Leptons from Gauge Mediation and Beyondqqqqqqqqqqqqq qqqqqqq qqqq qqqqq qqqq qqqq qqqqqqq qqqqqqqqqqq qqqqqqqqq qqqq qqq qqqq qqqq q q qqqq qqqqq qqqqqqq qqqqqqqqqq Models

Outline

Motivation for Displaced Leptons

GMSB and τR NLSPs

CMS Displaced eµ Search and τR

Same-Flavor Displaced Lepton Models

Same-Flavor Displaced Lepton Search for 13 TeV

Evans (UIUC) Displaced Leptons November 13, 2015 2 / 24

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The LHC Program

The LHC has constrained many new particles in many models

I MSSMI t ′/b′

I UEDI GMSBI RPVI StealthI 2HDMI ...

Signature Space

These searches cast a wide net

– but there are gaps

Need comprehensive program that covers ALL new physics scenarios

Could be our pathway to BSM physics!

Evans (UIUC) Displaced Leptons November 13, 2015 3 / 24

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The LHC Program

The LHC has constrained many new particles in many models

I MSSMI t ′/b′

I UEDI GMSBI RPVI StealthI 2HDMI ...

Signature Space

These searches cast a wide net – but there are gaps

Need comprehensive program that covers ALL new physics scenarios

Could be our FIRST pathway to BSM physics!Evans (UIUC) Displaced Leptons November 13, 2015 3 / 24

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The LHC Program

The LHC has constrained many new particles in many models

I MSSMI t ′/b′

I UEDI GMSBI RPVI StealthI 2HDMI ...

Signature Space

These searches cast a wide net – but there are gaps

Need comprehensive program that covers ALL new physics scenarios

Could be our ONLY pathway to BSM physics!!!Evans (UIUC) Displaced Leptons November 13, 2015 3 / 24

Page 6: Displaced Leptons from Gauge Mediation and Beyondqqqqqqqqqqqqq qqqqqqq qqqq qqqqq qqqq qqqq qqqqqqq qqqqqqqqqqq qqqqqqqqq qqqq qqq qqqq qqqq q q qqqq qqqqq qqqqqqq qqqqqqqqqq Models

Exotic Objects (pp → XX , X → o1o2 or X → o1o2o3)

o2o1 j b γ e µ τ E/Tj

jj/dv jj/dv jj/dv/dA jj/dv jj/dv jj/dv/em jj/dv

b X

jj/dv jj/dv/dA jj/dv jj/dv jj/dv/em jj/dv

γ X X

dA dA dA dA/em dA

e X X X

dv/ll dv dv/ll

µ X X X X

dv/ll dv/ll

τ X X X X X

dv/ll/em emq qqqqq qqqqq qqqqq qqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq qqqqq qqqqq qqqqq

Search arXiv Symbol Comments

CMS Displaced Dijets 1411.6530 jj mX > 50 GeVATLAS Displaced Vertex 1504.05162 dv mX > 10 GeVCMS Displaced Dilepton 1411.6977 ll mX > 15 GeVATLAS Delayed Photon 1409.5542 dA mX & 100 GeV

CMS Displaced eµ 1409.4789 em Best at LFU

I Focused on pair produced, heavy decays inside the detectorI Only a selection of searches used, but fairly representativeI Cavalier about lifetime ranges and triggers; ignoring topsI Bold is where searches are really optimized

Evans (UIUC) Displaced Leptons November 13, 2015 4 / 24

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Exotic Objects (pp → XX , X → o1o2 or X → o1o2o3)

o2o1 j b γ e µ τ E/Tj jj

/dv

jj

/dv

jj

/dv/dA

jj

/dv

jj

/dv

jj

/dv/em

jj

/dv

b X jj

/dv

jj

/dv/dA

jj

/dv

jj

/dv

jj

/dv/em

jj

/dv

γ X X

dA dA dA dA/em dA

e X X X

dv/ll dv dv/ll

µ X X X X

dv/ll dv/ll

τ X X X X X

dv/ll/em emq qqqqq qqqqq qqqqq qqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq qqqqq qqqqq qqqqq

Search arXiv Symbol CommentsCMS Displaced Dijets 1411.6530 jj mX > 50 GeV

ATLAS Displaced Vertex 1504.05162 dv mX > 10 GeVCMS Displaced Dilepton 1411.6977 ll mX > 15 GeVATLAS Delayed Photon 1409.5542 dA mX & 100 GeV

CMS Displaced eµ 1409.4789 em Best at LFU

Evans (UIUC) Displaced Leptons November 13, 2015 4 / 24

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Exotic Objects (pp → XX , X → o1o2 or X → o1o2o3)

o2o1 j b γ e µ τ E/Tj jj/dv jj/dv jj/dv

/dA

jj/dv jj/dv jj/dv

/em

jj/dvb X jj/dv jj/dv

/dA

jj/dv jj/dv jj/dv

/em

jj/dvγ X X

dA dA dA dA/em dA

e X X X dv

/ll

dv dv

/ll

µ X X X X dv

/ll

dv

/ll

τ X X X X X dv

/ll/em emq qqqqq qqqqq qqqqq qqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq qqqqq qqqqq qqqqq

Search arXiv Symbol CommentsCMS Displaced Dijets 1411.6530 jj mX > 50 GeV

ATLAS Displaced Vertex 1504.05162 dv mX > 10 GeV

CMS Displaced Dilepton 1411.6977 ll mX > 15 GeVATLAS Delayed Photon 1409.5542 dA mX & 100 GeV

CMS Displaced eµ 1409.4789 em Best at LFU

Evans (UIUC) Displaced Leptons November 13, 2015 4 / 24

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Exotic Objects (pp → XX , X → o1o2 or X → o1o2o3)

o2o1 j b γ e µ τ E/Tj jj/dv jj/dv jj/dv

/dA

jj/dv jj/dv jj/dv

/em

jj/dvb X jj/dv jj/dv

/dA

jj/dv jj/dv jj/dv

/em

jj/dvγ X X

dA dA dA dA/em dA

e X X X dv/ll dv dv/llµ X X X X dv/ll dv/llτ X X X X X dv/ll

/em emq qqqqq qqqqq qqqqq qqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq qqqqq qqqqq qqqqq

Search arXiv Symbol CommentsCMS Displaced Dijets 1411.6530 jj mX > 50 GeV

ATLAS Displaced Vertex 1504.05162 dv mX > 10 GeVCMS Displaced Dilepton 1411.6977 ll mX > 15 GeV

ATLAS Delayed Photon 1409.5542 dA mX & 100 GeVCMS Displaced eµ 1409.4789 em Best at LFU

Evans (UIUC) Displaced Leptons November 13, 2015 4 / 24

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Exotic Objects (pp → XX , X → o1o2 or X → o1o2o3)

o2o1 j b γ e µ τ E/Tj jj/dv jj/dv jj/dv/dA jj/dv jj/dv jj/dv

/em

jj/dvb X jj/dv jj/dv/dA jj/dv jj/dv jj/dv

/em

jj/dvγ X X dA dA dA dA

/em

dAe X X X dv/ll dv dv/llµ X X X X dv/ll dv/llτ X X X X X dv/ll

/em emq qqqqq qqqqq qqqqq qqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq qqqqq qqqqq qqqqq

Search arXiv Symbol CommentsCMS Displaced Dijets 1411.6530 jj mX > 50 GeV

ATLAS Displaced Vertex 1504.05162 dv mX > 10 GeVCMS Displaced Dilepton 1411.6977 ll mX > 15 GeVATLAS Delayed Photon 1409.5542 dA mX & 100 GeV

CMS Displaced eµ 1409.4789 em Best at LFU

Evans (UIUC) Displaced Leptons November 13, 2015 4 / 24

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Exotic Objects (pp → XX , X → o1o2 or X → o1o2o3)

o2o1 j b γ e µ τ E/Tj jj/dv jj/dv jj/dv/dA jj/dv jj/dv jj/dv/em jj/dvb X jj/dv jj/dv/dA jj/dv jj/dv jj/dv/em jj/dvγ X X dA dA dA dA/em dAe X X X dv/ll dv dv/llµ X X X X dv/ll dv/llτ X X X X X dv/ll/em em

q qqqqq qqqqq qqqqq qqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq qqqqq qqqqq qqqqq

Search arXiv Symbol CommentsCMS Displaced Dijets 1411.6530 jj mX > 50 GeV

ATLAS Displaced Vertex 1504.05162 dv mX > 10 GeVCMS Displaced Dilepton 1411.6977 ll mX > 15 GeVATLAS Delayed Photon 1409.5542 dA mX & 100 GeV

CMS Displaced eµ 1409.4789 em Best at LFU

Evans (UIUC) Displaced Leptons November 13, 2015 4 / 24

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Exotic Objects (pp → XX , X → o1o2 or X → o1o2o3)

o2o1 j b γ e µ τ E/Tj jj/dv jj/dv jj/dv/dA jj/dv jj/dv jj/dv/em jj/dvb X jj/dv jj/dv/dA jj/dv jj/dv jj/dv/em jj/dvγ X X dA dA dA dA/em dAe X X X dv/ll dv dv/llµ X X X X dv/ll dv/llτ X X X X X dv/ll/em emq qqqqq qqqqq qqqqq qqqqq qqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq qqqqq qqqqq qqqqq

Search arXiv Symbol CommentsCMS Displaced Dijets 1411.6530 jj mX > 50 GeV

ATLAS Displaced Vertex 1504.05162 dv mX > 10 GeVCMS Displaced Dilepton 1411.6977 ll mX > 15 GeVATLAS Delayed Photon 1409.5542 dA mX & 100 GeV

CMS Displaced eµ 1409.4789 em Best at LFU

Evans (UIUC) Displaced Leptons November 13, 2015 4 / 24

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Exotic Objects (pp → XX , X → o1o2 or X → o1o2o3)

o2o1 j b γ e µ τ E/Tj

MGRSγ R R R R MGRD

b X

MGRSHγ R R R MGRD

γ X X

S G

e X X X

GRγ R R GRD

µ X X X X

GRHγ R GRD

τ X X X X X

GRHγ GRDq qqqqqq qqqqqq qqqqq qqqqq qqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq qqqqq qqqqq qqqqqq qqqqqq

Models Symbol

Mini-Split MGMSB G

RPV/dRPV RStealth S

Higgs Mixed HDark Photon γ

MD Freeze-In Dark Matter D

Well-motivated Theoretically

Weak Coverage Experimentally

Evans (UIUC) Displaced Leptons November 13, 2015 5 / 24

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Exotic Objects (pp → XX , X → o1o2 or X → o1o2o3)

o2o1 j b γ e µ τ E/Tj M

GRSγ R R R R

M

GRD

b X M

GRSHγ R R R

M

GRD

γ X X

S G

e X X X

GRγ R R GRD

µ X X X X

GRHγ R GRD

τ X X X X X

GRHγ GRDq qqqqqq qqqqqq qqqqq qqqqq qqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq qqqqq qqqqq qqqqqq qqqqqq

Models SymbolMini-Split M

GMSB GRPV/dRPV R

Stealth SHiggs Mixed HDark Photon γ

MD Freeze-In Dark Matter D

Well-motivated Theoretically

Weak Coverage Experimentally

Evans (UIUC) Displaced Leptons November 13, 2015 5 / 24

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Exotic Objects (pp → XX , X → o1o2 or X → o1o2o3)

o2o1 j b γ e µ τ E/Tj MG

RSγ R R R R

MG

RD

b X MG

RSHγ R R R

MG

RD

γ X X

S

Ge X X X G

Rγ R R

G

RD

µ X X X X G

RHγ R

G

RD

τ X X X X X G

RHγ

G

RDq qqqqqq qqqqqq qqqqq qqqqq qqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq qqqqq qqqqq qqqqqq qqqqqq

Models SymbolMini-Split M

GMSB G

RPV/dRPV RStealth S

Higgs Mixed HDark Photon γ

MD Freeze-In Dark Matter D

Well-motivated Theoretically

Weak Coverage Experimentally

Evans (UIUC) Displaced Leptons November 13, 2015 5 / 24

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Exotic Objects (pp → XX , X → o1o2 or X → o1o2o3)

o2o1 j b γ e µ τ E/Tj MGR

R R R R MGR

D

b X MGR

SHγ

R R R MGR

D

γ X X

S

Ge X X X GR

γ

R R GR

D

µ X X X X GR

R GR

D

τ X X X X X GR

GR

Dq qqqqqq qqqqqq qqqqq qqqqq qqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq qqqqq qqqqq qqqqqq qqqqqq

Models SymbolMini-Split M

GMSB GRPV/dRPV R

Stealth SHiggs Mixed HDark Photon γ

MD Freeze-In Dark Matter D

Well-motivated Theoretically

Weak Coverage Experimentally

Evans (UIUC) Displaced Leptons November 13, 2015 5 / 24

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Exotic Objects (pp → XX , X → o1o2 or X → o1o2o3)

o2o1 j b γ e µ τ E/Tj MGRS

γ

R R R R MGR

D

b X MGRS

R R R MGR

D

γ X X S Ge X X X GR

γ

R R GR

D

µ X X X X GR

R GR

D

τ X X X X X GR

GR

Dq qqqqqq qqqqqq qqqqq qqqqq qqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq qqqqq qqqqq qqqqqq qqqqqq

Models SymbolMini-Split M

GMSB GRPV/dRPV R

Stealth S

Higgs Mixed HDark Photon γ

MD Freeze-In Dark Matter D

Well-motivated Theoretically

Weak Coverage Experimentally

Evans (UIUC) Displaced Leptons November 13, 2015 5 / 24

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Exotic Objects (pp → XX , X → o1o2 or X → o1o2o3)

o2o1 j b γ e µ τ E/Tj MGRS

γ

R R R R MGR

D

b X MGRSH

γ

R R R MGR

D

γ X X S Ge X X X GR

γ

R R GR

D

µ X X X X GRH

γ

R GR

D

τ X X X X X GRH

γ

GR

Dq qqqqqq qqqqqq qqqqq qqqqq qqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq qqqqq qqqqq qqqqqq qqqqqq

Models SymbolMini-Split M

GMSB GRPV/dRPV R

Stealth SHiggs Mixed H

Dark Photon γMD Freeze-In Dark Matter D

Well-motivated Theoretically

Weak Coverage Experimentally

Evans (UIUC) Displaced Leptons November 13, 2015 5 / 24

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Exotic Objects (pp → XX , X → o1o2 or X → o1o2o3)

o2o1 j b γ e µ τ E/Tj MGRSγ R R R R MGR

D

b X MGRSHγ R R R MGR

D

γ X X S Ge X X X GRγ R R GR

D

µ X X X X GRHγ R GR

D

τ X X X X X GRHγ GR

Dq qqqqqq qqqqqq qqqqq qqqqq qqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq qqqqq qqqqq qqqqqq qqqqqq

Models SymbolMini-Split M

GMSB GRPV/dRPV R

Stealth SHiggs Mixed HDark Photon γ

MD Freeze-In Dark Matter D

Well-motivated Theoretically

Weak Coverage Experimentally

Evans (UIUC) Displaced Leptons November 13, 2015 5 / 24

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Exotic Objects (pp → XX , X → o1o2 or X → o1o2o3)

o2o1 j b γ e µ τ E/Tj MGRSγ R R R R MGRDb X MGRSHγ R R R MGRDγ X X S Ge X X X GRγ R R GRDµ X X X X GRHγ R GRDτ X X X X X GRHγ GRD

q qqqqqq qqqqqq qqqqq qqqqq qqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq qqqqq qqqqq qqqqqq qqqqqq

Models SymbolMini-Split M

GMSB GRPV/dRPV R

Stealth SHiggs Mixed HDark Photon γ

MD Freeze-In Dark Matter D

Well-motivated Theoretically

Weak Coverage Experimentally

Evans (UIUC) Displaced Leptons November 13, 2015 5 / 24

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Exotic Objects (pp → XX , X → o1o2 or X → o1o2o3)

o2o1 j b γ e µ τ E/Tj MGRSγ R R R R MGRDb X MGRSHγ R R R MGRDγ X X S Ge X X X GRγ R R GRDµ X X X X GRHγ R GRDτ X X X X X GRHγ GRDq qqqqqq qqqqqq qqqqq qqqqq qqqqq qqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq qqqqq qqqqq qqqqqq qqqqqq

Models SymbolMini-Split M

GMSB GRPV/dRPV R

Stealth SHiggs Mixed HDark Photon γ

MD Freeze-In Dark Matter D

Well-motivated Theoretically

Weak Coverage Experimentally

Evans (UIUC) Displaced Leptons November 13, 2015 5 / 24

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Displaced Leptons in Prompt Searches

Prompt lepton-based searches:I Quality criteria drop displaced electrons

I Displaced muons veto events (cosmics)

I Vetoes range from 50 µm–1 mm

Prompt jets+E/T searches:I Veto events with leptons

I Definition not always transparent

Very dangerous region!

pp → ˜+ ˜− + X → {displaced muons}+ Xlives in a prompt search blind spot!

Displaced electrons and taus⇒ reduced efficiency

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Displaced Leptons in Prompt Searches

Prompt lepton-based searches:I Quality criteria drop displaced electrons

I Displaced muons veto events (cosmics)

I Vetoes range from 50 µm–1 mm

Prompt jets+E/T searches:I Veto events with leptons

I Definition not always transparent

Very dangerous region!

pp → ˜+ ˜− + X → {displaced muons}+ Xlives in a prompt search blind spot!

Displaced electrons and taus⇒ reduced efficiencyEvans (UIUC) Displaced Leptons November 13, 2015 6 / 24

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Gauge Mediation and τR NLSPsLightning Review of Minimal GMSB

q qqqqqqqq qqqqqqq qqqqqqq qqqqqq qqqqqq qqqqqq qqqqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqqqq qqqqqq

qqqqqq qqqqqq qqqqqqq qqqqqqq qqqqqqqq

q qqqqqqqq qqqqqqq qqqqqqq qqqqqq qqqqqq qqqqqq qqqqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqqqq qqqqqq

qqqqqq qqqqqq qqqqqqq qqqqqqq qqqqqqqq. ........................................... ........................................ ..................................... .................................. .............................. ........................... ........................ ..................... .................. ............... ............ ........ ..... ..

MSSMQ, U, Hu

L, etc

Messengers, Φ SUSY... ..... ........ ............ ............... .................. ..................... ........................

X

W ∼ XΦΦ + {MSSM yukawas}〈X 〉 = M + θ2F , Λ ≡ F/M, Λ ≡ Λ

16π2

Mr ∼ Neff g2r Λ A-terms = 0

m2soft ∼ 2Neff Cr g4

r Λ2 (Cr quadratic Casimirs O (1))

Potential NLSP Masses:

{mB = Neff g2

1 Λ Neff ≥ 2⇒ τR NLSP

m˜R=√

6Neff5 g2

1 Λ (or large running)

Evans (UIUC) Displaced Leptons November 13, 2015 7 / 24

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Gauge Mediation and τR NLSPsLightning Review of Minimal GMSB

q qqqqqqqq qqqqqqq qqqqqqq qqqqqq qqqqqq qqqqqq qqqqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqqqq qqqqqq

qqqqqq qqqqqq qqqqqqq qqqqqqq qqqqqqqq

q qqqqqqqq qqqqqqq qqqqqqq qqqqqq qqqqqq qqqqqq qqqqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqqqq qqqqqq

qqqqqq qqqqqq qqqqqqq qqqqqqq qqqqqqqq. ........................................... ........................................ ..................................... .................................. .............................. ........................... ........................ ..................... .................. ............... ............ ........ ..... ..

MSSMQ, U, Hu

L, etc

Messengers, Φ SUSY... ..... ........ ............ ............... .................. ..................... ........................

X

W ∼ XΦΦ + {MSSM yukawas}〈X 〉 = M + θ2F , Λ ≡ F/M, Λ ≡ Λ

16π2

Mr ∼ Neff g2r Λ A-terms = 0

m2soft ∼ 2Neff Cr g4

r Λ2 (Cr quadratic Casimirs O (1))

Potential NLSP Masses:

{mB = Neff g2

1 Λ Neff ≥ 2⇒ τR NLSP

m˜R=√

6Neff5 g2

1 Λ (or large running)

Evans (UIUC) Displaced Leptons November 13, 2015 7 / 24

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Gauge Mediation and τR NLSPsLightning Review of Minimal GMSB

q qqqqqqqq qqqqqqq qqqqqqq qqqqqq qqqqqq qqqqqq qqqqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqqqq qqqqqq

qqqqqq qqqqqq qqqqqqq qqqqqqq qqqqqqqq

q qqqqqqqq qqqqqqq qqqqqqq qqqqqq qqqqqq qqqqqq qqqqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqqqq qqqqqq

qqqqqq qqqqqq qqqqqqq qqqqqqq qqqqqqqq. ........................................... ........................................ ..................................... .................................. .............................. ........................... ........................ ..................... .................. ............... ............ ........ ..... ..

MSSMQ, U, Hu

L, etc

Messengers, Φ SUSY... ..... ........ ............ ............... .................. ..................... ........................

X

W ∼ XΦΦ + {MSSM yukawas}〈X 〉 = M + θ2F , Λ ≡ F/M, Λ ≡ Λ

16π2

Mr ∼ Neff g2r Λ A-terms = 0

m2soft ∼ 2Neff Cr g4

r Λ2 (Cr quadratic Casimirs O (1))

Potential NLSP Masses:

{mB = Neff g2

1 Λ Neff ≥ 2⇒ τR NLSP

m˜R=√

6Neff5 g2

1 Λ (or large running)

Evans (UIUC) Displaced Leptons November 13, 2015 7 / 24

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Gauge Mediation and τR NLSPsLifetimes

GMSB is a very well-motivated source of displaced particles

cτ ≈ 100µm(

100 GeVmτ

)5( √

F100 TeV

)4

What is√

F?

F < M2; otherwise arbitrary

cτ ∼ 10µm(

100 GeVmτ

)(M√F

)4 1N2

eff(minimal GM only)

LHC relevant range: 100µm . cτ . 1 m

Measuring mτR & cττR probes SUSY breaking!

Evans (UIUC) Displaced Leptons November 13, 2015 8 / 24

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Gauge Mediation and τR NLSPsLifetimes

GMSB is a very well-motivated source of displaced particles

cτ ≈ 100µm(

100 GeVmτ

)5( √

F100 TeV

)4

What is√

F?

F < M2; otherwise arbitrary

cτ ∼ 10µm(

100 GeVmτ

)(M√F

)4 1N2

eff(minimal GM only)

LHC relevant range: 100µm . cτ . 1 m

Measuring mτR & cττR probes SUSY breaking!

Evans (UIUC) Displaced Leptons November 13, 2015 8 / 24

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Gauge Mediation and τR NLSPsLEP Limits on Slepton NLSPs OPAL

50

60

70

80

90

100

-12 -10 -8 -6log(τlife/s)

m(τ∼

1) (G

eV/c

2 )

50

60

70

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90

100

-12 -10 -8 -6

a) τ∼

1 (τ∼

1 NLSP)

50

60

70

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90

100

-12 -10 -8 -6log(τlife/s)

m(µ∼

R) (

GeV

/c2 )

50

60

70

80

90

100

-12 -10 -8 -6

b) µ∼

R (l∼

R co-NLSP)

50

60

70

80

90

100

-12 -10 -8 -6log(τlife/s)

m(e∼

R) (

GeV

/c2 )

50

60

70

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90

100

-12 -10 -8 -6

c) e∼

R (l∼

R co-NLSP)

Excluded at 95% C.L.

Median expected limitMedian exp. ±1σMedian exp. ±2σ

Figure 19: The observed lower mass limits for pair-produced staus in the stau NLSP (a) andsmuons (b), selectrons (c) in the slepton co-NLSP scenario as a function of the particle lifetimeusing the direct ℓ+ℓ− search. For staus in the slepton co-NLSP scenario the observed and expectedlower limit are identical to the limits of the stau in the stau NLSP scenario. The mass limits arevalid for a messenger index N≤ 5. For the stau NLSP and slepton co-NLSP scenarios, the NLSPmass limits are set by the stau mass limit (mNLSP > 87.4GeV/c2 (a)) and by the smuon mass limit(mNLSP > 93.7GeV/c2 (b)), respectively.

61

mτ > 87 GeV mµ > 94 GeV

OPAL placed the best limits on sleptons of all lifetimes

Evans (UIUC) Displaced Leptons November 13, 2015 9 / 24

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CMS Displaced Lepton SearchCuts

Cut Summary of CMS eµPreselection

1 OS e±µ∓ paird` > 100µm

pT ,` > 25 GeV, |η`| < 2.5Reject 1.44 < |ηe| < 1.56

Irel,e∆R=0.3 < 0.10, Irel,µ

∆R=0.4 < 0.12∆R`j > 0.5 ∀ jets with pT > 10 GeV

∆Reµ > 0.5Veto additional leptons

0.10.050.02 21

0.1

0.05

1

0.02

2

dm

de SR3

SR2

SR1

.............................................. ..........................

.............................................. ..........................

.............................................. ..........................

.............................................. ..........................

Evans (UIUC) Displaced Leptons November 13, 2015 10 / 24

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CMS Displaced Lepton SearchCuts

Cut Summary of CMS eµPreselection

1 OS e±µ∓ paird` > 100µm

pT ,` > 25 GeV, |η`| < 2.5Reject 1.44 < |ηe| < 1.56

Irel,e∆R=0.3 < 0.10, Irel,µ

∆R=0.4 < 0.12∆R`j > 0.5 ∀ jets with pT > 10 GeV

∆Reµ > 0.5Veto additional leptons

0.10.050.02 21

0.1

0.05

1

0.02

2

dm

de SR3

SR2

SR1

.............................................. ..........................

.............................................. ..........................

.............................................. ..........................

.............................................. ..........................

Evans (UIUC) Displaced Leptons November 13, 2015 10 / 24

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CMS Displaced Lepton SearchCuts

Cut Summary of CMS eµPreselection

1 OS e±µ∓ paird` > 100µm

pT ,` > 25 GeV, |η`| < 2.5Reject 1.44 < |ηe| < 1.56

Irel,e∆R=0.3 < 0.10, Irel,µ

∆R=0.4 < 0.12∆R`j > 0.5 ∀ jets with pT > 10 GeV

∆Reµ > 0.5Veto additional leptons

0.10.050.02 21

0.1

0.05

1

0.02

2

dm

de SR3

SR2

SR1

.............................................. ........................................................................ ..........................

.............................................. ..........................

.............................................. ..........................

Evans (UIUC) Displaced Leptons November 13, 2015 10 / 24

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CMS Displaced Lepton SearchCuts

Cut Summary of CMS eµPreselection

1 OS e±µ∓ paird` > 100µm

pT ,` > 25 GeV, |η`| < 2.5Reject 1.44 < |ηe| < 1.56

Irel,e∆R=0.3 < 0.10, Irel,µ

∆R=0.4 < 0.12∆R`j > 0.5 ∀ jets with pT > 10 GeV

∆Reµ > 0.5Veto additional leptons

0.10.050.02 21

0.1

0.05

1

0.02

2

dm

de SR3

SR2

SR1

.............................................. ........................................................................ ..........................

.............................................. ..........................

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CMS Displaced Lepton SearchImpact Parameter

µ→ µG τ → µνν

d0

dZ

Impact Parameter is not the location of parent

b and τ decay products are more collimated

Evans (UIUC) Displaced Leptons November 13, 2015 11 / 24

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CMS Displaced Lepton SearchBackgrounds & Data4

[cm]0Electron d0 0.1 0.2 0.3 0.4 0.5

Entri

es /

0.01

cm

-310

-210

-110

1

10

210

310DataStat. & syst. errors

ττ→ZHFOther EWTop quark

= 0.1 cm)τ (ct~t~ = 1 cm)τ (ct~t~ = 10 cm)τ (ct~t~ = 0.1 cm)τ (ct~t~ = 1 cm)τ (ct~t~ = 10 cm)τ (ct~t~

CMS (8 TeV)-119.7 fb

[cm]0Muon d0 0.1 0.2 0.3 0.4 0.5

Entri

es /

0.01

cm

-310

-210

-110

1

10

210

310DataStat. & syst. errors

ττ→ZHFOther EWTop quark

= 0.1 cm)τ (ct~t~ = 1 cm)τ (ct~t~ = 10 cm)τ (ct~t~ = 0.1 cm)τ (ct~t~ = 1 cm)τ (ct~t~ = 10 cm)τ (ct~t~

CMS (8 TeV)-119.7 fb

Figure 1: Lepton transverse impact parameter distributions for data and expected backgroundprocesses after the preselection requirements have been applied, for electrons (left) and muons(right). The signal expected from 500 GeV top squark pair production is overlaid for ct =0.1 cm, 1 cm, and 10 cm. The event yields per bin have been rescaled to account for the varyingbin sizes. The rightmost bin of each plot contains the overflow entries.

less exclusive neighboring search region, which should always overestimate the backgroundin that bin. This technique produces virtually identical limits to simply using a null estimate inthese cases.

There are several sources of systematic uncertainty in this search. Cross section uncertaintiesfor simulated data sets range from 4% to 8% for the SM background and 15% to 28% for thesignal process. Following the official PDF4LHC recommendation [47], we obtain PDF uncer-tainties using an envelope of several PDF sets, ranging from 1% to 5%. The PDF and crosssection uncertainties are propagated into the limits for all simulated data sets. The luminos-ity estimate, based on the pixel cluster counting method [48], has an uncertainty of 2.6%. Forthe displaced track reconstruction efficiency, the (4%) correction is correlated for each lepton,resulting in a 8.0% systematic uncertainty per event. The uncertainty in the data-driven HF es-timate is 30% and is dominated by the limited size of the sample used. Uncertainties in triggerefficiency, pileup correction, and lepton correction factors are calculated and incorporated butare small compared to the previously mentioned uncertainties.

Table 1 shows the numbers of observed and expected background events in the three searchregions. We do not observe any significant excess over the background expectation. We set95% confidence level (CL) upper limits on the cross section for top squark pair production at8 TeV. We perform this as a simultaneous counting experiment in three bins of the three searchregions. We use a Bayesian calculation assuming a flat prior for the signal as a function oftop squark mass. Nuisance parameters arising from statistical uncertainties are modeled asgamma distributions, while all others are modeled as log-normal distributions. These crosssection limits are translated into upper limits on the top squark mass, where the cross sectionfor each mass hypothesis is calculated at next-to-leading-order and next-to-leading-logarithmicprecision within a simplified model with decoupled squarks and gluinos [49–51]. The resultingexpected and observed limit contours are shown in Fig. 2. The region to the left of the contoursis excluded. For a lifetime of ct = 2 cm, we exclude top squark masses up to 790 GeV, to becompared with a value of 780 GeV expected in the absence of any signal.

5

Table 1: Numbers of expected and observed events in the three search regions (see thetext for the definitions of these regions). Background and signal expectations are quoted asNexp ± 1s (stat)± 1s (syst). If the estimated background is zero in a particular search region,the estimate is instead taken from the preceding region. Since this should always overestimatethe background, we denote this by a preceding “<”.

Event source SR1 SR2 SR3Other EW 0.65± 0.13± 0.09 (0.89± 0.53± 0.12)⇥ 10�2 <(89± 53± 12)⇥ 10�4

Top quark 0.77± 0.04± 0.08 (1.25± 0.26± 0.12)⇥ 10�2 (2.4± 1.3± 0.2)⇥ 10�4

Z!tt 3.93± 0.42± 0.39 (0.73± 0.73± 0.07)⇥ 10�2 <(73± 73± 7)⇥ 10�4

HF 12.7± 0.2± 3.8 (98± 6± 30)⇥ 10�2 (340± 110± 100)⇥ 10�4

Total expected background 18.0± 0.5± 3.8 1.01± 0.06± 0.30 0.051± 0.015± 0.010Observed 19 0 0

pp!etet⇤ (Met = 500 GeV)ct = 0.1 cm 30.1± 0.7± 5.3 6.54± 0.34± 1.16 1.34± 0.15± 0.24ct = 1 cm 35.3± 0.8± 6.2 30.3± 0.7± 5.3 51.3± 1.0± 9.0ct = 10 cm 4.73± 0.30± 0.83 5.57± 0.32± 0.98 26.3± 0.7± 4.6

In summary, a search has been performed for new physics with an electron and muon with op-posite charges having a signature of large impact parameter values, with no requirements madeon jets or missing transverse energy. No excess is observed above background for displace-ments up to 2 cm. While this search is expected to have sensitivity to a wide range of theoret-ical models, the results are interpreted in the context of a displaced supersymmetry model [1]with a pair-produced top squark having a lifetime between ct = 0.02 cm and ct = 100 cm.Limits are placed at 95% C.L. on this model as a function of top squark mass and lifetime. Fora lifetime hypothesis of ct = 2 cm, top squark masses up to 790 GeV are excluded. These arethe most restrictive limits obtained to date on this model.

AcknowledgmentsWe congratulate our colleagues in the CERN accelerator departments for the excellent perfor-mance of the LHC and thank the technical and administrative staffs at CERN and at other CMSinstitutes for their contributions to the success of the CMS effort. In addition, we gratefullyacknowledge the computing centers and personnel of the Worldwide LHC Computing Gridfor delivering so effectively the computing infrastructure essential to our analyses. Finally, weacknowledge the enduring support for the construction and operation of the LHC and the CMSdetector provided by the following funding agencies: BMWFW and FWF (Austria); FNRS andFWO (Belgium); CNPq, CAPES, FAPERJ, and FAPESP (Brazil); MES (Bulgaria); CERN; CAS,MoST, and NSFC (China); COLCIENCIAS (Colombia); MSES and CSF (Croatia); RPF (Cyprus);MoER, ERC IUT and ERDF (Estonia); Academy of Finland, MEC, and HIP (Finland); CEA andCNRS/IN2P3 (France); BMBF, DFG, and HGF (Germany); GSRT (Greece); OTKA and NIH(Hungary); DAE and DST (India); IPM (Iran); SFI (Ireland); INFN (Italy); NRF and WCU (Re-public of Korea); LAS (Lithuania); MOE and UM (Malaysia); CINVESTAV, CONACYT, SEP,and UASLP-FAI (Mexico); MBIE (New Zealand); PAEC (Pakistan); MSHE and NSC (Poland);FCT (Portugal); JINR (Dubna); MON, RosAtom, RAS and RFBR (Russia); MESTD (Serbia);SEIDI and CPAN (Spain); Swiss Funding Agencies (Switzerland); MST (Taipei); ThEPCenter,IPST, STAR and NSTDA (Thailand); TUBITAK and TAEK (Turkey); NASU and SFFR (Ukraine);STFC (United Kingdom); DOE and NSF (U.S.).

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CMS Displaced Lepton SearchRecast Limits on τR

No limits on direct τR production!

But . . . a τR is not expected in isolation

Near degenerate slepton limits

meR= mµR = mτR + 10 GeV

˜R → τR + {soft}

100 125 150 175 2000.1

1

10

0.5

5

Mté HGeVL

ctHcmL

téR ê méR ê eéR

Limits are very sensitive to mτR

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CMS Displaced Lepton SearchRecast Limits on τR

No limits on direct τR production!

But . . . a τR is not expected in isolation

Near degenerate slepton limits

meR= mµR = mτR + 10 GeV

˜R → τR + {soft}

100 125 150 175 2000.1

1

10

0.5

5

Mté HGeVL

ctHcmL

téR ê méR ê eéR

Limits are very sensitive to mτR

Evans (UIUC) Displaced Leptons November 13, 2015 13 / 24

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CMS Displaced Lepton SearchRecast Limits on τR

No limits on direct τR production!

But . . . a τR is not expected in isolation

Higgsino production limits

mχ01

= mχ02

= mχ+1

χ01,2 → τ±R τ

∓, χ±1 → τ±R ν

200 300 4000.01

0.1

1

10

100

5

50

0.05

0.5

MHé HGeVL

ctHcmL

Mté= 100 GeVMté= 300 GeV

Limits are very sensitive to mτR

Evans (UIUC) Displaced Leptons November 13, 2015 13 / 24

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CMS Displaced Lepton SearchRecast Limits on τR

No limits on direct τR production!

But . . . a τR is not expected in isolation

Stop production limits

mH = mt − 50 GeV

t → bH+ → bντ+R

200 300 400 500 600 700

0.01

0.1

1

10

100

5

50

0.05

0.5

Mté HGeVL

ctHcmL

Mté= 100 GeVMté= 300 GeVMté= 500 GeV

Limits are very sensitive to mτR

Evans (UIUC) Displaced Leptons November 13, 2015 13 / 24

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CMS Displaced Lepton SearchRecast Limits on τR

No limits on direct τR production!

But . . . a τR is not expected in isolation

Gluino production limits

mt = mg − 200 GeVmH = mt − 50 GeV

g → t t → tbH+ → tbντ+R

g → t∗t → t bH− → t bντ−R400 500 600 700 800 900 1000

0.01

0.1

1

10

100

5

50

0.05

0.5

Mgé HGeVL

ctHcmL

Mté= 100 GeVMté= 300 GeVMté= 500 GeV

Limits are very sensitive to mτR

Evans (UIUC) Displaced Leptons November 13, 2015 13 / 24

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CMS Displaced Lepton SearchPotential Improvements?

There are several lessons from GMSB τRs to improve sensitivity

BR(τ+τ− → e±µ∓ + X ) = 6%BR(τ+τ− → e+e− + X ) = 3%BR(τ+τ− → µ+µ− + X ) = 3%

1) Add same-flavor lepton channels

BR(τ+τ− → e±τ∓h + X ) = 23%BRτ+τ− → µ±τ∓h + X ) = 23%BR(τ+τ− → τ±h τ

∓h + X ) = 42%

2) Include hadronic τhs

Experimental feasibility of displaced τhs?

Evans (UIUC) Displaced Leptons November 13, 2015 14 / 24

Page 42: Displaced Leptons from Gauge Mediation and Beyondqqqqqqqqqqqqq qqqqqqq qqqq qqqqq qqqq qqqq qqqqqqq qqqqqqqqqqq qqqqqqqqq qqqq qqq qqqq qqqq q q qqqq qqqqq qqqqqqq qqqqqqqqqq Models

CMS Displaced Lepton SearchPotential Improvements?

There are several lessons from GMSB τRs to improve sensitivity

BR(τ+τ− → e±µ∓ + X ) = 6%BR(τ+τ− → e+e− + X ) = 3%BR(τ+τ− → µ+µ− + X ) = 3%

1) Add same-flavor lepton channels

BR(τ+τ− → e±τ∓h + X ) = 23%BRτ+τ− → µ±τ∓h + X ) = 23%BR(τ+τ− → τ±h τ

∓h + X ) = 42%

2) Include hadronic τhs

Experimental feasibility of displaced τhs?

Evans (UIUC) Displaced Leptons November 13, 2015 14 / 24

Page 43: Displaced Leptons from Gauge Mediation and Beyondqqqqqqqqqqqqq qqqqqqq qqqq qqqqq qqqq qqqq qqqqqqq qqqqqqqqqqq qqqqqqqqq qqqq qqq qqqq qqqq q q qqqq qqqqq qqqqqqq qqqqqqqqqq Models

CMS Displaced Lepton SearchPotential Improvements?

0.0 0.2 0.4 0.6 0.8 1.00

1

2

3

4

téR téL

dΓdx

x = E`/mτ

Right-handed polarized τs from τR decays give softer leptons

3) Lower pT thresholds can capture a lot more signalAdditional triggers – E/T + ``, E/T , ```, etc

Evans (UIUC) Displaced Leptons November 13, 2015 15 / 24

Page 44: Displaced Leptons from Gauge Mediation and Beyondqqqqqqqqqqqqq qqqqqqq qqqq qqqqq qqqq qqqq qqqqqqq qqqqqqqqqqq qqqqqqqqq qqqq qqq qqqq qqqq q q qqqq qqqqq qqqqqqq qqqqqqqqqq Models

CMS Displaced Lepton SearchPotential Improvements?

Search vetoes additional leptons.Why?

Displaced multilepton backgroundshould be very small

(CDF ghost muons???)

d (cm)0 0.5 1 1.5 2

Muo

ns /

(0.0

08 c

m)

1

10

210

310

410

510

610

FIG. 7: Impact parameter distribution of muons contributed by ghost (•) and QCD (histogram)

events. Muon tracks are selected with loose SVX requirements. The detector resolution is ≃ 30 µm,

whereas bins are 80 µm wide.

1/ptrackT )2/σ2

1/pT] to measure the difference between the momentum vectors of the undecayed

pions or kaons (h) and that of the closest reconstructed tracks 3. Figure 9 shows the ∆

distribution as a function of R, the decay distance from the beamline. One notes that most

of the decays at radial distances R ≤ 120 cm yield misreconstructed tracks. The numbers

3 The assumed experimental resolutions are σφ[rad] = ση = 10−3 and σ1/pT= 2 · 10−3 [GeV/c]−1.

20

CDF 0810.5357

Gluino & Higgsino model have additional leptons often ∼(45%, 30%)

If pair-produced object is not charged under lepton number,additional leptons are generic

4) Don’t veto additional leptons

Evans (UIUC) Displaced Leptons November 13, 2015 16 / 24

Page 45: Displaced Leptons from Gauge Mediation and Beyondqqqqqqqqqqqqq qqqqqqq qqqq qqqqq qqqq qqqq qqqqqqq qqqqqqqqqqq qqqqqqqqq qqqq qqq qqqq qqqq q q qqqq qqqqq qqqqqqq qqqqqqqqqq Models

CMS Displaced Lepton SearchPotential Improvements?

Search vetoes additional leptons.Why?

Displaced multilepton backgroundshould be very small

(CDF ghost muons???)

d (cm)0 0.5 1 1.5 2

Muo

ns /

(0.0

08 c

m)

1

10

210

310

410

510

610

FIG. 7: Impact parameter distribution of muons contributed by ghost (•) and QCD (histogram)

events. Muon tracks are selected with loose SVX requirements. The detector resolution is ≃ 30 µm,

whereas bins are 80 µm wide.

1/ptrackT )2/σ2

1/pT] to measure the difference between the momentum vectors of the undecayed

pions or kaons (h) and that of the closest reconstructed tracks 3. Figure 9 shows the ∆

distribution as a function of R, the decay distance from the beamline. One notes that most

of the decays at radial distances R ≤ 120 cm yield misreconstructed tracks. The numbers

3 The assumed experimental resolutions are σφ[rad] = ση = 10−3 and σ1/pT= 2 · 10−3 [GeV/c]−1.

20

CDF 0810.5357

Gluino & Higgsino model have additional leptons often ∼(45%, 30%)

If pair-produced object is not charged under lepton number,additional leptons are generic

4) Don’t veto additional leptons

Evans (UIUC) Displaced Leptons November 13, 2015 16 / 24

Page 46: Displaced Leptons from Gauge Mediation and Beyondqqqqqqqqqqqqq qqqqqqq qqqq qqqqq qqqq qqqq qqqqqqq qqqqqqqqqqq qqqqqqqqq qqqq qqq qqqq qqqq q q qqqq qqqqq qqqqqqq qqqqqqqqqq Models

CMS Displaced Lepton SearchPotential Improvements?

Search vetoes additional leptons.Why?

Displaced multilepton backgroundshould be very small

(CDF ghost muons???)

d (cm)0 0.5 1 1.5 2

Muo

ns /

(0.0

08 c

m)

1

10

210

310

410

510

610

FIG. 7: Impact parameter distribution of muons contributed by ghost (•) and QCD (histogram)

events. Muon tracks are selected with loose SVX requirements. The detector resolution is ≃ 30 µm,

whereas bins are 80 µm wide.

1/ptrackT )2/σ2

1/pT] to measure the difference between the momentum vectors of the undecayed

pions or kaons (h) and that of the closest reconstructed tracks 3. Figure 9 shows the ∆

distribution as a function of R, the decay distance from the beamline. One notes that most

of the decays at radial distances R ≤ 120 cm yield misreconstructed tracks. The numbers

3 The assumed experimental resolutions are σφ[rad] = ση = 10−3 and σ1/pT= 2 · 10−3 [GeV/c]−1.

20

CDF 0810.5357

Gluino & Higgsino model have additional leptons often ∼(45%, 30%)

If pair-produced object is not charged under lepton number,additional leptons are generic

4) Don’t veto additional leptons

Evans (UIUC) Displaced Leptons November 13, 2015 16 / 24

Page 47: Displaced Leptons from Gauge Mediation and Beyondqqqqqqqqqqqqq qqqqqqq qqqq qqqqq qqqq qqqq qqqqqqq qqqqqqqqqqq qqqqqqqqq qqqq qqq qqqq qqqq q q qqqq qqqqq qqqqqqq qqqqqqqqqq Models

CMS Displaced Lepton SearchPotential Improvements?

Gluino & Higgsino models have Majorana particles in chain

⇒ same-sign displaced leptons

5) Include same-sign displaced lepton signal regions

5’) Same-sign possibility fairly generic, be wary of CR contamination

SS` can appear in the t → `+b benchmark of CMS 1409.4789Mesino oscillation allows up to 3/8 of events as SS` Sarid, Thomas – 9909349

Evans (UIUC) Displaced Leptons November 13, 2015 17 / 24

Page 48: Displaced Leptons from Gauge Mediation and Beyondqqqqqqqqqqqqq qqqqqqq qqqq qqqqq qqqq qqqq qqqqqqq qqqqqqqqqqq qqqqqqqqq qqqq qqq qqqq qqqq q q qqqq qqqqq qqqqqqq qqqqqqqqqq Models

CMS Displaced Lepton SearchPotential Improvements?

Gluino & Higgsino models have Majorana particles in chain

⇒ same-sign displaced leptons

5) Include same-sign displaced lepton signal regions

5’) Same-sign possibility fairly generic, be wary of CR contamination

SS` can appear in the t → `+b benchmark of CMS 1409.4789Mesino oscillation allows up to 3/8 of events as SS` Sarid, Thomas – 9909349

Evans (UIUC) Displaced Leptons November 13, 2015 17 / 24

Page 49: Displaced Leptons from Gauge Mediation and Beyondqqqqqqqqqqqqq qqqqqqq qqqq qqqqq qqqq qqqq qqqqqqq qqqqqqqqqqq qqqqqqqqq qqqq qqq qqqq qqqq q q qqqq qqqqq qqqqqqq qqqqqqqqqq Models

CMS Displaced Lepton SearchPotential Improvements?

200 300 400 500 600 700

0.01

0.1

1

10

100

5

50

0.05

0.5

Mté HGeVL

ctHcmL

Mté= 100 GeVMté= 300 GeVMté= 500 GeV

............................................................................................................... ....

..................................................

................

.

..........................

qqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqqqqqqqqqqqqqqqqqq qqqqqqqqqqqqqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq

............................................................................................................... ....

..............

.........

............

...............

.................

..........................

Disappearing Tracks∗

HSCP

Prompt

Extend reach in cτ?

6) Allow d0 above 2 cm(Even just for muons)

7) Relax isolation in high d0 bins(Backgrounds are small there)

Evans (UIUC) Displaced Leptons November 13, 2015 18 / 24

Page 50: Displaced Leptons from Gauge Mediation and Beyondqqqqqqqqqqqqq qqqqqqq qqqq qqqqq qqqq qqqq qqqqqqq qqqqqqqqqqq qqqqqqqqq qqqq qqq qqqq qqqq q q qqqq qqqqq qqqqqqq qqqqqqqqqq Models

CMS Displaced Lepton SearchPotential Improvements?

200 300 400 500 600 700

0.01

0.1

1

10

100

5

50

0.05

0.5

Mté HGeVL

ctHcmL

Mté= 100 GeVMté= 300 GeVMté= 500 GeV

............................................................................................................... ....

..................................................

................

.

..........................

qqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqqqqqqqqqqqqqqqqqq qqqqqqqqqqqqqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq

............................................................................................................... ....

..............

.........

............

...............

.................

..........................

Disappearing Tracks∗

HSCP

Prompt

Extend reach in cτ?

6) Allow d0 above 2 cm(Even just for muons)

7) Relax isolation in high d0 bins(Backgrounds are small there)

Evans (UIUC) Displaced Leptons November 13, 2015 18 / 24

Page 51: Displaced Leptons from Gauge Mediation and Beyondqqqqqqqqqqqqq qqqqqqq qqqq qqqqq qqqq qqqq qqqqqqq qqqqqqqqqqq qqqqqqqqq qqqq qqq qqqq qqqq q q qqqq qqqqq qqqqqqq qqqqqqqqqq Models

CMS Displaced Lepton SearchPotential Improvements?

200 300 400 500 600 700

0.01

0.1

1

10

100

5

50

0.05

0.5

Mté HGeVL

ctHcmL

Mté= 100 GeVMté= 300 GeVMté= 500 GeV

............................................................................................................... ....

..................................................

................

.

..........................

qqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqqqqqqqqqqqqqqqqqq qqqqqqqqqqqqqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqq

............................................................................................................... ....

..............

.........

............

...............

.................

..........................

Disappearing Tracks∗

HSCP

Prompt

Extend reach in cτ?

6) Allow d0 above 2 cm(Even just for muons)

7) Relax isolation in high d0 bins(Backgrounds are small there)

Evans (UIUC) Displaced Leptons November 13, 2015 18 / 24

Page 52: Displaced Leptons from Gauge Mediation and Beyondqqqqqqqqqqqqq qqqqqqq qqqq qqqqq qqqq qqqq qqqqqqq qqqqqqqqqqq qqqqqqqqq qqqq qqq qqqq qqqq q q qqqq qqqqq qqqqqqq qqqqqqqqqq Models

Same-flavor Displaced Lepton ModelsSlepton Co-NLSP in GGM

If m˜R−mτR � 10 GeV or mB � mτR ,

then Γ(˜R → `τ τR)� Γ(˜R → `G) ⇒ Slepton Co-NLSP

Events have displaced e+e−, µ+µ−, or τ+τ−

Small splitting can happen for low tanβ

In GGM, M1 and m2ER

are independent

µ+µ− and e+e− searches would be more sensitive to this model

Can get 100% e+e− or µ+µ− from Extended GMSB: W ⊃ κiEci ΦΦ

or Freeze-in of dark matter in matter dominated era: L ⊃ λijφ+`iχj

Evans (UIUC) Displaced Leptons November 13, 2015 19 / 24

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Same-flavor Displaced Lepton ModelsSlepton Co-NLSP in GGM

If m˜R−mτR � 10 GeV or mB � mτR ,

then Γ(˜R → `τ τR)� Γ(˜R → `G) ⇒ Slepton Co-NLSP

Events have displaced e+e−, µ+µ−, or τ+τ−

Small splitting can happen for low tanβ

In GGM, M1 and m2ER

are independent

µ+µ− and e+e− searches would be more sensitive to this model

Can get 100% e+e− or µ+µ− from Extended GMSB: W ⊃ κiEci ΦΦ

or Freeze-in of dark matter in matter dominated era: L ⊃ λijφ+`iχj

Evans (UIUC) Displaced Leptons November 13, 2015 19 / 24

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Same-flavor Displaced Lepton ModelsSlepton Co-NLSP in GGM

If m˜R−mτR � 10 GeV or mB � mτR ,

then Γ(˜R → `τ τR)� Γ(˜R → `G) ⇒ Slepton Co-NLSP

Events have displaced e+e−, µ+µ−, or τ+τ−

Small splitting can happen for low tanβ

In GGM, M1 and m2ER

are independent

µ+µ− and e+e− searches would be more sensitive to this model

Can get 100% e+e− or µ+µ− from Extended GMSB: W ⊃ κiEci ΦΦ

or Freeze-in of dark matter in matter dominated era: L ⊃ λijφ+`iχj

Evans (UIUC) Displaced Leptons November 13, 2015 19 / 24

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Same-flavor Displaced Lepton Modelsτ1 with LLE RPV

RPV can do almost anything

•��@@

superpartner

SM

SM

W = 12λijk Li Lj Ec

k + λ′ijk Li Qj Dck + 1

2λ′′ijk Uc

i Dcj Dc

k + µi Li Hu

i, j, k = generation indices

•LLE ��

@@

˜L,i

`k

νj

•��@@

˜R,k

`i,j

νj,i

•��@@

νi

`j

`kq qqqqqqqqqq qqqqqqqqq qqqqqqqq qqqqqqqq qqqqqqq qqqqqq qqqqqq qqqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqqq qqqqqq

qqqqqq qqqqqqq qqqqqqqq qqqqqqqq qqqqqqqqq qqqqqqqqqq

cτ ≈ 1 cm(

10−7

λ232

)2(100 GeVmτ

)sec2 θτ (θτ = 0⇒ τ1 = τL)

λ232 cos θτ � other RPV ⇒ BR(τ1 → µν) ≈ 100%

Evans (UIUC) Displaced Leptons November 13, 2015 20 / 24

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Same-flavor Displaced Lepton Modelsτ1 with LLE RPV

RPV can do almost anything

•��@@

superpartner

SM

SM

W = 12λijk Li Lj Ec

k + λ′ijk Li Qj Dck + 1

2λ′′ijk Uc

i Dcj Dc

k + µi Li Hu

i, j, k = generation indices

•LLE ��

@@

˜L,i

`k

νj

•��@@

˜R,k

`i,j

νj,i

•��@@

νi

`j

`k

q qqqqqqqqqq qqqqqqqqq qqqqqqqq qqqqqqqq qqqqqqq qqqqqq qqqqqq qqqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqqq qqqqqq

qqqqqq qqqqqqq qqqqqqqq qqqqqqqq qqqqqqqqq qqqqqqqqqq

cτ ≈ 1 cm(

10−7

λ232

)2(100 GeVmτ

)sec2 θτ (θτ = 0⇒ τ1 = τL)

λ232 cos θτ � other RPV ⇒ BR(τ1 → µν) ≈ 100%

Evans (UIUC) Displaced Leptons November 13, 2015 20 / 24

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Same-flavor Displaced Lepton Modelsτ1 with LLE RPV

RPV can do almost anything

•��@@

superpartner

SM

SM

W = 12λijk Li Lj Ec

k + λ′ijk Li Qj Dck + 1

2λ′′ijk Uc

i Dcj Dc

k + µi Li Hu

i, j, k = generation indices

•LLE ��

@@

˜L,i

`k

νj

•��@@

˜R,k

`i,j

νj,i

•��@@

νi

`j

`kq qqqqqqqqqq qqqqqqqqq qqqqqqqq qqqqqqqq qqqqqqq qqqqqq qqqqqq qqqqqq qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq qqqqqq qqqqqq

qqqqqq qqqqqqq qqqqqqqq qqqqqqqq qqqqqqqqq qqqqqqqqqq

cτ ≈ 1 cm(

10−7

λ232

)2(100 GeVmτ

)sec2 θτ (θτ = 0⇒ τ1 = τL)

λ232 cos θτ � other RPV ⇒ BR(τ1 → µν) ≈ 100%

Evans (UIUC) Displaced Leptons November 13, 2015 20 / 24

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Same-Flavor Displaced Lepton SearchBackgrounds

How can we estimate 13 TeV backgrounds?4

[cm]0Electron d0 0.1 0.2 0.3 0.4 0.5

Entri

es /

0.01

cm

-310

-210

-110

1

10

210

310DataStat. & syst. errors

ττ→ZHFOther EWTop quark

= 0.1 cm)τ (ct~t~ = 1 cm)τ (ct~t~ = 10 cm)τ (ct~t~ = 0.1 cm)τ (ct~t~ = 1 cm)τ (ct~t~ = 10 cm)τ (ct~t~

CMS (8 TeV)-119.7 fb

[cm]0Muon d0 0.1 0.2 0.3 0.4 0.5

Entri

es /

0.01

cm

-310

-210

-110

1

10

210

310DataStat. & syst. errors

ττ→ZHFOther EWTop quark

= 0.1 cm)τ (ct~t~ = 1 cm)τ (ct~t~ = 10 cm)τ (ct~t~ = 0.1 cm)τ (ct~t~ = 1 cm)τ (ct~t~ = 10 cm)τ (ct~t~

CMS (8 TeV)-119.7 fb

Figure 1: Lepton transverse impact parameter distributions for data and expected backgroundprocesses after the preselection requirements have been applied, for electrons (left) and muons(right). The signal expected from 500 GeV top squark pair production is overlaid for ct =0.1 cm, 1 cm, and 10 cm. The event yields per bin have been rescaled to account for the varyingbin sizes. The rightmost bin of each plot contains the overflow entries.

less exclusive neighboring search region, which should always overestimate the backgroundin that bin. This technique produces virtually identical limits to simply using a null estimate inthese cases.

There are several sources of systematic uncertainty in this search. Cross section uncertaintiesfor simulated data sets range from 4% to 8% for the SM background and 15% to 28% for thesignal process. Following the official PDF4LHC recommendation [47], we obtain PDF uncer-tainties using an envelope of several PDF sets, ranging from 1% to 5%. The PDF and crosssection uncertainties are propagated into the limits for all simulated data sets. The luminos-ity estimate, based on the pixel cluster counting method [48], has an uncertainty of 2.6%. Forthe displaced track reconstruction efficiency, the (4%) correction is correlated for each lepton,resulting in a 8.0% systematic uncertainty per event. The uncertainty in the data-driven HF es-timate is 30% and is dominated by the limited size of the sample used. Uncertainties in triggerefficiency, pileup correction, and lepton correction factors are calculated and incorporated butare small compared to the previously mentioned uncertainties.

Table 1 shows the numbers of observed and expected background events in the three searchregions. We do not observe any significant excess over the background expectation. We set95% confidence level (CL) upper limits on the cross section for top squark pair production at8 TeV. We perform this as a simultaneous counting experiment in three bins of the three searchregions. We use a Bayesian calculation assuming a flat prior for the signal as a function oftop squark mass. Nuisance parameters arising from statistical uncertainties are modeled asgamma distributions, while all others are modeled as log-normal distributions. These crosssection limits are translated into upper limits on the top squark mass, where the cross sectionfor each mass hypothesis is calculated at next-to-leading-order and next-to-leading-logarithmicprecision within a simplified model with decoupled squarks and gluinos [49–51]. The resultingexpected and observed limit contours are shown in Fig. 2. The region to the left of the contoursis excluded. For a lifetime of ct = 2 cm, we exclude top squark masses up to 790 GeV, to becompared with a value of 780 GeV expected in the absence of any signal.

1. Use 8 TeV backgrounds to estimate 8 TeV SF backgrounds2. Rescale backgrounds by σ(13)

σ(8) (supported by HF MC)

3. Assume displaced Z → e+e−/µ+µ− is small or can be controlled

Evans (UIUC) Displaced Leptons November 13, 2015 21 / 24

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Same-Flavor Displaced Lepton SearchBackgrounds

How can we estimate 13 TeV backgrounds?

Sample SR1 SR2 SR3e±µ∓ 8 TeV (CMS actual) 18.0± 3.8 1.01± 0.31 0.051± 0.018e±µ∓ 8 TeV (estimate) 19.8± 4.1 0.92± 0.28 0.055± 0.024e±µ∓ 13 TeV (20 fb−1) 34.1± 6.5 1.49± 0.44 0.086± 0.038e+e− 13 TeV (20 fb−1) 25.2± 3.6 1.43± 0.33 0.31± 0.06µ+µ− 13 TeV (20 fb−1) 13.0± 3.1 0.50± 0.15 0.012± 0.006

1. Use 8 TeV backgrounds to estimate 8 TeV SF backgrounds2. Rescale backgrounds by σ(13)

σ(8) (supported by HF MC)

3. Assume displaced Z → e+e−/µ+µ− is small or can be controlled

Evans (UIUC) Displaced Leptons November 13, 2015 21 / 24

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Same-Flavor Displaced Lepton Search13 TeV Same-Flavor Search

100 150 200 250 300 350 400 450 500

0.01

0.1

1

10

100

5

50

0.005

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Mlé HGeVL

ctHcmL

eéRméRtéR

téR Hem onlyL

Evans (UIUC) Displaced Leptons November 13, 2015 22 / 24

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Same-Flavor Displaced Lepton SearchImproving a 13 TeV Same-Flavor Search

e+ → e+G⇒ hard leptonsµ+ → µ+G⇒ hard leptonsτ+ → τ+G⇒ soft leptons

8) SF search can be improved withhigher pT ,`, lower background bins

100 150 200 250 300 350 400 450 500

0.01

0.1

1

10

100

5

50

0.005

0.05

0.5

Mlé HGeVL

ctHcmL

eéRméRtéR

téR Hem onlyLq qqqqqqqqq qqqqqqqq qqqqqqq qqqqqq qqqqq qqqqq qqqqqqqqqqqqqqqqqqq

qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

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Evans (UIUC) Displaced Leptons November 13, 2015 23 / 24

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Conclusions

I Displaced τs from GMSB: well-motivated and weakly constrained

I CMS large impact parameter e±µ∓ is not optimized for this signal

I Sensitivity to τR can be improved

I Add SF` binsI Add τh binsI Lowered pT thresholdsI Extend d0 > 2 cm

I Add SS` bins (CR contamination)I Allow extra `sI Relax isolation in high d0 binsI Add high pT ,` bins

I Disappearing track searches should consider this benchmark

I Several models with displaced ee/µµ uncovered at LHC

Evans (UIUC) Displaced Leptons November 13, 2015 24 / 24