Dimitri V. Nanopoulos

International School of Subnuclear Physics – 50th

What we would like LHC to give usErice, Sicily, Italy

23 June – 2 July 2012

ONE-PARAMETER MODEL FOR THE SUPERWORLD

Minimal Supergravity (mSUGRA)M0 Universal soft scalar mass

M1/2 Universal soft gaugino mass

μ Higgsino Mixing Parameter

A0 Universal Trilinear Coupling

B0 Higgs Bilinear Coupling tan β Ratio of Higgs VEVs

|μ| and B0 term can be determined by the requirement for REWSB,so we are left with only five parameters:

M0, M1/2, A0, tan β, and sgn(μ)

No-scale Supergravity (nSUGRA)Choose a specific form for the Kähler potential:

0SUGRAV At the tree-level

Furthermore the gaugino mass m1/2 remains undetermined. Thus, the soft terms are not fixed (at the classical level) close to the Planck scale.

So, m1/2 =m1/2(Ti)

with <Ti> determined by radiative corrections.

m1/2, m0 = 0, A0 = 0, B = 0

Thus, in principle all soft-terms may be determined in terms of only one-parameter, m1/2 The One-Parameter Model

K = -3ln(T + T* - Σφi*φi)

The no-scale structure emerges naturally as theinfrared limit of string theory.

In particular,

• Heterotic M-theory compactifications• Type IIB flux compactifications – Flipped SU(5)• F-theory compactifications (non-pertubative limit of Type IIB)

Relation to String Theory

Strict No-scale Moduli Scenario: m0 = A = B = 0 Special Dilaton Scenario:

These ansatz combined with the no-scale condition define the so-called one-parameter model since the soft-terms are now all defined in terms m1/2

The nSUGRA ‘One-Parameter Model’

Subset of the mSUGRA parameter spaceHighly constrained, but predictive!

1/ 20 3mm 1/ 2A m 2 1/ 2

3mB

Ellis, Kounnas, and DVN, Nucl.Phys.B247:373-395,1984 Lopez, DVN, and Zichichi, Phys.Lett.B319:451-456,1993 Lopez, DVN, and Zichichi, Int.J.Mod.Phys.A10:4241-4264,1995 Lopez, DVN, and Zichichi, Phys.Rev.D52:4178-4182,1995

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Key Experimental Constraints• 7-Year WMAP Cold Dark Matter Relic Density

Measurement• Experimental limits on the Flavor Changing

Neutral Current process b → sg• Anomalous magnetic moment of the muon• LHC Limits on rare decay Bs

0→μ+μ-

• Proton Lifetime greater than 8 x 1033 Y• LEP limits on the light CP even Higgs mass• Compliance with all precision electroweak

measurements (Mz, as, QW, aem, mt, mb) * The Weinberg angle floats mildly according to original program design.

1 1034 Yr

No-Scale F-SU(5) with vectorlike particles (b3 = 0) SUSY spectrum

Mt1 < Mg < Mq

Prominent decay channels have high multiplicity of third-generation quarks:

Pair produced gluinos generate events rich with jets and tau.

Considered excellent channel for discovery during early LHC run.

Suggested LHC early run signatures for 5-10fb-1@7TeV: ≥ 9 jets ≥1τ & ≥ 3 b-jets

Discovery of No-Scale F-SU(5) Signal at LHC

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bbWbbWtbttg

bbWWttttg

~ ~ ~

F-SU(5) has peak in number of events shifted to a large number of jets

Standard Model and mSUGRA processes have a peak at a lower number of jets

This will serve as a very distinct signature of F-SU(5) with vector-like particles

However, requires specialized cuts to observe this very distinct characteristic! → Lower minimum pt for a single jet to 20 GeV for M1/2<500 GeV → Maintain pt for a single jet at 50-80 GeV for M1/2>500 GeV → Retain only those events with 9 or more jets

M1/2 708 GeV

MV 3215 GeV

tanβ 22.22

mt 174.4 GeV

Ω∙h2 0.1138

Br(BS0μ+μ-) 3.5x10-9

Br(bsγ) 3.15x10-4

mLSP 143 GeV

mstop1 786 GeV

mgluino 952 GeV

muLsquark 1490 GeV

mh 124.4 GeV

No-Scale F-SU(5) Built Upon Triagonal Foundation of i. Flipped SU(5) GUT ii. Extra TeV-Scale Vector-like Particle, or Flippons iii. No-Scale Supergravity

F-SU(5) Supersymmetry signature at LHC is ≥9 jets Flippons b3=0 Light Gluino Gluino Decays to Stop Abundance of Top Quarks Large Multijet Signature

F-SU(5) Fits Recent CMS & ATLAS Multijet Observations at LHC •M1/2=708 GeV perfectly explains small ATLAS data event excesses for 5 fb-1

•F-SU(5) M1/2=708 GeV will predict ATLAS Observations for 10 fb-1

Flippons contribution in F-SU(5) elevates Higgs mass to 125 GeV, in precise agreement with CMS, ATLAS, and CDF/D0 observations

SUSY & Higgs boson signals could be statistically significant in 2012

Is F-SU(5) the high-energy framework for our universe? Stay tuned in 2012!

F-SU(5) is highly consistent with CMS & ATLAS searches

for both SUSY and the Higgs boson