Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9....

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Axions, Majorana Neutrino Masses and implications for the dark sector of the Universe Workshop on the Standard Model and Beyond September 2 - 10, 2017

Transcript of Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9....

Page 1: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Axions, Majorana Neutrino Masses and implications for the dark sector

of the Universe

Workshop on the Standard Model and Beyond

September 2 - 10, 2017

Page 2: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

•  PART I: Mechanism (beyond seesaw) for right-handed neutrino mass generation through Axion-Right-handed Neutrino Interactions

•  PART II – Astrophysical Implications: ΛCDMfitsverywellAstrophysicalDataforUniverseatLarge scales

•  BUT:@GALACTICSCALES,DWARFGALAXIES)–DISCREPANCYbetweenΛCDM-basedsimula?onsandobserva?ons–“small scale Cosmology crisis” – problems (i)Core-cuspproblem,(ii)Themissingsatellitesproblem

(iii)Too-Big-to-failproblem• 

•  Self-Interac?ngDarkmaLer(SIDM)asasoluDon(ontopofastrophysicalones)?

•  PART III:Right-Handed(50keVmass)neutrinoswithmassivevectorself-interacDonsasaconcreteSIDMmodel&consequencesforgalacDcstructure

Arguelles,NEM,Rueda,RuffiniJCAP1604(2016)no.04,038

NEM&PilaXsisPhys.Rev.D86(2012)124038

Page 3: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

•  PART I: Mechanism (beyond seesaw) for right-handed neutrino mass generation through Axion-Right-handed Neutrino Interactions

•  PART II – Astrophysical Implications: ΛCDMfitsverywellAstrophysicalDataforUniverseatLarge scales

•  BUT:@GALACTICSCALES,DWARFGALAXIES)–DISCREPANCYbetweenΛCDM-basedsimula?onsandobserva?ons–“small scale Cosmology crisis” – problems (i)Core-cuspproblem,(ii)Themissingsatellitesproblem

(iii)Too-Big-to-failproblem• 

•  Self-Interac?ngDarkmaLer(SIDM)asasoluDon(ontopofastrophysicalones)?

•  PART III:Right-Handed(50keVmass)neutrinoswithmassivevectorself-interacDonsasaconcreteSIDMmodel&consequencesforgalacDcstructure

Arguelles,NEM,Rueda,RuffiniJCAP1604(2016)no.04,038

NEM&PilaXsisPhys.Rev.D86(2012)124038

Page 4: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

•  PART I: Mechanism (beyond seesaw) for right-handed neutrino mass generation through Axion-Right-handed Neutrino Interactions

•  PART II – Astrophysical Implications: ΛCDMfitsverywellAstrophysicalDataforUniverseatLarge scales

•  BUT:@GALACTICSCALES,DWARFGALAXIES)–DISCREPANCYbetweenΛCDM-basedsimula?onsandobserva?ons–“small scale Cosmology crisis” – problems (i)Core-cuspproblem,(ii)Themissingsatellitesproblem

(iii)Too-Big-to-failproblem• 

•  Self-Interac?ngDarkmaLer(SIDM)asasoluDon(ontopofastrophysicalones)?

•  PART III:Right-Handed(50keVmass)neutrinoswithmassivevectorself-interacDonsasaconcreteSIDMmodel&consequencesforgalacDcstructure

Arguelles,NEM,Rueda,RuffiniJCAP1604(2016)no.04,038

NEM&PilaXsisPhys.Rev.D86(2012)124038

Anomalies, Kalb-Ramond Axions and Gravity Basic String-Inspired Effective Field theory

Page 5: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

•  PART I: Mechanism (beyond seesaw) for right-handed neutrino mass generation through Axion-Right-handed Neutrino Interactions

•  PART II – Astrophysical Implications: ΛCDMfitsverywellAstrophysicalDataforUniverseatLarge scales

•  BUT:@GALACTICSCALES,DWARFGALAXIES)–DISCREPANCYbetweenΛCDM-basedsimula?onsandobserva?ons–“small scale Cosmology crisis” – problems (i)Core-cuspproblem,(ii)Themissingsatellitesproblem

(iii)Too-Big-to-failproblem• 

•  Self-Interac?ngDarkmaLer(SIDM)asasoluDon(ontopofastrophysicalones)?

•  PART III:Right-Handed(50keVmass)neutrinoswithmassivevectorself-interacDonsasaconcreteSIDMmodel&consequencesforgalacDcstructure

Arguelles,NEM,Rueda,RuffiniJCAP1604(2016)no.04,038

NEM&PilaXsisPhys.Rev.D86(2012)124038

Page 6: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

•  PART I: Mechanism (beyond seesaw) for right-handed neutrino mass generation through Axion-Right-handed Neutrino Interactions

•  PART II – Astrophysical Implications: ΛCDMfitsverywellAstrophysicalDataforUniverseatLarge scales

•  BUT:@GALACTICSCALES,DWARFGALAXIES)–DISCREPANCYbetweenΛCDM-basedsimula?onsandobserva?ons–“small scale Cosmology crisis” – problems (i)Core-cuspproblem,(ii)Themissingsatellitesproblem

(iii)Too-Big-to-failproblem• 

•  Self-Interac?ngDarkmaLer(SIDM)asasoluDon(ontopofastrophysicalones)?

•  PART III:Right-Handed(50keVmass)neutrinoswithmassivevectorself-interacDonsasaconcreteSIDMmodel&consequencesforgalacDcstructure

Arguelles,NEM,Rueda,RuffiniJCAP1604(2016)no.04,038

NEM&PilaXsisPhys.Rev.D86(2012)124038

Willarguethat:(i)resoluDonofGalac?ccore-halostructureproblemsofΛCDMsimulaDonsvsobservaDons+core-cuspandotherproblemsofsmall-scalecosmology``crisis’’canbeprovidedbyself-interac?ngRight-handed(Majorana)neutrinoswithmasses,m,atleast 47 keV (ii)FromaparDclephysicsperspecDveofνMSM,withHiggsportalcommunica?ontostandardmodelsector,cosmologicalconstraintsimplymassesoflightestofRHneutrinos,m,at most 50 keV SocombinaDonofthese(diverse)constraintsimplynarrowwindow 47 keV c-2 ≤ m ≤ 50 keV c-2

Page 7: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

PART I Right-Handed Neutrino

Majorana Mass generation (beyond seesaw)

& the role of Axions...

Page 8: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

ANOMALOUS GENERATION OF RIGHT-HANDED MAJORANA NEUTRINO MASSES THROUGH TORSIONFUL QUANTUM GRAVITY UV complete string models ?

NEM&PilaXsis2012PRD86,124038arXiv:1209.6387

Page 9: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

MasslessGravita?onalmul?pletof(closed)strings:spin0scalar(dilaton)spin2tracelesssymemtricrank2tensor(graviton)spin1asn?symmetricrank2tensor

Bµ⌫ = �B⌫µ

EffecDvefieldtheories(lowenergyscaleE<<Ms)``gauge’’invariant

Bµ⌫ ! Bµ⌫ + @[µ✓(x)⌫]

Dependonlyonfieldstrength: Hµ⌫⇢ = @[µB⌫⇢]

Bianchi identity : @[�Hµ⌫⇢] = 0 ! d ?H = 0

String Theories with Antisymmetric Tensor Backgrounds

KALB-RAMOND FIELD

Page 10: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

ROLEOFH-FIELDASTORSION

EFFECTIVEGRAVITATIONALACTIONINSTRINGLOW-ENERGYLIMIT

4-DIMPART

Contorsion

)

Page 11: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

ROLEOFH-FIELDASTORSION–AXIONFIELD

EFFECTIVEGRAVITATIONALACTIONINSTRINGLOW-ENERGYLIMIT

4-DIMPART

IN 4-DIM DEFINE DUAL OF H AS : b(x)=Pseudoscalar

(Kalb-Ramond(KR)axion)

)

⇠ 1

2@µb @µb

Page 12: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

FERMIONSCOUPLETOH–TORSIONVIAGRAVITATIONALCOVARIANTDERIVATIVE

TORSIONFULCONNECTION,FIRST-ORDERFORMALISM

contorsion

Hcab

Kabc =1

2

⇣Tcab � Tabc � Tbca

Non-trivialcontribuDonstoBμ

Da = @a �i

4!bca�

bc

Page 13: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

FERMIONSCOUPLETOH–TORSIONVIAGRAVITATIONALCOVARIANTDERIVATIVE

TORSIONFULCONNECTION,FIRST-ORDERFORMALISM

contorsion

Hcab

Kabc =1

2

⇣Tcab � Tabc � Tbca

Non-trivialcontribuDonstoBμ

Bd ⇠ ✏abcdHbca

S 3Z

d

4x �

a�

5Ba

Page 14: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

FermionicFieldTheorieswithH-TorsionEFFECTIVEACTIONAFTERINTEGRATINGOUT

QUANTUMTORSIONFLUCTUATIONS

+standardDiractermswithouttorsion

Fermions:

Bianchi identity

conserved``torsion‘’charge

classical

Postulate conservation at quantum level by adding counterterms

Implement via constraint à lagrange multiplier in Path integral à b-field

Tabc ! Hcab = ✏cabd @db

Page 15: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

FermionicFieldTheorieswithH-TorsionEFFECTIVEACTIONAFTERINTEGRATINGOUT

QUANTUMTORSIONFLUCTUATIONS

+standardDiractermswithouttorsion

Fermions:

Bianchi identity

conserved``torsion‘’charge

classical

Postulate conservation at quantum level by adding counterterms

Implement via constraint à lagrange multiplier in Path integral à b-field

Tabc ! Hcab = ✏cabd @db

Page 16: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

?

Page 17: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

?

Page 18: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

par?alintegrate

?

Page 19: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

par?alintegrate

Use chiral anomaly equation (one-loop) in curved space-time:

Hence, effective action of torsion-full QED

?

?

Page 20: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

par?alintegrate

Use chiral anomaly equation (one-loop) in curved space-time:

Hence, effective action of torsion-full QED bRR̃� bF F̃

coupling

?

?

Page 21: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

FermionicFieldTheorieswithH-TorsionEFFECTIVEACTIONAFTERINTEGRATINGOUT

QUANTUMTORSIONFLUCTUATIONS

+

+StandardModeltermsforfermions

SHIFTSYMMETRYb(x)àb(x)+c

totalderivaDves

Page 22: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

ANOMALOUSMAJORANANEUTRINOMASSTERMSfromQUANTUMTORSION

OURSCENARIOBreaksuchshiAsymmetrybycouplingfirstb(x)toanotherpseudoscalarfieldsuchasQCDaxiona(x)(ore.g.otherstringaxions)

Mavromatos,PilafsisarXiv:1209.6387

Page 23: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

ANOMALOUSMAJORANANEUTRINOMASSTERMSfromQUANTUMTORSION

OURSCENARIOBreaksuchshiAsymmetrybycouplingfirstb(x)toanotherpseudoscalarfieldsuchasQCDaxiona(x)(ore.g.otherstringaxions)

Mavromatos,PilafsisarXiv:1209.6387

Page 24: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

ANOMALOUSMAJORANANEUTRINOMASSTERMSfromQUANTUMTORSION

OURSCENARIOBreaksuchshiAsymmetrybycouplingfirstb(x)toanotherpseudoscalarfieldsuchasQCDaxiona(x)(ore.g.otherstringaxions)

Yukawaright-handedneutrinofields

Mavromatos,PilafsisarXiv:1209.6387

Page 25: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Field redefinition

so, effective action becomes

musthaveotherwiseaxionfielda(x)appearsasaghostàcanonicallynormalisedkinePcterms

CHIRALITYCHANGE

Page 26: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

THREE-LOOPANOMALOUSFERMIONMASSTERMS

ONE-LOOP

CHIRALITYCHANGE

GRAVITONGRAVITON AXION

Λ=UVcutoff

Page 27: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

SOME NUMBERS

Page 28: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

SOME NUMBERS

INTERESTINGWARMDARKMATTER

REGIMEAppropriateHierarchyfortheothertwomassiveRight-handedneutrinosforLeptogenesis-Baryogenesis&DarkmaLerconstraintscanbearrangedbychoosingYukawacouplings

Page 29: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

SOME NUMBERS

INTERESTINGWARMDARKMATTER

REGIMEAppropriateHierarchyfortheothertwomassiveRight-handedneutrinosforLeptogenesis-Baryogenesis&DarkmaLerconstraintscanbearrangedbychoosingYukawacouplings

Maybe(discrete)symmetryreasons(cfLeontaris-Vlachosapproach)forcetwooftheheavierRHneutrinostobedegenerateàdictatepanernsfortheaxion-RH-neutrinoYukawacouplingsya

Page 30: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

FINITENESSOFTHEMASS

MULTI-AXION SCENARIOS (e.g. string axiverse)

posi?vemassspectrumforallaxions

simplifyingallmixingequals

Arvanitaki,Dimopoulosetal.

Page 31: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

MULTI-AXION SCENARIOS (e.g. string axiverse)

posi?vemassspectrumforallaxions

simplifyingallmixingequals

MR:UVfiniteforn=3@2-loopindependentofaxionmass

FINITENESSOFTHEMASS

Page 32: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

MULTI-AXION SCENARIOS (e.g. string axiverse)

posi?vemassspectrumforallaxions

simplifyingallmixingequals

MR:UVfiniteforn=3@2-loopindependentofaxionmass

FINITENESSOFTHEMASS

Three RH neutrinos Three axions Three generations

Page 33: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

PART II Implications for the Dark Sector-

Astro/Cosmological Phenomenology

Page 34: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

THEDARKSECTOROFTHEUNIVERSE

Active ν

ObservaPonsfrom:SupernovaeIaCMBBaryonAcousDcOscillaDonsGalaxySurveysStructureFormaDondataStrong&Weaklensing

68.3%]DarkEnergy%

26.8%]DarkManer

4.9%Atoms

http://www.cosmos.esa.int/web/planck/publications#Planck2015

Page 35: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

THEDARKSECTOROFTHEUNIVERSE

Active ν

ObservaPonsfrom:SupernovaeIaCMBBaryonAcousDcOscillaDonsGalaxySurveysStructureFormaDondataStrong&Weaklensing

68.3%]DarkEnergy%

26.8%]DarkManer

4.9%Atoms

http://www.cosmos.esa.int/web/planck/publications#Planck2015

Page 36: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

But.....therearesDllopenissueswith

theΛCDMframework@small(galac?c)scales

What are they? and what do

sterile neutrinos have to do with them???

Page 37: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

PART IIb

Small-scale Cosmology ``crisis’’

Collisionless ΛCDM - based N-body simulations

≠ galactic scale observations

especially Dwarf Galaxy structure

Page 38: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

The 3-Problems of�Galactic-Scale-Cosmology (GSC)

(i) The Core-Cusp problem (or cuspy-halo problem):

Nearlyallsimula?onsformdarkmanerhaloswhichhavecuspydarkmaYerdistribuDons,withthedensityincreasingsteeplyatsmallradii;onthecontrary,therotaPoncurvesofmostoftheobserveddwarfgalaxiesindicateflatcentraldensityprofiles("cores”).

B.Moore(1994)J.G.deBlok[arXiv:0910.3538]Se-HeonOhetal.,Astrophys.J.149(6),96(2015).

Page 39: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

The 3-Problems of�Galactic-Scale-Cosmology (GSC)

(ii) The missing satellite problem (or, dwarf galaxy problem)

Althoughthereseemtobeenoughobservednormal-sizedgalaxiestoaccountforsuchadistribuDon,thenumberofdwarfgalaxiesisordersofmagnitudelowerthanthatexpectedfromthesimula?ons.E.g.therewereobservedtobearound38dwarfgalaxiesintheLocalGroup,andonlyaround11orbiDngtheMilkyWay,yetonedarkmaLersimula?onpredictedaround500MilkyWaydwarfsatellites

B.Mooreetal.,Astrophys.J.524,L19(1999)A.Klypin,etal.,Astrophys.J.522,82(1999)E.PolisenskyandM.Ricot,PRD83,043506(2011)

simulated observed Mostmassivesubhaloes

Page 40: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

(ii) The missing satellite (dwarves) problem

v<40km/sec(M<1010M¤) discrepancyapparent

Page 41: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

The 3-Problems of�Galactic-Scale-Cosmology (GSC)

simulated observed Mostmassivesubhaloes

(iii) The Too-Big-to-Fail Problem

ΛCDMsimulaDonspredictthatthemostmassivesubhaloesoftheMilkyWayaretoodensetohostanyofitsbrightestsatellites,withluminosityhigherthan105theluminosityoftheSun.

(Modelsthatarebasedonsimula?onspredictmuchlargerrota?onalveloci?esthantheobservedones

Rota?onalveloci?esàmeasureofenclosedmassàΛCDMpredictedsatellitesaretoomassive(toobig).)

M.Boylan-Kolchin,J.S.Bullock&M.Kaplinghat,MNRAS415,L11(2011);ibid.422,1203(2012)

Central density of most massive subhaloes (left) too high to host dwarf galaxies of MW (right)

Page 42: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

(iii) The too-big-to-fail Problem

Con?nuouscurve:rota?oncurveoftypicallargestsub-halooftheMilkyWayassimulatedbycollisionlessΛCDM

Datapointspertaintoobservedcircularveloci?esofthelargestsubhaloesoftheMilkyWayattheirhalf-lightradii

M.Boylan-Kolchin,J.S.Bullock&M.Kaplinghat,MNRAS415,L11(2011);ibid.422,1203(2012)

Page 43: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Astrophysicalexplana?onsThe missing satellite problem: (i)Smallerhalosdoexistbutonlyafewofthemendupbecomingvisible(havenotbeenabletoanractenoughbaryonicmanertocreateavisibledwarf)(cfKeckobserva?ons(2007)ofeightnewlydiscoveredultrafaintMilkyWaydwarfsatellitesshowedthatsixwerealmostexclusivelycomposedofDM,around99.9%(withamass-to-lightraDoofabout1000))–Suchultra-faintdwarfssubstanDallyalleviatethediscrepancy,buttherearesDlldiscrepanciesbyafactorofaboutfourtoofewdwarvesoverasignicantrangeofmasses.(ii)Galaxyforma?oninlow-massdarkmanerhalosisstronglysuppressedaXerre-ioniza?onàsimulatedcircularvelocityfuncDonofCDMsubhalosinapproximateagreementwiththeobservedcircularvelocityfuncDonofMilkyWaysatellitegalaxies.(iii)  Dwarvestendtobemergedintoor?dallystrippedapartbylargergalaxiesdueto

complexinteracDons.ThisDdalstrippinghasbeenpartoftheprobleminidenDfyingdwarfgalaxiesinfirstplace,whichisdifficultduetotheirlowsurfacebrightnessandhighdiffusionsothattheyarevirtuallyunno?ceable.

Towards a Solution of the 3-Problems of�Galactic-Scale-Cosmology (GSC)

Page 44: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

(iv)(Baryonic)Feedbackplaysanimportantrole:complexprocessesbymeansofwhichstarformaDonandmaneraccreDonontoblackholesdepositenergyinthesurroundingenvironmentsofgalaxies

Astrophysicalexplana?ons

Varioustypesoffeedback:

RadiaPve:photoionizaDon,radiaDonpressure(stellar,orfromaccreDondiskofasupermassiveBH(AGN))Mechanical:supernovaeexplosions,cosmicrayexertedpressure

PossibletoexplainMissingsatelliteproblemwithBaryonic(notwellunderstood)physicsfeedback

Towards a Solution of the 3-Problems of�Galactic-Scale-Cosmology (GSC)

Page 45: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Towards a Solution of the 3-Problems of�Galactic-Scale-Cosmology (GSC)MicroscopicPhysicsexplana?onsneeded?

All of the above problems seem that cannot be entirely solved by conventional Astrophysics explanations – discrepancies still remain moreover: case by case studies

Page 46: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Towards a Solution of the 3-Problems of�Galactic-Scale-Cosmology (GSC)MicroscopicPhysicsexplana?onsneeded?

All of the above problems seem that cannot be entirely solved by conventional Astrophysics explanations – discrepancies still remain moreover: case by case studies

CHANGE THE ΛCDM à

Page 47: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Towards a Solution of the 3-Problems of�Galactic-Scale-Cosmology (GSC)

MicroscopicPhysicsexplana?onsAll of the above problems seem that cannot be entirely solved by conventional Astrophysics explanations – discrepancies still remain moreover: case by case studies

CHANGE THE ΛCDM à

(i)Exo?cmechanismsofEarlyUniverseimplysuppresseddensityfluctsatsubgalac?cscales(e.g.modelswithbrokenscaleinvarianceduringinfla?on,butsomewhatlackingclearmicroscopicmo?va?onfrompar?clephysics)

Kamionkowski,Liddleastro-ph/9911103;Yokohama,astro-ph/0009127;Zentner,Bullock,astro-ph/0205216;Ashoorioon,Krause,hep-th/0607001;Kobayashi,Takahashi,arXiv:1011.3988,...

Page 48: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Towards a Solution of the 3-Problems of�Galactic-Scale-Cosmology (GSC)

MicroscopicPhysicsexplana?onsAll of the above problems seem that cannot be entirely solved by conventional Astrophysics explanations – discrepancies still remain moreover: case by case studies

CHANGE THE ΛCDM à (ii) modify gravity models (no DM except neutrinos)a0≈1.2x10−10ms−2ModifiedGravita?onalaccelera?on@galac?cscales

Milgrom,Bekenstein(TeVeS)

simplestmodels

Page 49: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Towards a Solution of the 3-Problems of�Galactic-Scale-Cosmology (GSC)

MicroscopicPhysicsexplana?onsAll of the above problems seem that cannot be entirely solved by conventional Astrophysics explanations – discrepancies still remain moreover: case by case studies

CHANGE THE ΛCDM à (ii) modify gravity models (no DM except neutrinos)à  lensing problematic (bullet cluster or other merging galaxies, offer observational support for DM)

Milgrom,Bekenstein(TeVeS)

Page 50: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Towards a Solution of the 3-Problems of�Galactic-Scale-Cosmology (GSC)

MicroscopicPhysicsexplana?onsAll of the above problems seem that cannot be entirely solved by conventional Astrophysics explanations – discrepancies still remain moreover: case by case studies

CHANGE THE ΛCDM à (ii) modify gravity models (no DM except neutrinos)à  lensing problematic (bullet cluster or other merging galaxies, offer observational support for DM)

for our talk

Page 51: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Towards a Solution of the 3-Problems of�Galactic-Scale-Cosmology (GSC)

MicroscopicPhysicsexplana?onsAll of the above problems seem that cannot be entirely solved by conventional Astrophysics explanations – discrepancies still remain moreover: case by case studies

CHANGE THE ΛCDM à (ii) modify gravity models (no DM except neutrinos)à  lensing problematic (bullet cluster or other merging galaxies, offer observational support for DM)(iii) CHANGE the DM properties à include self interactions or assume more than one dominant species ... with non-trivial role in galactic structure

for our talk

Page 52: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Self-Interacting Dark Matter (SIDM)& small-scale Cosmology

Early pioneering works in implementing SIDM in N-body simulations

D.N.SpergelandP.J.Steinhardt,PRL84,3760(2000)

Figure of merit: (total) cross section per unit DM particle mass

σ/m

Early days:10GeVc-2≥m≥1MeVc-2inDMhaloeswithdensiDes

would imply observational effects in the inner haloes

Page 53: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Self-Interacting Dark Matter (SIDM)& small-scale Cosmology

SIDM

SIDM

ΛCDM

ΛCDM

LargeScaleStructure:roughlythesame

Individualgalaxies:morecored&sphericalinSIDMmodels

MRochaetal.MNRAS430,81(2013)

Page 54: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Self-Interacting Dark Matter (SIDM)& small-scale Cosmology

Early pioneering works in implementing SIDM in N-body simulations

D.N.SpergelandP.J.Steinhardt,PRL84,3760(2000)

Figure of merit: (total) cross section per unit DM particle mass

σ/m

Early days:10GeVc-2≥m≥1MeVc-2inDMhaloeswithdensiDes

would imply observational effects in the inner haloes

=1 barn/GeVconsistent withall current constraints ofGSC

Page 55: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism
Page 56: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism
Page 57: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Compare with typical WIMPs , cross section in e.g. in SUSY modelsσ/m ≈ 10-22 barn/GeV

Page 58: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Harvey,Massey,Kitching,Taylor,TitleyarXiv:1503.07675,Science

Page 59: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Self-Interacting Dark Matter (SIDM)& small-scale Cosmology

Harvey,Massey,Kitching,Taylor,TitleyarXiv:1503.07675,Science

Page 60: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

massivevectorVμexchange

χ=Right-handedneutrino

Arguelles,NEM,Ruffini,Rueda,JCAP(2016)

InRight-handedneutrinoWDM:(i)  massofO(50)keV,(ii)  self-interac?onsstrongerthantheweakforce,108GF(iii)massive~104keVexchangevectorisOKforcore-galaxystructure

Page 61: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

PART III Self-Interacting Right-Handed Neutrino Warm Dark matter

& galactic core-halo structures

Page 62: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

A concrete model for SIDM – Right-handed keV Neutrinos with vector interactions

Arguelles,NEM,Rueda,Ruffini,JCAP1604,038(2016)

•  Assume minimal extension of the Standard Model (non-supersymmetric) with right-handed neutrinos (RHN) self interacting via massive vector exchange interactions in the dark sector

•  Use models of particle physics, e.g. νMSM (Shaposhnikov et al.) with three RHN, but augment them with these self-interactions•  among the lightest of the RHN (quasi stable à DM) •  Consistency of the halo-core profile of dwarf galaxies in Milky Way or large Elliptical à mass of lightest RHN in O(10) keV (WDM) ß Cosmological constraints of νMSM Two different approaches yield similar range for WDM mass!

Page 63: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

A concrete model for SIDM – Right-handed keV Neutrinos with vector interactions

Arguelles,NEM,Rueda,Ruffini,JCAP1604,038(2016)

•  Assume minimal extension of the Standard Model (non-supersymmetric) with right-handed neutrinos (RHN) self interacting via massive vector exchange interactions in the dark sector

•  Use models of particle physics, e.g. νMSM (Shaposhnikov et al.) with three RHN, but augment them with these self-interactions•  among the lightest of the RHN (quasi stable à DM) •  Consistency of the halo-core profile of dwarf galaxies in Milky Way or large Elliptical à mass of lightest RHN in O(10) keV (WDM) ß Cosmological constraints of νMSM Two different approaches yield similar range for WDM mass!

Page 64: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

SMExtensionwithNextraright-handedneutrinos

Minkowski,Fukugita,Yanagida,Mohapatra,Senjanovic,Lazarides,Shafi,WeLerich,Sechter,Valle,Paschos,Hill,Luty,Vergados,deGouvea…,Liao,Nelson,Buchmuller,Anisimov,diBari…,Akhmedov,Rubakov,Smirnov,Davidson,Giudice,Notari,Raidal,RioLo,Strumia,PilaXsis,Underwood,Asaka,Blanchet,Shaposhnikov,Boyarski,Ruchayskiy…Hernandez,Giun?...

Page 65: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

SMExtensionwithNextraright-handedneutrinos

Right-handedMassiveMajorananeutrinos

Leptons L↵ =

✓⌫↵↵�

◆, ↵ = e, µ, ⌧

Page 66: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

SMExtensionwithNextraright-handedneutrinos

HiggsscalarSU(2)Dual:

Page 67: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

SMExtensionwithNextraright-handedneutrinos

YukawacouplingsMatrix(I=1,2,3)

Majoranaphases

Mixing

⌫MSM Asaka, Blanchet, Boyarski, Ruchayskiy, Shaposhnikov

Page 68: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

SMExtensionwithNextraright-handedneutrinos

YukawacouplingsMatrix(I=1,...N=2or3)

Modelwith2or3singletfermionsworkswellinreproducingBaryonAsymmetryandisconsistentwithExperimentalDataonneutrinooscillaDons

ModelwithN=3alsoworksfine,andinfactitallowsoneoftheMajoranafermionstoalmostdecouplefromtherestoftheSMfields,thusprovidingcandidatesforlight(keVregionofmass)sterileneutrinoDarkMaYer.

For Constraints (compiled ν oscillation data) on (light) sterile neutrinos cf.: Giunti, Hernandez , … N=1 excluded by data

Page 69: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

SMExtensionwithNextraright-handedneutrinos

YukawacouplingsMatrix(I=1,...N=2or3)

Modelwith2or3singletfermionsworkswellinreproducingBaryonAsymmetryandisconsistentwithExperimentalDataonneutrinooscillaDons

ModelwithN=3alsoworksfine,andinfactitallowsoneoftheMajoranafermionstoalmostdecouplefromtherestoftheSMfields,thusprovidingcandidatesforlight(keVregionofmass)sterileneutrinoDarkMaYer.

For Constraints (compiled ν oscillation data) on (light) sterile neutrinos cf.: Giunti, Hernandez , … N=1 excluded by data

⌫MSM Asaka, Blanchet, Boyarski, Ruchayskiy, Shaposhnikov

Page 70: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

SMExtensionwithNextraright-handedneutrinos

YukawacouplingsMatrix(N=2or3)

⌫MSM

Majoranamassesto(2or3)acDve(light)neutrinosviaseesaw

NB:UponSymmetryBreaking<Φ>=v≠0àDiracmassterm

Minkowski,Fugujita,Yanagida,Lazarides,Shafi,WeLerich,Sechter,Valle,Mohapatra,Senjanovic,...

Page 71: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

LightNeutrinoMassesthroughseesaw

massoflightestofNIbyagreementwithCosmologicaldata

Page 72: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

LightNeutrinoMassesthroughseesaw

NàHν

Fα1≈10-10àmν2≈10-3eV2

Page 73: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

νMSMBoyarski, Ruchayskiy, Shaposhnikov…

MODEL CONSISTENT WITH BBN, STRUCTURE FORMATION DATA IN THE UNIVERSE & ALL OTHER ASTROPHYSICAL CONSTRAINTS

NàHνγ

Page 74: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

νMSMBoyarski, Ruchayskiy, Shaposhnikov…

MODEL CONSISTENT WITH BBN, STRUCTURE FORMATION DATA IN THE UNIVERSE & ALL OTHER ASTROPHYSICAL CONSTRAINTS

NàHνγ

Μ1=Ο(10)keV

Page 75: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

More than one sterile neutrino needed to reproduce Observed oscillations

νMSM Boyarski, Ruchayskiy, Shaposhnikov…

Constraintsontwoheavydegeneratesingletneutrinos

N1 DM production estimation in Early Universe must take into account its interactions with N2,3 heavy neutrinos

Page 76: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

More than one sterile neutrino needed to reproduce Observed oscillations

νMSM Boyarski, Ruchayskiy, Shaposhnikov…

Constraintsontwoheavydegeneratesingletneutrinos

N1 DM production estimation in Early Universe must take into account its interactions with N2,3 heavy neutrinos

Increased CPV

PilaXsis,

Underwood

...

Page 77: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

LightNeutrinoMassesthroughseesaw

This talk:restrictmassofN1byagreementwithobservedgalac?ccore-halostructureinSIDMversionsofthemodel

Fα1≈10-10àmν2≈10-3eV2

Page 78: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

LightNeutrinoMassesthroughseesaw

This talk:restrictmassofN1byagreementwithobservedgalac?ccore-halostructureinSIDMversionsofthemodel

Fα1≈10-10àmν2≈10-3eV2

Ignore in front of strong self-interactions for our purposes

Page 79: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Right-handed keV Neutrinos with vector self-interactions & galactic structure

Arguelles,NEM,Rueda,Ruffini,JCAP1604,038(2016)

PlacetheνMSMincurvedspace?me

Classical fields (eqs of motion) satisfy detailed thermodynamic equilibrium conditionsin a galaxy at a temperature T < O(keV)

ν=ν(r)λ=λ(r)

Page 80: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Right-handed keV Neutrinos with vector self-interactions & galactic structure

PlacetheνMSMincurvedspace?meν=ν(r)λ=λ(r)

Classical fields (eqs of motion) satisfy detailed thermodynamic equilibrium conditionsin a galaxy at a temperature T < O(keV)

Arguelles,NEM,Rueda,Ruffini,JCAP1604,038(2016)

Page 81: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Measure of Strength of self Interactions

Right-handed keV Neutrinos with vector self-interactions & galactic structure

effec?veinterac?onsingalac?cmedium rm=core-halomatchingpoint=rc+δr

coreradius

Page 82: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Right-handed keV Neutrinos with vector self-interactions & galactic structure

sterileνmass

No solution for gravitational collapse

Page 83: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

47keVc-2≤m≤350keVc-2

Right-handed keV Neutrinos with vector self-interactions & galactic structure

sterileνmass

Allowed WDM mass range

Page 84: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

47keVc-2≤m≤50keVc-2

Right-handed keV Neutrinos with vector self-interactions & galactic structure

Ifmixingwithobservablesectorisnon zero (νΜSM)ànarrow windowof allowed WDM mass!

Page 85: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Noninterac?ngright-handedneutrinocasewithm=O(10)keV

Interactions make inner Core more compactand increase central degeneracycompared to non-interacting case

Arguelles,NEM,Rueda,Ruffini,

JCAP1604,038(2016)

Ruffini,Arguelles,Rueda,MNRAS(2015)

Page 86: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Noninterac?ngright-handedneutrinocasewithm=O(10)keV

Interactions make inner Core more compactand increase central degeneracycompared to non-interacting case

Arguelles,NEM,Rueda,Ruffini,

JCAP1604,038(2016)

Provide natural resolution of Core-Cusp Problembecause the density profiles based on fermionic (as RH neutrinos) phase-space distributions develop always anextended plateau on halo scales, resembling Burkert or cored Einasto profilesMoreover,astheright-handedneutrinoDMmassis`colder'byafewkeV(m≈47keVc-2)comparedtomostoftheWDMmodelsavailableintheliterature,ourmodeldoesnotsufferfromstandardWDMproblems,associatedwiththe`toowarm'natureofthepar?clesinvolved

Page 87: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

N-N Cross sections under massive vector exchange

(perturbation theory gV < 1 OK)

to resolve issues of small-scalecosmology crisis

Hiddensectorvectorinterac?ons->Muchstrongerthanweakinterac?onsinvisiblesector

Arguelles,NEM,Rueda,Ruffini,

JCAP1604,038(2016)

Page 88: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Conclusions-Outlook – so far •  AtgalacDcscalesΛCDMmodelsuffersfromdiscrepancieswithobservaDonsregardingthecore-cusp,missingsatellite,andtoobigtofailproblemsofsmall-scale Cosmology ``crisis’’ ...

•  Toremediethis,selfinterac?onsamongDMhavebeenintroducedwithrelaDvelystrongcrosssecDonsperunitdarkmanermassσ/m:

•  Wehaveconsideredtheroleofthelightestoftheright-handedneutrinosinνΜSMextensionsofthestandardmodel,andaddedappropriatelystrongvectorinterac?onsinthedarksectoramongtheneutrinosàincreaseinnerdegeneracyandinnercoreregionindwarfsatellitesoftheMilkyWayorLargeellipDcalgalaxiesForinteracDonstrengths108 GF,WDM mass = 47-50 keV,&vectormass<104 keV,wecanresolvethethreesmall-scaleCosmologyproblems.

•  TheRHneutrinoWDM,whichsolvescore-halostructureingalaxies,mayco-existwithotherCDMDMspeciesàsearchforitinpar?clephysicsandneutrinooscilla?onexperiments

Page 89: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Conclusions - Outlook•  AtgalacDcscalesΛCDMmodelsuffersfromdiscrepancieswithobservaDonsregardingthecore-cusp,missingsatellite,andtoobigtofailproblemsofsmall-scale Cosmology ``crisis’’ ...

•  Toremediethis,selfinterac?onsamongDMhavebeenintroducedwithrelaDvelystrongcrosssecDonsperunitdarkmanermassσ/m:

•  Wehaveconsideredtheroleofthelightestoftheright-handedneutrinosinνΜSMextensionsofthestandardmodel,andaddedappropriatelystrongvectorinterac?onsinthedarksectoramongtheneutrinosàincreaseinnerdegeneracyandinnercoreregionindwarfsatellitesoftheMilkyWayorLargeellipDcalgalaxiesForinteracDonstrengths108 GF,WDM mass = 47-50 keV,&vectormass<104 keV,wecanresolvethethreesmall-scaleCosmologyproblems.

•  TheRHneutrinoWDM,whichsolvescore-halostructureingalaxies,mayco-existwithotherCDMDMspeciesàsearchforitinpar?clephysicsandneutrinooscilla?onexperiments(egSHiP)...

Page 90: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

Conclusions - Outlook •  AtgalacDcscalesΛCDMmodelsuffersfromdiscrepancieswithobservaDonsregardingthecore-cusp,missingsatellite,andtoobigtofailproblemsofsmall-scale Cosmology ``crisis’’ ...

•  Toremediethis,selfinterac?onsamongDMhavebeenintroducedwithrelaDvelystrongcrosssecDonsperunitdarkmanermassσ/m:

•  Wehaveconsideredtheroleofthelightestoftheright-handedneutrinosinνΜSMextensionsofthestandardmodel,andaddedappropriatelystrongvectorinterac?onsinthedarksectoramongtheneutrinosàincreaseinnerdegeneracyandinnercoreregionindwarfsatellitesoftheMilkyWayorLargeellipDcalgalaxiesForinteracDonstrengths108 GF,WDM mass = 47-50 keV,&vectormass<104 keV,wecanresolvethethreesmall-scaleCosmologyproblems.

•  TheRHneutrinoWDM,whichsolvescore-halostructureingalaxies,mayco-existwithotherCDMDMspeciesàcouplingwithaxions may lead to Mass generation for Right Handed Neutrinos

Page 91: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

THANK YOU !

Page 92: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

SPARES

Page 93: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

DarkMatter

Rotational Curves of galaxies, gravitational lensing growth of structure

Baryon-onlyModels,withoutDarkManer

DARKMATTER(DM):CURRENTEVIDENCEArgumentsinFavourTYPESOFDM:hot,warm,coldASTROPHYSICALCONSTRAINTS(MODELINDEPENDENT)INDIRECTSEARCHES:collider(LHC&beyond)searchesphotons,neutrinos,maLer-an?maLerasymmetries(electron-positron,proton-an?proton)

Page 94: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

DarkMatter

Rotational Curves of galaxies, gravitational lensing growth of structure

DARKMATTER(DM):CURRENTEVIDENCEArgumentsinFavour

TYPESOFDM:hot,warm,coldASTROPHYSICALCONSTRAINTS(MODELINDEPENDENT)INDIRECTSEARCHES:collider(LHC&beyond)searchesphotons,neutrinos,maLer-an?maLerasymmetries(electron-positron,proton-an?proton)

X

Page 95: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

DarkMatter

Rotational Curves of galaxies, gravitational lensing growth of structure

DARKMATTER(DM):CURRENTEVIDENCEArgumentsinFavour

TYPESOFDM:hot,warm,coldASTROPHYSICALCONSTRAINTS(MODELINDEPENDENT)INDIRECTSEARCHES:collider(LHC&beyond)searchesphotons,neutrinos,maLer-an?maLerasymmetries(electron-positron,proton-an?proton)

X mWDM=10keV

DistribuDonofdarkhaloeswithmassM>

WMAP,PlanckColl2015

Yoshidaetal.astro-ph/0303622

Re-ionization of the Universe @ redshift z=20 numericalN-bodysimula?onsbasedonwarm&ΛCDMmodels

excludes Warm DMmWDM ≤ 10 keV !

Page 96: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

DarkMatter

Rotational Curves of galaxies, gravitational lensing growth of structure

Baryon-onlyModels,withoutDarkManer

DARKMATTER(DM):CURRENTEVIDENCEArgumentsinFavour

TYPESOFDM:hot,warm,coldASTROPHYSICALCONSTRAINTS(MODELINDEPENDENT)INDIRECTSEARCHES:collider(LHC&beyond)searchesphotons,neutrinos,maLer-an?maLerasymmetries(electron-positron,proton-an?proton)

Compatible withall current data !m ≥ 100 keV 100 keV ≤ mWDM = mCDM

Page 97: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

THEORETICALSCENARIOSSUPERSYMMETRYneutralino

SUPERGRAVITYgraviPno(ifsufficientlylight)

AXIONS(standardQCDorstringy)

STERILENEUTRINOS...

DarkMatter

DARKMATTER(DM):CURRENTEVIDENCEArgumentsinFavourTYPESOFDM:hot,warm,coldASTROPHYSICALCONSTRAINTS(MODELINDEPENDENT)INDIRECTSEARCHES:collider(LHC&beyond)searchesphotons,neutrinos,maLer-an?maLerasymmetries(electron-positron,proton-an?proton)

Page 98: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

THEORETICALSCENARIOSSUPERSYMMETRYneutralino

SUPERGRAVITYgraviPno(ifsufficientlylight)

AXIONS(standardQCDorstringy)

STERILENEUTRINOS...

Theore?calModeldependenceinderivingboundsinexperimentalsearches

DarkMatter

DARKMATTER(DM):CURRENTEVIDENCEArgumentsinFavourTYPESOFDM:hot,warm,coldASTROPHYSICALCONSTRAINTS(MODELINDEPENDENT)INDIRECTSEARCHES:collider(LHC&beyond)searchesphotons,neutrinos,maLer-an?maLerasymmetries(electron-positron,proton-an?proton)

e.g. typical thermal WIMPsCMB-observations-compatible DM relic abundance occurs cross sections of weak-interactions type

``WIMP miracle’’

m� ⇠ O(100 GeV � TeV)

Page 99: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

σ/m≈10-22barn/GeV

Page 100: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

THEORETICALSCENARIOSSUPERSYMMETRYneutralino

SUPERGRAVITYgraviPno(ifsufficientlylight)

AXIONS(standardQCDorstringy)

STERILENEUTRINOS...

Theore?calModeldependenceinderivingboundsinexperimentalsearches

DarkMatter

DARKMATTER(DM):CURRENTEVIDENCEArgumentsinFavourTYPESOFDM:hot,warm,coldASTROPHYSICALCONSTRAINTS(MODELINDEPENDENT)INDIRECTSEARCHES:collider(LHC&beyond)searchesphotons,neutrinos,maLer-an?maLerasymmetries(electron-positron,proton-an?proton)

e.g. typical thermal WIMPsCMB-observations-compatible DM relic abundance occurs cross sections of weak-interactions type

``WIMP miracle’’

m� ⇠ O(100 GeV � TeV)

Page 101: Axions, Majorana Neutrino Masses and implications for the dark …cern_ch_01.pdf · 2017. 9. 18. · Workshop on the Standard Model and Beyond September 2 - 10, 2017 • PART I: Mechanism

THEORETICALSCENARIOSSUPERSYMMETRYneutralino

SUPERGRAVITYgraviPno(ifsufficientlylight)

AXIONS(standardQCDorstringy)

STERILENEUTRINOS...

Theore?calModeldependenceinderivingboundsinexperimentalsearches

DarkMatter

DARKMATTER(DM):CURRENTEVIDENCEArgumentsinFavourTYPESOFDM:hot,warm,coldASTROPHYSICALCONSTRAINTS(MODELINDEPENDENT)INDIRECTSEARCHES:collider(LHC&beyond)searchesphotons,neutrinos,maLer-an?maLerasymmetries(electron-positron,proton-an?proton)

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