low scale gravity black holes at lhc
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Low scale gravity black holes Low scale gravity black holes at LHCat LHC
Enikő RegősEnikő Regős( CERN )( CERN )
Search for Extra DimensionsSearch for Extra Dimensions
LHC : Quantum Gravity & Extra DimsLHC : Quantum Gravity & Extra Dims Stringy Quantum Black HolesStringy Quantum Black Holes Low-scale Gravity Black Holes at LHCLow-scale Gravity Black Holes at LHC Comparison of Black Hole GeneratorsComparison of Black Hole Generators
ww
De Roeck Gamsizkan TrocsanyiDe Roeck Gamsizkan Trocsanyi
Quantum gravity and accelerator Quantum gravity and accelerator physicsphysics
Obtain limits from collider Obtain limits from collider experimentsexperiments
Graviton interference effects Graviton interference effects at Large Hadron Collider, at Large Hadron Collider, CERNCERN
Decay modes of particles Decay modes of particles with mass in TeV rangewith mass in TeV range
Hadron/lepton scatterings Hadron/lepton scatterings andand
decays in extra-dimensional decays in extra-dimensional modelsmodels
Black holes at LHC, CMSBlack holes at LHC, CMS
Limits from Limits from cosmology and cosmology and astrophysics: cosmic astrophysics: cosmic rays and supernovaerays and supernovae
Particle astrophysics Particle astrophysics Dark matterDark matter mass of particles, mass of particles, Ex:Ex: Axions Axions Evidence fromEvidence from observations for extra observations for extra
DD Quantum black holes: Quantum black holes:
energy spectrum, energy spectrum, depend on depend on parameters of space parameters of space times, stringstimes, strings
Cosmic rays and supernovae ;Cosmic rays and supernovae ;Cosmic rays : Nature’s free colliderCosmic rays : Nature’s free collider
SN cores emit large fluxes of KK gravitons producing a SN cores emit large fluxes of KK gravitons producing a cosmic background -> radiative decays : diffuse cosmic background -> radiative decays : diffuse γγ – ray – ray backgroundbackground
Cooling limit from SN 1987A neutrino burst -> bound on Cooling limit from SN 1987A neutrino burst -> bound on radius of extra dimensionsradius of extra dimensions
Cosmic neutrinos produce black holes, energy loss from Cosmic neutrinos produce black holes, energy loss from graviton mediated interactions cannot explain cosmic graviton mediated interactions cannot explain cosmic ray events above a limitray events above a limit
BH’s in observable collisions of elementary particles if BH’s in observable collisions of elementary particles if EDED
CR signals from mini BH’s in ED, evaporation of mini CR signals from mini BH’s in ED, evaporation of mini BHsBHs
Hierarchy problem & EDHierarchy problem & ED
Fundamental scales in nature :Fundamental scales in nature :
Planck mass : E19 GeVPlanck mass : E19 GeV
Electroweak scale : 240 GeVElectroweak scale : 240 GeV
Supersymmetry : fundamental theory at Supersymmetry : fundamental theory at M_Pl ,M_Pl ,
EW derived ( small #) from dynamicsEW derived ( small #) from dynamics
BrokenBroken ( particle mass ) : gravity mediated ( particle mass ) : gravity mediated
gravitino mass determines partner massesgravitino mass determines partner masses
EW breaking induced by radiative correctionsEW breaking induced by radiative corrections
Extra dimensionsExtra dimensions
EW scale fundamental, M_Pl derivedEW scale fundamental, M_Pl derived Compact ED ( radius R )Compact ED ( radius R ) Matter confined in 4DMatter confined in 4D Gravity : propagates in all D , Gravity : propagates in all D ,
weakweak : compact space dimensions : compact space dimensions large compared to electroweak large compared to electroweak scalescale
G = G_D / (2 G = G_D / (2 ππ R)^ (D-4) R)^ (D-4)
Black holes at LHCBlack holes at LHC
Event generator for ED BHs : BlackMax I-Event generator for ED BHs : BlackMax I-IIII
Rotation, fermion splitting, brane tensionRotation, fermion splitting, brane tension Experimental signatures, particle decayExperimental signatures, particle decay CMSSW analysisCMSSW analysis Comparison with Charybdis I-IIComparison with Charybdis I-II Further models of Dvali suggest Black Further models of Dvali suggest Black
Hole detection even more likelyHole detection even more likely
Distribution of black hole massDistribution of black hole mass
Rotating and non-rotating , 2 ED , 1-5 Rotating and non-rotating , 2 ED , 1-5 TeVTeV
Mass functionMass function
Log Log ΦΦ ~ M - M_min ~ M - M_min
for various models of for various models of
Planck mass, ED, Planck mass, ED, M_min,M_min,
rotation, brane tensionrotation, brane tension
Distribution of BH color (red – blue - Distribution of BH color (red – blue - green) green)
Rotating and non-rotating , 2 ED , 1-5 Rotating and non-rotating , 2 ED , 1-5 TeV TeV
Distribution of BH charge / 3q /Distribution of BH charge / 3q /
Rotating and non-rotating, 2 ED, 1-5 Rotating and non-rotating, 2 ED, 1-5 TeVTeV
< Energy > of emitted particles vs. BH < Energy > of emitted particles vs. BH massmass
Rotating and non-rotating, 2 ED, 5-14 Rotating and non-rotating, 2 ED, 5-14 TeVTeV
Number of emitted particles vs. BH Number of emitted particles vs. BH mass during Hawking phasemass during Hawking phase
Rotating and non-rotating, 2 ED, 5-14 Rotating and non-rotating, 2 ED, 5-14 TeVTeV
Number of emitted particles vs. # extra Number of emitted particles vs. # extra dimensions and # fermion splitting dimensions and # fermion splitting
dimensionsdimensions
rotating and non-rotatingrotating and non-rotating ED ED = 7= 7
Number of emitted particles / BH Number of emitted particles / BH vs. brane tension B vs. brane tension B
non-rotatingnon-rotating
ED = 2ED = 2
5-14 TeV5-14 TeV
Hawking phaseHawking phase
M_Pl = 1 TeVM_Pl = 1 TeV
Pseudorapidity with final burstPseudorapidity with final burst
Non-rotating and rotating , 2 ED , 1-5 Non-rotating and rotating , 2 ED , 1-5 TeV , quarks, anti-quarks, leptons, anti-TeV , quarks, anti-quarks, leptons, anti-leptonsleptons
Lepton transverse momentum : Lepton transverse momentum : models models
Planck massPlanck mass : 2 TeV : 2 TeV EDED = 3 = 3 5 – 14 TeV5 – 14 TeV Minimum black holeMinimum black hole mass (non-rot)mass (non-rot) Multiplicity decreases Multiplicity decreases
w Planck massw Planck mass Energy & momentum Energy & momentum
increaseincrease
Electrons/positrons, (anti)muons, Electrons/positrons, (anti)muons, photons : Transverse momentum & photons : Transverse momentum &
energy spectrumenergy spectrum
Pseudorapidity : e - Pseudorapidity : e - μμ - - γγ
Ratio of 0 < Ratio of 0 < ήή < 0.5 < 0.5 & 0.5 < & 0.5 < ήή < 1 < 1 distinguishes among distinguishes among
beyond standard beyond standard modelsmodels
All models and All models and
speciesspecies have values very have values very
different from QCDdifferent from QCD
Model comparisonsModel comparisons
Further models :Further models :
Planck mass : Planck mass :
2, 5 TeV2, 5 TeV
ED ED = 5, 3= 5, 3
Minimum mass :Minimum mass :
4, 7 TeV4, 7 TeV
Vs. Vs.
Standard ModelStandard Model
top quark top quark transv.transv.
momentum /GeVmomentum /GeV
Analysis at CMSAnalysis at CMS
Missing Transverse Energy : Missing Transverse Energy :
graviton + neutrino : model graviton + neutrino : model dependentdependent
Lepton transverse momentum :Lepton transverse momentum :
easy to identify, cuts off for Standard easy to identify, cuts off for Standard ModelModel
Combined cuts : Combined cuts : ήή , p_T distribution , p_T distribution
Model settings for detector which Model settings for detector which have different signaturehave different signature
Angular cut for detector acceptanceAngular cut for detector acceptance ήή_lepton < 2.5 Jets, q, W, Z < 5_lepton < 2.5 Jets, q, W, Z < 5 t, bt, b Implementation of generators in Implementation of generators in
CMSSWCMSSW Interface BlackMax IIInterface BlackMax II CMSSW : signal and SM backgroundCMSSW : signal and SM background
Comparison of BlackMax with Comparison of BlackMax with CharybdisCharybdis
BlackMax has higher multiplicity & BlackMax has higher multiplicity &
lower momentalower momenta Missing ET : Missing ET :
gravitons only in BlackMaxgravitons only in BlackMax
BlackMax-II : gravitons in final burst tooBlackMax-II : gravitons in final burst too
Higher METHigher MET
Apart from cross sections good agreementApart from cross sections good agreement
Yoshino – Rychkov suppression decreases Yoshino – Rychkov suppression decreases σσ
Multiplicity in BlackMax & CharybdisMultiplicity in BlackMax & Charybdis
Transverse momentum of emitted Transverse momentum of emitted electronselectrons
Transverse momentum of all particlesTransverse momentum of all particles
Spectrum of emitted electronsSpectrum of emitted electrons
Spectrum of emitted particlesSpectrum of emitted particles
Pseudorapidity of electronsPseudorapidity of electrons
Pseudorapidity of emitted particlesPseudorapidity of emitted particles
Missing Transverse Energy with Missing Transverse Energy with GravitonsGravitons
Further models to test at LHC :Further models to test at LHC :
BHs in Dvali model for SM copies :BHs in Dvali model for SM copies :
BH -> SM particle rates different,BH -> SM particle rates different,
difference in particle decaydifference in particle decay
non-integer extra dimensionnon-integer extra dimension
pT, MET pT, MET
Dark MatterDark Matter
Even more likely for BHs w ADD & finding Even more likely for BHs w ADD & finding themthem
Thank you for your Thank you for your attention !attention !
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