March 25, 2009 Probing SUGRA Models at the LHC 1 P P robing robing SUGRA SUGRA Models Models at the at the LHC LHC Teruki Kamon Teruki Kamon and Bhaskar Dutta and Bhaskar Dutta (full list of collaborators in the next page) (full list of collaborators in the next page) on on (1) Coannihilation, (2) Over-dense Dark Matter, (1) Coannihilation, (2) Over-dense Dark Matter, (3) Focus Point, (4) Non-universarity, (5) String (3) Focus Point, (4) Non-universarity, (5) String Model Model Mitchell Workshop on String Phenomenology and Related String Phenomenology and Related Topics, Topics, with Focus on LHC Opportunities and Dark Matter with Focus on LHC Opportunities and Dark Matter Cook’s Branch, TX, March 23 ~27, 2009 1
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March 25, 2009Probing SUGRA Models at the LHC1 Teruki Kamon and Bhaskar Dutta (full list of collaborators in the next page) on (1) Coannihilation, (2)
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March 25, 2009 Probing SUGRA Models at the LHC 1
PProbing robing SUGRA SUGRA Models Models at the at the LHCLHC
Teruki KamonTeruki Kamon and Bhaskar Dutta and Bhaskar Dutta(full list of collaborators in the next page)(full list of collaborators in the next page)
onon
(1) Coannihilation, (2) Over-dense Dark Matter, (1) Coannihilation, (2) Over-dense Dark Matter,
(3) Focus Point, (4) Non-universarity, (5) String Model(3) Focus Point, (4) Non-universarity, (5) String Model
Mitchell Workshop on String Phenomenology and Related String Phenomenology and Related Topics, Topics,
with Focus on LHC Opportunities and Dark Matterwith Focus on LHC Opportunities and Dark MatterCook’s Branch, TX, March 23 ~27, 2009
1
CSI: LHCTHE SECOND SEASON
Collider Scene InvestigationGoal: Goal: Develop technique(s) to test minimal and non-minimal scenarios and extract h2 (standard and non-standard cosmology cases) at the LHC where a limited number of SUSY mass measurements are available.
So far 4 cases were studied or are So far 4 cases were studied or are being studiedbeing studied::Case 1: Coannihilation regionCase 2: Over-dense DM region (OdCDM ~ CDM /10)Case 3: Focus point regionCase 4: Non-universality
time?e.g., Quintessence – Scalar field dark energy
Teruki Kamon Probing SUGRA Models at the LHC 33
““Probe” MetricProbe” Metric
3 22eqnnvHn
dt
dn )( 3 22 SnnvHn
dt
dneq
Minimal SUGRA Non-minimal SUGRA
Teruki Kamon Probing SUGRA Models at the LHC 44
Identify Identify smoking-gun smoking-gun signal(s) and signal(s) and kinematical kinematical variables in a variables in a minimal minimal benchmark benchmark model.model.
Prepare Prepare kinematical kinematical templates by templates by changing one changing one mass at a mass at a time.time.
(a)(a)Measure SUSY Measure SUSY massesmasses
(b)(b)Determine the Determine the benchmark benchmark model model parametersparameters
non-non-minimaminimal l case(s)case(s)
01~
p
≟ 0.23(DarkSUSY)(DarkSUSY)
(ISAJET/PYTHIA+PGS4)(ISAJET/PYTHIA+PGS4)Teruki Kamon Probing SUGRA Models at the LHC 55
0.23 = 0.23
ApproachApproach
non-non-minimaminimal l case(s)case(s)
4 parameters + 1 sign
mSUGRA as Minimal ScenariomSUGRA as Minimal Scenario
(WMAP3) 12900940SM from deviation 3 :)2(1054)(1022
Note: These regions have large h2 if one just calculate based on standard cosmology. We put a factor of 0.1 for this non-standard cosmology.
Teruki Kamon Probing SUGRA Models at the LHC 2626
Case 2(b) : Stau and HiggsCase 2(b) : Stau and Higgs
1~
Lu~
01χ~
02χ~
g~
h
1χ~
m1/2=600, m0=440, tan=40, mtop=175
Re~
u
20.5%
13661252
494
376
249
462
114
46277%
Follow Case 2(a) and Case 1Follow Case 2(a) and Case 1
)tan(
)tan(
)(
)(
00214peak
00213peak )(
eff
0212peakeff
0211(2)peak
A,,m,mXM
A,,m,mXM
m,mXM
m,mXM
/
/b
/
/j
)tan(
)tan(
)(
)(
00214peak )(
eff
00213peak )(
eff
0212peakeff
0211point end
A,,m,mXM
A,,m,mXM
m,mXM
m,mXM
/bb
/b
/
/jbb
Teruki Kamon Probing SUGRA Models at the LHC 2727
Determining Determining hh22
Solved by inverting the following functions:
340tan
450
6600
23440
0
21
0
A
m
m
/
),tan,( 02/102
~01
AmmZh 1fb 500 L
%~h/h ~~ 19ΩΩ 2201
01
)tan(
)tan(
)(
)(
00214peak
00213peak )(
eff
0212peakeff
0211(2)peak
A,,m,mXM
A,,m,mXM
m,mXM
m,mXM
/
/b
/
/j
500 fb500 fb-1-1
b/c stau helps to determine tan accurately.Teruki Kamon Probing SUGRA Models at the LHC 2828
Case 2 SummaryCase 2 SummaryOver-dense Dark Matter Region:
OD-CDM ~ CDM /10
Implication at the LHC: Region where 2
0 decays to HiggsHiggsCDM /CDM ~ 150% (1000 fb-1)
Region where 20 decays to staustau and HiggsHiggs
CDM /CDM ~ 20% (500 fb-1)
Future Work: o More over-dense and under-dense cases?
Teruki Kamon Probing SUGRA Models at the LHC 2929
Case 3 : Focus Point Case 3 : Focus Point RegionRegion
Prospects at the LHCProspects at the LHC: A few mass measurements are available: 2nd and 3rd neutralinos, and gluino
Can we make a cosmological measurement?
g~
0i
~
q~ l~ Z
ZZ
Z
An image by Abram Krislock, October 18, 2008An image by Abram Krislock, October 18, 2008
Goals:Goals:1)New technique on h2
2)SUSY mass measurements (e.g., ATLAS) Can we improve?
m0, A0, , tan
m1/2, tan
Teruki Kamon Probing SUGRA Models at the LHC 3030
Ref: "Perspectives for the detection and measurement of Supersymmetry in the focus point region of mSUGRA models with the ATLAS detector at LHC," U. De Sanctis, T. Lari, S. Montesano, C. Troncon, arXiv:0704.2515v1 [hep-ex] (Eur.Phys.J.C52:743-758,2007)
0
0
0
0
2
1
0
scMssM
ccMcsM
scMccMM
ssMcsMM
WZWZ
WZWZ
WZWZ
WZWZ
~Μ
0
0
0
0
2
1
0
scMssM
ccMcsM
scMccMM
ssMcsMM
WZWZ
WZWZ
WZWZ
WZWZ
~Μ
A4x4 (m1/2, , tan)
g~M 01
02
21 ~~ MMD 01
03
31 ~~ MMD
Part 1 : New to Probe Part 1 : New to Probe hh22
)tan( 212
01
,,mZh /~
Teruki Kamon Probing SUGRA Models at the LHC 3131
DD2121 andand DD3232 andand tantan
DD2121//DD2121 DD3131//DD3131
ta
nta
n
// tan
tan
ta
nta
n
// tan
tan
// //
0g~g~ M/MassumingExample ( = 195, tan = 10):
%.D
D71
21
21
%.D
D11
31
31
%.M
M
g~
g~ 54
(1) D. Tovey, “Dark Matter Searches of ATLAS,” PPC 2007(2) H. Baer et al., “Precision Gluino Mass at the LHC in SUSY Models with Decoupled
LHC Goal: DLHC Goal: D2121 and D and D3232 at 1-2% and gluino mass at 5% at 1-2% and gluino mass at 5%
%.70
%~ 31tan
tan
%~h
h282
2
%.m
m65
1/2
1/2
Teruki Kamon Probing SUGRA Models at the LHC 3333
Part 2 : Can we improve the Part 2 : Can we improve the measurements?measurements? 12 ~Z~
EETTmissmiss > 150 GeV > 150 GeV
GeV) 50( )( TEjN
(GeV) )(M
2)( jN
total = 3.1 pb
OSDF
OSSF
GeV) 10( 2)( TpN
01
032 ~~
,
19%19%5.3%5.3%11%11% 10%10%
Teruki Kamon Probing SUGRA Models at the LHC 3434
1fb 500
(GeV) )( jjbM
))()(( 01
02 ~bWbW~ttg~
Simultaneous Detection of Simultaneous Detection of Neutralinos and Top(s)Neutralinos and Top(s)
1fb 300
Working on the gluino mass estimate …Working on the gluino mass estimate …
ETmiss + Dilepton + Jets
[1] N(N(ℓℓ) ) >> 2 2 pT > 10 GeV; || < 2.5
[2] EETTmissmiss > 150 GeV > 150 GeV
[3] Selection of Selection of WWjjjj pT(j) > 30 GeV; 0.4 < R(j,j) < 1.5M(jj) < 78 15 GeV
[4] Selection of Selection of ttWbWb pT(b) > 30 GeV0.4 < R(jj, b) < 2
(GeV) )(M
)OSDF(OSSF eee
Teruki Kamon Probing SUGRA Models at the LHC 3535
Case 4 : Non-U SUGRACase 4 : Non-U SUGRANature may not be so kind Nature may not be so kind …… Our studies have been done based on a minimal scenario (= mSUGRA). … … Let’s consider a non-minimal case (= non universality) and address “Can we make a cosmological measurement?”
An image by Abram Krislock, March18, 2009An image by Abram Krislock, March18, 2009
Steps:Steps:1)Start with over-abundance region in mSUGRA2)Reduce Higgs coupling parameter, , by increasing mHu, … Extra contributions to h2 More annihilation (less abundance) normal values of h2
3)Find smoking gun signals Technique to calculate h2
Teruki Kamon Probing SUGRA Models at the LHC 3636
Teruki Kamon Probing SUGRA Models at the LHC 37
Reference PointReference Point
h2=0.112
Teruki Kamon Probing SUGRA Modles at the LHC 38
Decays at Reference PointDecays at Reference Point
Teruki Kamon Probing SUGRA Models at the LHC 39
Extraction of Model Extraction of Model ParametersParameters
Work in Progress …Work in Progress …
CSI: LHCTHE SECOND SEASON
SummaryGoal: Goal: Develop technique(s) to test minimal and non-minimal scenarios and extract h2 (standard and non-standard cosmology cases) at the LHC where a limited number of SUSY mass measurements are available.
So far 4 cases were studied or are So far 4 cases were studied or are being studiedbeing studied::Case 1: Coannihilation regionCase 2: Over-dense DM region (OdCDM ~ CDM /10)Case 3: Focus point regionCase 4: Non-universality
Future:Future: Further improvements New cases … in progress
40Teruki Kamon Probing SUGRA Models at the LHC
OSOSLS MLS M Distribution Distribution
Clean peak even for low M
(GeV) visM
maxpeak MM
02~
M
g~M
Independent of thegluino masses!
Uncertainty Bands with 10 fb-1
Appendix 1Teruki Kamon Probing SUGRA Models at the LHC
OSOSLSLS Slope ( Slope (ppTTsoft soft ))
Uncertainty Bands with 10 fb-1
(GeV) g~M
Independent of the gluino masses!
)( ),( 01
01
02
21peak
~~~ M,MfslopeM,M,MfM Appendix 2Teruki Kamon Probing SUGRA Models at the LHC
MMjj Distribution Distribution
endpeak jj MM 2~
2~
2~
2~
~
02
01
02 11
M
M
M
MMM
qq
endj
1) M < Mendpoint; Jets with ET > 100 GeV; Mj masses for each jet
2) Choose the 2nd large value Peak value ~ True Value
Mj(GeV)
)( 01
02
3(2)peak
~~q~j M,M,MfML
)( ), ( 01
02
01
02
5(2)peak
24(2)peak
1 ~~q~j~~q~j M,M,M,MfMM,M,M,MfMLL
Appendix 3Teruki Kamon Probing SUGRA Models at the LHC
2200 DecayDecay Branching RatiosBranching Ratios
m1/2= 500 GeV, m0 = 470 GeV
m1/2= 600 GeV, m0 = 440 GeV
Teruki Kamon Probing SUGRA Models at the LHC Appendix 4
BACKUPsBACKUPs
1) Find smoking gun signal(s)
2) Determine as many SUSY masses as possible
3) Test with a minimal SUSY scenario see if we can extract the model parameters.
4) Calculate the dark matter relic density
5) Work on non-minimal caseTeruki Kamon Probing Supersymmetric Cosmology at the LHC