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Appendix A
Validation of Calculation Tools
Lepstop0Search for direct pair production of the top squarkin all hadronic final states in proton=proton collisions atradic
s=8 TeV with the ATLAS detector [32]
Simulated in Madgraph with p p gt t1 t1(t1 gt t n1)(t1 gt t n1) mt1=600 GeV mn1=1 GeVWhere t1 is the top squark and n1 is the neutralino of the MSSM
94
Table A1 0 Leptons in the final state
Cut RawMe Scaled ATLAS MeATLAS PercentNocuts 10000 460 460 100Emiss
T gt 130GeV 8574 395 451 88Leptonveto 6621 307 285 108Emiss
T gt 150GeV 6316 293 294 100Jet multiplicityand pT 1099 48 51 94|∆φ( jet pmiss
T )|gt π5 902 40 42 96gt= 2b jets 396 19 18 106τ veto 396 19 18 106mbmin
T gt 175GeV 270 13 13 105SRA1 79 4 4 104SRA2 70 3 3 93SRA3 67 3 3 97SRA4 52 2 2 91SRC exactly5 jets 1297 50 60 83SRC |∆φ( jet pmiss
T )|gt π5 1082 50 50 99SRC gt= 2b jets 430 20 20 97SRC τ veto 430 20 20 97SRC |∆φ(bb)|gt 02π 367 17 17 99SRC1 246 12 11 105SRC2 177 9 8 116SRC3 152 8 7 116
95
Lepstop1Search for direct top squark pair production infinal states with one isolated lepton jets and missing trans-verse momentum in
radics = 8 TeV pp collisions using 21 f bminus1
of ATLAS data[33]
Simulated in Madgraph with p p gt t1 t1(t1 gt t n1)(t1 gt t n1)(t1 gt b x+1 )(t1 gt b xminus1 )mt1=650 GeV mn1=1 GeV Where t1 is the top squark n1 is the neutralino xplusmn1 are thecharginos
96
Table A2 1 Lepton in the Final state
Cut RawMe Scaled ATLAS MeATLAS PercentNocuts 100000 99990 99990 100Electron(= 1signal) 11558 11557 11785 984 jets(80604025) 5187 5186 6271 83gt= 1btag 4998 4997 5389 93Emiss
T gt 100GeV [allSRs] 4131 4131 4393 94Emiss
T radic
HT gt 5 [allSRs] 4026 4026 4286 94∆φ( jet2 pmiss
T )gt 08 [allSRs] 3565 3565 3817 93∆φ( jet1Pmiss
T )gt 08 [not SRtN2] 3446 3446 3723 93Emiss
T gt 200GeV (SRtN2) 2027 2027 2186 93Emiss
T radic
HT gt 13(SRtN2) 1156 1156 1172 99mT gt 140GeV (SRtN2) 839 839 974 86Emiss
T gt 275GeV (SRtN3) 948 948 965 98Emiss
T radic
HT gt 11(SRtN3) 932 932 937 99mT gt 200GeV (SRtN3) 456 456 566 81Emiss
T gt 150GeV (SRbC1minusSRbC3) 2803 2803 3080 91Emiss
T radic
HT gt 7(SRbC1minusSRbC3) 2742 2742 3017 91mT gt 12GeV (SRbC1minusSRbC3) 1917 1917 2347 82Emiss
T gt 160GeV (SRbC2SRbC3) 1836 1836 2257 81Emiss
T radic
HT gt 8(SRbC2SRbC3) 1788 1788 2175 82me f f gt 550GeV (SRbC2) 1741 1741 2042 85me f f gt 700GeV (SRbC3) 1075 1075 1398 77Muon(= 1signal) 11379 11378 11975 954 jets(80604025) 5264 5263 6046 87gt= 1btag 5101 5100 5711 89Emiss
T gt 100GeV [allSRs] 4199 4199 4770 88Emiss
T radic
HT gt 5 [all SRs] 4115 4115 4653 88∆φ( jet2 pmiss
T )gt 08 [all SRs] 3622 3622 4077 89∆φ( jet1 pmiss
T )gt 08 [not SRtN2] 3515 3515 3970 89Emiss
T gt 200GeV (SRtN2) 2136 2136 2534 84Emiss
T radic
HT gt 13(SRtN2) 1261 1261 1441 87mT gt 140GeV (SRtN2) 928 928 1033 90Emiss
T gt 275GeV (SRtN3) 1036 1036 1274 81Emiss
T radic
HT gt 11(SRtN3) 1018 1018 1235 82mT gt 200GeV (SRtN3) 497 497 612 81Emiss
T gt 150GeV (SRbC1minusSRbC3) 2891 2891 3380 86Emiss
T radic
HT gt 7(SRbC1minusSRbC3) 2821 2821 3290 86mT gt 120GeV (SRbC1minusSRbC3) 1977 1977 2290 86Emiss
T gt 160GeV (SRbC2SRbC3) 1913 1913 2220 86Emiss
T radic
HT gt 8(SRbC2SRbC3) 1863 1863 2152 87me f f gt 550GeV (SRbC2) 1826 1826 2116 86me f f gt 700GeV (SRbC3) 1131 1131 1452 78
97
Lepstop2Search for direct top squark pair production infinal states with two leptons in
radics =8 TeV pp collisions using
20 f bminus1 of ATLAS data[83][34]
Simulated in Madgraph with p p gt t1 t1(t1 gt b w+ n1)(t1 gt b wminusn1) mt1=180 GeV mn1=60 GeV Where t1 is the top squark n1 is the neutralino b1 is the bottom squark
Table A3 2 Leptons in the final state
Cut RawMe Scaled ATLAS MeATLAS PercentNoCuts 100000 324308 199000 1632BaselineCuts 3593 11652 7203 1622SF Signal Leptons 1699 5510 5510 1002OSSF Signal Leptons 1632 5293 5233 101mll gt 20Gev 1553 5037 5028 100leadinglepton pT 1479 4797 5048 95|mll minusmZ|gt 20Gev 1015 3292 3484 94∆φmin gt 10 850 2757 2160 128∆φb lt 15 680 2205 1757 126SRM90 [SF ] 13 42 60 70SRM120 [SF ] 0 0 19 0SRM100 +2 jets [SF ] 0 0 17 0SRM110 +2 jets [SF ] 0 0 1 02DF Signal Leptons 1737 5633 7164 792OSDF Signal Leptons 1670 5416 5396 100mll20Gev 1587 5147 5136 100leadinglepton pT 1501 4868 4931 99∆φmin gt 10 1247 4044 3122 130∆φb lt 15 1010 3276 2558 128SRM90 [SF ] 21 68 95 72SRM120 [SF ] 0 0 23 0SRM100 +2 jets [SF ] 0 0 19 0SRM110 +2 jets [SF ] 0 0 14 0
98
2bstopSearch for direct third-generation squark pair pro-duction in final states with missing transverse momentumand two b-jets[31]
Simulated in Madgraph with p p gt b1 b1(b1 gt b n1)(b1 gt b n1)
SRAmb1=500 GeV mn1=1 GeV SRBmb1=350 GeV mn1=320 GeVWhere b1 is the bottom squark and n1 is the neutralino
Table A4 2b jets in the final state
Cut RawMe Scaled ATLAS MeATLAS PercentSRA Nocuts 100000 173800 1738 100SRA MET gt 80 93407 162341 1606 101SRA Leptonveto 93302 162159 1505 108SRA MET gt 150 79449 138082 1323 104SRA Jet selection 10213 17750 119 149SRA mbb gt 200 8344 14502 96 151SRA mCT gt 150 6535 11358 82 139SRA mCT gt 200 5175 8994 67 134SRA mCT gt 250 3793 6592 51 129SRA mCT gt 300 2487 4322 35 123SRB NoCuts 100000 1624100 16241 100SRB leptonveto 11489 186593 4069 46SRB MET gt 250 2530 41090 757 54SRB Jet selection 63 1023 79 130SRB HT 3 lt 50 51 828 52 159
99
CMSTop1LSearch for the Production of Dark Matter in As-sociation with Top Quark Pairs in the Single-lepton FinalState in pp collisions[41]
Simulated in Madgraph with p p gt t t p1 p1
Where p1= Majorana fermion Table 3 shows Signal efficiencies and cross sections TheM scale was read from Figure 7 for 90 CL
Table A5 Signal Efficiencies 90 CL on σ limexp[ f b] on pp gt tt +χχ
Mχ[GeV ] My Signal Efficiency Quoted Efficiency My σ [ f b] Quoted σ [ f b]1 102 101 63 47
10 132 101 62 4650 143 120 50 38100 170 146 56 32200 185 173 69 27600 265 240 32 19
1000 320 276 41 17
Appendix B
Branching ratio calculations for narrowwidth approximation
B1 Code obtained from decayspy in Madgraph
Br(S rarr bb) = (minus24λ2b m2
b +6λ2b m2
s
radicminus4m2
bm2S +m4
S)16πm3S
Br(S rarr tt) = (6λ2t m2
S minus24λ2t m2
t
radicm4
S minus4ms2m2t )16πm3
S
Br(S rarr τ+
τminus) = (2λ
2τ m2
S minus8λ2τ m2
τ
radicm4
S minus4m2Sm2
τ)16πm3S
Br(S rarr χχ) = (2λ2χm2
S
radicm4
S minus4m2Sm2
χ)32πm3S
(B1)
Where
mS is the mass of the scalar mediator
mχ is the mass of the Dark Matter particle
mb is the mass of the b quark
mt is the mass of the t quark
mτ is the mass of the τ lepton
The coupling constants λ follow the same pattern
- TITLE Collider Constraints applied to Simplified Models of Dark Matter fitted to the Fermi-LAT gamma ray excess using Bayesian Techniques
-
- Dedication
- Declaration
- Acknowledgements
- Contents
- List of Figures
- List of Tables
-
- Chapter 1 Introduction
- Chapter 2 Review of Physics
- Chapter 3 Fitting Models to the Observables
- Chapter 4 Calculation Tools
- Chapter 5 Majorana Model Results
- Chapter 6 Real Scalar Model Results
- Chapter 7 Real Vector Dark Matter Results
- Chapter 8 Conclusion
- Bibliography
- Appendix A Validation of Calculation Tools
- Appendix B Branching ratio calculations for narrow width approximation
-