SUGRA odels at the LHC Bhaskar Dutta and Teruki Kamon Texas A& University PASCOS 9, DESY, Germany 9 th July 9 SUGRA odels at the LHC
SUSY at the LHC D (or l + l -, τ+τ High P T jet [mass differene is large] Colored partiles get produed and deay into weakly interating stable partiles High P T jet D The p T of jets and leptons depend on the spartile masses whih are given by models (or l + l -, τ+τ R-parity onserving The signal : jets + leptons + missing E T SUGRA odels at the LHC
This Talk Goal: Develop tehniques to test minimal and non-minimal senarios and extrat Ωh (standard and non-standard osmology ases at the LHC where a limited number of SUSY mass measurements are available. We start with the minimal model and then go to non-minimal ases 4 ases : Case : Coannihilation region Case : Over-dense D region (σ OdCD ~ σ CD /, σ : D annihilation ross-setion Case 3: FP /HB region Case 4: Non-universality in Higgs masses We use ISAJET+PGS4 for our alulation SUGRA odels at the LHC 3
Referenes dn dt ( 3Hn σ v n ( 3Hn σ v n n S( & φ n eq dn dt eq + [Case ] Coannihilation (CA Region Arnowitt,, Dutta, Gurrola, * Kamon, Krislok, * Tobak, PRL (8 38 For earlier studies, see Arnowitt et al., PLB 649 (7 73; Arnowitt et al., PLB 639 (6 46 [Case 3] Fous Point /HB Region Arnowitt,, Dutta, Flanagan, # Gurrola, * Kamon, Kolev, Krislok * D density an be diluted by a fator of [Case ] Over-dense Dark atter Region Dutta, Gurrola, * Kamon, Krislok, * Lahanas, avromatos, Nanopoulos PRD 79 (9 55 [Case 4] Non-universality Arnowitt,, Dutta, Kamon, Kolev, Krislok * [Case 5] String odel Dutta, Kamon, Leggett * SUGRA odels at the LHC * Graduate student, # REU student 4
msugra: : inimal Senario 4 parameters + sign tanβ m m A / sign( μ : H u / H :Sign of μ inw d at :Common gaugino mass at :Common salar mass at :Trilinear ouping at ( μ H u GUT H GUT d GUT Key experimental onstraints Jegerlehner, Nyffeler, arxiv:9.336 Higgs. ( g.94 > 4 GeV; 4 μ < Ω < B( b sγ < > 4 GeV 4.5 : ~ 3.σ deviation from S ~ χ h ~ χ ± <.9 (WAP 4 SUGRA odels at the LHC 5
Dark atter Allowed Regions tanβ 4 A, μ > 3 FP/HB Region m (GeV Over-dense D Region a b m / (GeV Exluded by Rare a B deay b sγ No b CD andidate 3uon magneti moment Coannihilation Region SUGRA odels at the LHC 6
( Ω CD Anatomy of σann Co-annihilation (CA ~ (CA Proess χ Griest, Sekel 9 + +. ~ τ α < σ annv > ~ ~ pb Δ +. Δ A near degeneray ours naturally for light stau in msugra. e / k T f ~ ~ τ χ SUGRA odels at the LHC 7
Smoking Gun of CA Region SUSY asses g~ χ~ χ~ (CD Typial deay hain and final states at the LHC u ~ L 97% % quarks+ τ s +missing energy u u τ ~ τ τ Unique kinematis SUGRA odels at the LHC Jets + τ s+ missing energy Low energy taus haraterize the CA region However, one needs to measure the model parameters to predit the dark matter ontent in this senario 8
CA Region: Final States SUSY asses g~ χ~ u ~ u L 97% ET jet > GeV p Tτ > 4 GeV u jττ & jτ χ~ (CD τ ~ τ τ Exesses in 3 Final States: ae T miss + 4j be T miss + j+τ E T miss + b +3j Kinematial variables Example of Analysis Chart for b: % p Tτ > GeV ττ & p T(τ ε τ 5%, f fake % for p T vis > GeV SUGRA odels at the LHC 9
pp g~ g ~ eff miss +4j a E miss T +4j eff E T j +E T j +E T j3 +E T j4 + E T miss [No b jets; ε b ~ 5%] e.g., E T j >, E T j,3,4 > 5 No e s, μ s with p T > GeV eff > 4 GeV; E T miss > max [,. eff ] m / 335 GeV eff peak GeV m / 35 GeV eff peak 74 GeV m / 365 GeV eff peak 33 GeV f ( g~,q ~ 6 L SUGRA odels at the LHC
E miss T +b+3j eff (b E T jb +E T j +E T j3 +E T j4 + E T miss [j b jet] E T j > GeV, E T j,3,4 > 5 GeV [No e s, μ s with p T > GeV] eff (b > 4 GeV ; E T miss > max [,. eff ] tanβ 48 eff (bpeak 933 GeV tanβ 4 eff (bpeak 6 GeV tanβ 3 eff (bpeak GeV Arbitrary Sale units eff (bpeak (GeV (b eff an be used to probe A and tanβ measuring stop and sbottom masses without SUGRA odels at the LHC
Determining msugra Parameters Solved by inverting the following funtions: peak jττ peak ττ peak eff ( b peak eff X X X X 3 4 ( m ( m ( m ( m / / / /, m, m, m, m,tan β, A,tan β, A fb - Ω χ m m / A tan β ± 35 ± 5 4 ± 6 4 ± ~ h A ( m, m/ tan β, L 5 fb fb δω h / Ω ~ ~ χ χ h 6.% (3 fb 4.% (7 fb SUGRA odels at the LHC
. Over-dense D Region A, tanβ 4 m Dilaton effet reates new parameter spae m / Lahanas, avromatos, Nanopoulos, PLB649:83-9,7. Smoking gun signals in the region? SUGRA odels at the LHC 3
Referene Points m / 44 GeV; m 47 GeV 86.8% m / 6 GeV; m 44 GeV 77.% SUGRA odels at the LHC 4
Case : Higgs m / 44, m 47, tanβ4, m top 75 g~ 4 u u ~ L 44 E miss T > 8 GeV; N(jet > with E T > GeV; E miss T + E j T + E j T > 6 GeV χ~ χ~ 34 8 3% 87% h 4 e ~ R 5 τ ~ 393 9 ± χ~ 46 N(b > with P T > GeV;.4< ΔR bb < SUGRA odels at the LHC 5
4 Kinematial Variables Side-band BG subtration end point jbb peak eff ( b peak eff ( bb peak eff X X X X 3 4 ( m ( m ( m ( m / / / /,m,m,m,m, tanβ, A, tanβ, A bb (GeV where: m / 4 5 fb ( m 47 w/ side-band BG subtration m / 48 eff E j T +E j T +E j3 T +E j4 T + E miss T [No b jets; ε b ~ 5%] (b eff E jb T +E j T +E j3 T +E j4 T + E miss T (bb eff E jb T +E jb T +E j3 T +E j4 T + E miss T ( bbj (GeV SUGRA odels at the LHC 6
Determining Ωh Solved by inverting the following funtions: end point jbb peak eff ( b peak eff ( bb peak eff X X X X 3 4 ( m ( m ( m ( m / / / /,m,m,m,m, tanβ, A, tanβ, A fb - m m / A tanβ 47 ± 5 44 ± 5 ± 95 39 ± 8 L fb Ω χ ~ h A ( m, m/ tan β, δω ~ h / Ω ~ h ~ 5% χ χ SUGRA odels at the LHC 7
Case 3 : Fous Point /HB m, A, μ, tanβ q ~ l ~ g~ Prospets at the LHC: A few mass measurements are available: nd and 3 rd neutralinos, and gluino ~χ i m /, μ, tanβ Goals: tehnique on Ωh SUSY mass measurements Can we determine the dark matter ontent? SUGRA odels at the LHC 8
μ μ β β β β β β β β χ s s s s s s s s W W W W W W W W Μ ~ μ μ β β β β β β β β χ s s s s s s s s W W W W W W W W Μ ~ A 4x4 (m /, μ, tanβ g ~ χ χ ~ ~ D 3 3 χ χ ~ ~ D Ωh tan ( β μ Ω χ,, m h / ~ SUGRA odels at the LHC 9 9
δd and δd 3 δμ and δ tanβ Example (μ 95, tanβ : assuming δ g ~ / g ~ δd /D δd 3 /D 3 δ tanβ / tanβ δ tanβ / tanβ arbitrary sale arbitrary sale arbitrary sale δd D δμ/μ Let s test this idea: 3 3 fb fb -. 7% δd D 3 3. % δμ/μ δ g ~ 4. 5% ( ( ( ( D. Tovey, Dark atter Searhes of ATLAS, PPC 7 ( H. Baer et al., Preision Gluino ass at the LHC in SUSY odels with Deoupled Salars, Phys. Rev. D75, 95 (7, reporting 8% with fb - g ~ SUGRA odels at the LHC
Ωh Determination δμ.7% μ δ tanβ ~ 3% tanβ δ m m / / 5. 6% δωh Ωh ~ 8% LHC Goal: D and D 3 at -% and gluino mass at 5% SUGRA odels at the LHC
Case 4 : Non-U U SUGRA Nature may not be so kind Our studies have been done based on a minimal senario ( msugra. Let s onsider a non-universal senario: Higgs nonuniversality: m Hu, m Hd m Steps: Redue Higgs oupling parameter, μ, by inreasing m Hu, ore annihilation (less abundane orret values of Ωh Find smoking gun signals Tehnique to alulate Ωh SUGRA odels at the LHC
Referene Point Ωh. SUGRA odels at the LHC 3
Deays at Referene Point Similarly, we have t, ttt, j, jtt+missing energy final states SUGRA odles at the LHC 4
Extration of odel Parameters SUGRA odels at the LHC 5
(jj E miss T > 8 GeV; N(J > with E T > GeV; E miss T + E J T + E J T > 6 GeV N(j i > with p T > GeV (j i j k SUGRA odels at the LHC 6
Data-driven (jj Extration Event Jets (jj (jj a, b, (a,b (a,(b, a. b (a, a, (a, b, (a, (b, a, (b, b, (b, 3 3a, 3b, 3, 3d (3a, a, (3a, b, (3b, a, (3b, b, (3, a, (3, b, (3d, a, (3d, b For eah j i in Event X, (j i j k is alulated with j k (a, b (3a, 3b, (3a, 3, (3a, 3d, (3b, 3, (3b, 3d, (3, 3d in Event X (jj > nnn GeV for normalization SUGRA odels at the LHC 7
(j (jj i j k (j i j k (j i j k (j i j k (j i j k (jj > GeV for normalization For eah j i in Event X, (j i j k is alulated with j k in Event X (j i j k The method seems to be reasonable for SUSY SUGRA odels at the LHC
Analysis Testing msugra and Extensions
End-points ± χ χ (jw [ ] 74.6 GeV (jw [ χ ± χ ] 77.3 GeV ± m [use t s sine χ ] (jw[ ± τ τ χ χ χ 3 ] 65.4 GeV [use sine χ χ] ± (jw [ ] 738.6 GeV χ 4 χ We have 3 (4 parameters in the hargino-neutralino system: m /, m, tanb (m,m, m, tanb We an use stop deay hain In this ase we use a b/t ~5 GeV Theory:738.8 (bw χ χ 3 Similarly, (t 338 GeV (jw ttt, jtt et an also be onstruted
Conlusion Signature ontains missing energy (R parity onserving many jets and leptons : Disovering SUSY should not be a problem! One SUSY is disovered, attempts will be made to measure the spartile masses (highly non trivial!, establish the model and make onnetion between partile physis and osmology Different osmologial motivated regions of the minimal SUGRA model have distint signatures. It is possible to determine model parameters and the reli density based on the LHC measurements Work is in progress to determine nonuniversal model Parameters, m H m ( + δ, m ( et. H m + δ ----looks promising SUGRA odels at the LHC
Bak-ups SUGRA odels at the LHC
Bak-ups SUGRA odels at the LHC
Bak-ups SUGRA odels at the LHC
Bak-ups SUGRA odels at the LHC