Probing mechanisms of at the LHC νββ 0
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Probing mechanisms of 0νββ at the LHC Steve Chun-Hay Kom Cavendish Laboratory, Cambridge kom@hep.phy.cam.ac.uk Warwick University 11 March 2010 Probing mechanisms of 0νββ at the LHC – p. 1 Outline Introduction Examples of 0νββ mechanisms Information from 0νββ experiments alone Complementary information from the LHC Single slepton production and 0νββ Allanach, CHK, Päs arXiv:0902.4697,0903.0347 Summary Probing mechanisms of 0νββ at the LHC – p. 2 What is 0νββ 2n → 2p + 2e− [(Z, A) (→ (Z + 1, A)∗ ) → (Z + 2, A)] Possible only in even-even nuclei, dominated by 0+ → 0+ 76 transition (e.g. 76 32 Ge →34 Se). 2n → 2p + 2e− + 2ν̄ always a background. Probing mechanisms of 0νββ at the LHC – p. 3 What is 0νββ 2n → 2p + 2e− [(Z, A) (→ (Z + 1, A)∗ ) → (Z + 2, A)] Possible only in even-even nuclei, dominated by 0+ → 0+ 76 transition (e.g. 76 32 Ge →34 Se). 2n → 2p + 2e− + 2ν̄ always a background. Lepton number violation (LNV): physics beyond the SM LNV → Majorana neutrinos → absolute neutrino mass scale → Majorana phases Other LNV physics responsible ? Probing mechanisms of 0νββ at the LHC – p. 3 What is 0νββ 2n → 2p + 2e− [(Z, A) (→ (Z + 1, A)∗ ) → (Z + 2, A)] Possible only in even-even nuclei, dominated by 0+ → 0+ 76 transition (e.g. 76 32 Ge →34 Se). 2n → 2p + 2e− + 2ν̄ always a background. Lepton number violation (LNV): physics beyond the SM LNV → Majorana neutrinos → absolute neutrino mass scale → Majorana phases Other LNV physics responsible ? 0νββ provides stringent limit to many (1st gen.) LNV processes. Probing mechanisms of 0νββ at the LHC – p. 3 Neutrino mass measurements Neutrino Oscillations: |∆m223 | ≃ 2.5 · 10−3 eV2 , sin2 (2θ23 ) > 0.9 SK,MINOS ∆m212 = 7.6 · 10−5 eV2 , tan2 (θ12 ) = 0.47 SNO,KamLAND Inverted hierarchy possible: m2,3 ∼ 0.05eV, m1 ∼ 0 Probing mechanisms of 0νββ at the LHC – p. 4 Neutrino mass measurements Neutrino Oscillations: |∆m223 | ≃ 2.5 · 10−3 eV2 , sin2 (2θ23 ) > 0.9 SK,MINOS ∆m212 = 7.6 · 10−5 eV2 , tan2 (θ12 ) = 0.47 SNO,KamLAND Inverted hierarchy possible: m2,3 ∼ 0.05eV, m1 ∼ 0 P 2 Absolute scale ? |mββ | = | i Uei mi |: 0νββ 76 ( Ge) > 1.9 · 1025 yr → |mββ | < 0.35eV Heidelberg-Moscow T1/2 (claimed observation |mββ | ∼ 0.5eV Klapdor-Kleingrothaus et. al. 01 ) T1/2 (130 Te) > 3.0 · 1024 yr → |mββ | < 0.19 − 0.68eV CUORICINO Probing mechanisms of 0νββ at the LHC – p. 4 Neutrino mass measurements Neutrino Oscillations: |∆m223 | ≃ 2.5 · 10−3 eV2 , sin2 (2θ23 ) > 0.9 SK,MINOS ∆m212 = 7.6 · 10−5 eV2 , tan2 (θ12 ) = 0.47 SNO,KamLAND Inverted hierarchy possible: m2,3 ∼ 0.05eV, m1 ∼ 0 P 2 Absolute scale ? |mββ | = | i Uei mi |: 0νββ 76 ( Ge) > 1.9 · 1025 yr → |mββ | < 0.35eV Heidelberg-Moscow T1/2 (claimed observation |mββ | ∼ 0.5eV Klapdor-Kleingrothaus et. al. 01 ) T1/2 (130 Te) > 3.0 · 1024 yr → |mββ | < 0.19 − 0.68eV CUORICINO Related mass bounds: P Cosmology i mi < (0.17 − 2.0)eV Tritium decay mνe < 2.2eV Seljak,Slosar,McDonald 06 Mainz,Troitsk 01 Probing mechanisms of 0νββ at the LHC – p. 4 Mechanisms of 0νββ Long range interactions Probing mechanisms of 0νββ at the LHC – p. 5 Mechanisms of 0νββ Long range interactions Light ν exchange between 2 point like vertices. Probing mechanisms of 0νββ at the LHC – p. 5 Mechanisms of 0νββ Long range interactions Light ν exchange between 2 point like vertices. X GF SM SM L = √ (jV −A JV −A + ǫN P jN P JN P ) 2 J = ūOβ d, j = ēOβ ν, β = V ± A, P S, T ... Probing mechanisms of 0νββ at the LHC – p. 5 Mechanisms of 0νββ Long range interactions Light ν exchange between 2 point like vertices. X GF SM SM L = √ (jV −A JV −A + ǫN P jN P JN P ) 2 J = ūOβ d, j = ēOβ ν, β = V ± A, P S, T ... d u ǫ e ν e ǫ d u Probing mechanisms of 0νββ at the LHC – p. 5 Mechanisms of 0νββ Long range interactions Light ν exchange between 2 point like vertices. X GF SM SM L = √ (jV −A JV −A + ǫN P jN P JN P ) 2 J = ūOβ d, j = ēOβ ν, β = V ± A, P S, T ... d u dL1 uL1 ǫ W e ν e.g. m∗ββ e ǫ d ν e1 e2 W u dL2 f, ∆Le =2 Lef (x) = EW G2F 2 h m c ē1 γµ (1 − γ5 ) qββ 2 γν e2 × h uL2 i µ ν J1, V −A (q)J2, V −A (−q) i Probing mechanisms of 0νββ at the LHC – p. 5 Examples LR symmetric Model Sbottom exchange in LNV SUSY 2 λ′∗ 131 mb̃ dc2 LR νe b̃LL λ′∗ 113 b̃RR uL2 uc1 dc1 WR eL2 ec1 νe = ν̄e eL1 eL2 Wµ dL1 uL1 ih h i ρ 1 c L ∝ ē1 γρ (1 − γ5 ) 6q e2 J1, V −A (q)J2, P S (−q) 1 2 + 18 i ih h µν ρ 1 c ē1 γρ (1 − γ5 ) 6q σµν e2 J1, V −A (q)J2, T (−q) dL2 WL uL2 h i γ·q c L ∝ ē1 γµ (1 + γ5 ) q2 γν e2 i h µ ν × J1, V +A (q)J2, V −A (−q) Probing mechanisms of 0νββ at the LHC – p. 6 Examples LR symmetric Model Sbottom exchange in LNV SUSY 2 λ′∗ 131 mb̃ dc2 LR νe b̃LL λ′∗ 113 b̃RR uL2 uc1 dc1 WR eL2 ec1 νe = ν̄e eL1 eL2 Wµ dL1 uL1 ih h i ρ 1 c L ∝ ē1 γρ (1 − γ5 ) 6q e2 J1, V −A (q)J2, P S (−q) 1 2 + 18 i ih h µν ρ 1 c ē1 γρ (1 − γ5 ) 6q σµν e2 J1, V −A (q)J2, T (−q) dL2 WL uL2 h i γ·q c L ∝ ē1 γµ (1 + γ5 ) q2 γν e2 i h µ ν × J1, V +A (q)J2, V −A (−q) (Scalar) lepto-quark contributions similar to sbottom exchange. WR -WR contributions ... Probing mechanisms of 0νββ at the LHC – p. 6 Mechanisms of 0νββ Short range interactions Probing mechanisms of 0νββ at the LHC – p. 7 Mechanisms of 0νββ Short range interactions Single point like interaction. d u e ǫ e d L u = G2F −1 X m ǫN P jN P JN P JN P 2 P Probing mechanisms of 0νββ at the LHC – p. 7 Mechanisms of 0νββ Short range interactions Single point like interaction. d u e ǫ e d L u = G2F −1 X m ǫN P jN P JN P JN P 2 P New physics (NP): LNV SUSY with gaugino exchange, [O(TeV)] heavy neutrinos... Probing mechanisms of 0νββ at the LHC – p. 7 From NP to rates Total rate (if dominated by one mechanism) Γ0νββ ∝ ǫ2 G0ν |M0ν |2 ǫ: LNV physics parameter, G0ν : precisely calculable phase space factor, M0ν : nuclear matrix elements (NMEs). Probing mechanisms of 0νββ at the LHC – p. 8 From NP to rates Total rate (if dominated by one mechanism) Γ0νββ ∝ ǫ2 G0ν |M0ν |2 ǫ: LNV physics parameter, G0ν : precisely calculable phase space factor, M0ν : nuclear matrix elements (NMEs). NME calculations known to be difficult. Various phenomenological approximations used. Some uncertainties difficult to quantify. A factor of 3 uncertainty believed to be reasonable. Probing mechanisms of 0νββ at the LHC – p. 8 From NP to rates Total rate (if dominated by one mechanism) Γ0νββ ∝ ǫ2 G0ν |M0ν |2 ǫ: LNV physics parameter, G0ν : precisely calculable phase space factor, M0ν : nuclear matrix elements (NMEs). NME calculations known to be difficult. Various phenomenological approximations used. Some uncertainties difficult to quantify. A factor of 3 uncertainty believed to be reasonable. Bottom line: take the numerical values with a grind of salt... Probing mechanisms of 0νββ at the LHC – p. 8 Distinguishing 0νββ mechanisms A single measurement of total rate cannot pin down underlying 0νββ mechanisms. Probing mechanisms of 0νββ at the LHC – p. 9 Distinguishing 0νββ mechanisms A single measurement of total rate cannot pin down underlying 0νββ mechanisms. Half life ratios of different isotopes Deppisch,Päs 06 , Gehman,Elliot 07 , Fogli,Lisi,Rotunno 09 Probing mechanisms of 0νββ at the LHC – p. 9 Distinguishing 0νββ mechanisms A single measurement of total rate cannot pin down underlying 0νββ mechanisms. Half life ratios of different isotopes Deppisch,Päs 06 , Gehman,Elliot 07 , Fogli,Lisi,Rotunno 09 Electron angular correlations Ali,Borisov,Zhuridov 07 Probing mechanisms of 0νββ at the LHC – p. 9 Distinguishing 0νββ mechanisms A single measurement of total rate cannot pin down underlying 0νββ mechanisms. Half life ratios of different isotopes Deppisch,Päs 06 , Gehman,Elliot 07 , Fogli,Lisi,Rotunno 09 Electron angular correlations Ali,Borisov,Zhuridov 07 Decay to excited states and other rare decays Faessler et.al. 94 Probing mechanisms of 0νββ at the LHC – p. 9 Distinguishing 0νββ mechanisms A single measurement of total rate cannot pin down underlying 0νββ mechanisms. Half life ratios of different isotopes Deppisch,Päs 06 , Gehman,Elliot 07 , Fogli,Lisi,Rotunno 09 Electron angular correlations Ali,Borisov,Zhuridov 07 Decay to excited states and other rare decays Faessler et.al. 94 LNV processes at the LHC ? Allanach,CHK,Päs 09 Probing mechanisms of 0νββ at the LHC – p. 9 Half life ratios of different isotopes Different mechanisms result in different NMEs. Probing mechanisms of 0νββ at the LHC – p. 10 Half life ratios of different isotopes Different mechanisms result in different NMEs. New physics parameters cancel in ratio. T1/2 (A X) 0νββ 76 T1/2 ( Ge) = |M (76 Ge)|2 G0ν (76 Ge) |M (A X)|2 G0ν (A X) Systematic uncertainties in NMEs tend to cancel. Probing mechanisms of 0νββ at the LHC – p. 10 Half life ratios of different isotopes Different mechanisms result in different NMEs. New physics parameters cancel in ratio. T1/2 (A X) 0νββ 76 T1/2 ( Ge) = |M (76 Ge)|2 G0ν (76 Ge) |M (A X)|2 G0ν (A X) Systematic uncertainties in NMEs tend to cancel. R(N P,mν ) (A X) = HRNP -RmΝ LRmΝ -80% -60% -40% -20% 0 20% (N P,mν ) A ( X) T1/2 (N P,mν ) 76 ( Ge) T1/2 82 100 SUSY sbottom Se R SUSYacc Mo R SUSY-g SUSY gluino R LR-ΗΗ LRSM v1 R LR-ΛΛ LRSM v2 R KK H10GeV-1L KK neutrinos 128 Te 130 Te 136 150 Xe Nd 465% 333% 300% Deppisch,Päes 06 Probing mechanisms of 0νββ at the LHC – p. 10 Half life ratios of different isotopes Different mechanisms result in different NMEs. New physics parameters cancel in ratio. T1/2 (A X) 0νββ 76 T1/2 ( Ge) = |M (76 Ge)|2 G0ν (76 Ge) |M (A X)|2 G0ν (A X) Systematic uncertainties in NMEs tend to cancel. R(N P,mν ) (A X) = HRNP -RmΝ LRmΝ -80% -60% -40% -20% 0 20% (N P,mν ) A ( X) T1/2 (N P,mν ) 76 ( Ge) T1/2 82 100 SUSY sbottom Se R SUSYacc Mo R SUSY-g SUSY gluino R LR-ΗΗ LRSM v1 R LR-ΛΛ LRSM v2 R KK H10GeV-1L KK neutrinos 128 Te 130 Te 136 150 Xe Nd 465% 333% 300% Deppisch,Päes 06 Many isotopes required. Probing mechanisms of 0νββ at the LHC – p. 10 Eletron angular correlations Different lepton current structure leads to different angular correlations dΓ dcosθ = Γ (1 − Kcosθ). 2 Probing mechanisms of 0νββ at the LHC – p. 11 Eletron angular correlations Different lepton current structure leads to different angular correlations dΓ dcosθ = Γ (1 − Kcosθ). 2 Only weakly dependent of NME models. Probing mechanisms of 0νββ at the LHC – p. 11 Eletron angular correlations Different lepton current structure leads to different angular correlations dΓ dcosθ = Γ (1 − Kcosθ). 2 Only weakly dependent of NME models. In mν mechanism, K ∼ 0.8 − 0.9 for a range of isotopes (76 Ge, 82 Se, 100 Mo, 130 Te, 136 Xe). Ali,Borisov,Zhuridov 07 For LR symmetric model, K ∼ −0.8. Deppisch,Jackson Probing mechanisms of 0νββ at the LHC – p. 11 Eletron angular correlations Different lepton current structure leads to different angular correlations dΓ dcosθ = Γ (1 − Kcosθ). 2 Only weakly dependent of NME models. In mν mechanism, K ∼ 0.8 − 0.9 for a range of isotopes (76 Ge, 82 Se, 100 Mo, 130 Te, 136 Xe). Ali,Borisov,Zhuridov 07 For LR symmetric model, K ∼ −0.8. Deppisch,Jackson E.g. SuperNEMO is sensitive to single electron kinematics. Probing mechanisms of 0νββ at the LHC – p. 11 0νββ at the LHC ? Many mechanisms could involve TeV scale particles, e.g. WR± , heavy neutrinos, lepto-quarks, SUSY particles... Probing mechanisms of 0νββ at the LHC – p. 12 0νββ at the LHC ? Many mechanisms could involve TeV scale particles, e.g. WR± , heavy neutrinos, lepto-quarks, SUSY particles... Finding these particles at the LHC is not enough. Need the LNV couplings ! Probing mechanisms of 0νββ at the LHC – p. 12 0νββ at the LHC ? Many mechanisms could involve TeV scale particles, e.g. WR± , heavy neutrinos, lepto-quarks, SUSY particles... Finding these particles at the LHC is not enough. Need the LNV couplings ! d u 0νββ ? ǫ e ν Hard process ? e Direct ǫ determination ? ǫ d u Probing mechanisms of 0νββ at the LHC – p. 12 0νββ at the LHC ? Many mechanisms could involve TeV scale particles, e.g. WR± , heavy neutrinos, lepto-quarks, SUSY particles... Finding these particles at the LHC is not enough. Need the LNV couplings ! d u 0νββ ? ǫ e ν Hard process ? e Direct ǫ determination ? ǫ d u Particularly suitable for short range interactions Focus on 0νββ in LNV SUSY and signals at the LHC. Allanach, CHK, Päs arXiv:0902.4697,0903.0347 Probing mechanisms of 0νββ at the LHC – p. 12 0νββ in LNV SUSY LNV SUSY contains superpotential term: W L ⊃ λ′111 L1 Q1 D1c → ⊃ λ′111 (l¯c q d˜c + ˜lq¯c dc + l¯c q̃dc ) + ... Probing mechanisms of 0νββ at the LHC – p. 13 0νββ in LNV SUSY LNV SUSY contains superpotential term: W L ⊃ λ′111 L1 Q1 D1c → ⊃ λ′111 (l¯c q d˜c + ˜lq¯c dc + l¯c q̃dc ) + ... Contribute to 0νββ via: Loop induced Majorana neutrino mass. dL uL W (md2∗ ˜ )LR νe λ′111 λ′111 m∗d m∗ββ νe dL ν W e e uL Probing mechanisms of 0νββ at the LHC – p. 13 0νββ in LNV SUSY LNV SUSY contains superpotential term: W L ⊃ λ′111 L1 Q1 D1c → ⊃ λ′111 (l¯c q d˜c + ˜lq¯c dc + l¯c q̃dc ) + ... Contribute to 0νββ via: Loop induced Majorana neutrino mass. dL uL W (md2∗ ˜ )LR νe λ′111 λ′111 m∗ββ νe m∗d dL ν W e e uL Also tree level mν via RG effect. Probing mechanisms of 0νββ at the LHC – p. 13 0νββ in LNV SUSY 2 Direct, short range mediation without intermediate neutrino, e.g. λ′∗ 111 dc e˜L mχ dc χ̃ e˜L λ′∗ 111 uL λ′∗ 111 dc uL e˜L eL eL mχ eL χ̃ λ′∗ 111 dc uL d˜R eL uL Probing mechanisms of 0νββ at the LHC – p. 14 0νββ in LNV SUSY 2 Direct, short range mediation without intermediate neutrino, e.g. λ′∗ 111 dc e˜L mχ e˜L dc f, ∆Le =2 Lef (x) ′ λ111 λ′111 ǫi χ̃ λ′∗ 111 = ∼ uL λ′∗ 111 dc uL e˜L eL eL mχ eL χ̃ λ′∗ 111 dc d˜R uL eL uL G2F −1 mp [ē(1 + γ5 )ec ] 2 » – 1 µν × (ǫg̃ + ǫχ )(JP S JP S − JT JT µν ) + (ǫχẽ + ǫ′g̃ + ǫχf˜)JP S JP S 4 λ′2 1 mP πα(S,W ) 111 G2F m(g̃,χ̃) m4 ˜ . (ũ,d,ẽ) Probing mechanisms of 0νββ at the LHC – p. 14 Single slepton production Infer the presence of non-zero λ′111 at the LHC ? YES: single selectron production. u e ẽL λ′111 d c u χ̃01 ũL λ′111 e dc Probing mechanisms of 0νββ at the LHC – p. 15 Single slepton production Infer the presence of non-zero λ′111 at the LHC ? YES: single selectron production. u e ẽL λ′111 d c u χ̃01 ũL λ′111 e dc Dimension 9 operators: λ′111 bound relaxes rapidly with increasing ΛSU SY . Probing mechanisms of 0νββ at the LHC – p. 15 Single slepton production Infer the presence of non-zero λ′111 at the LHC ? YES: single selectron production. u e ẽL λ′111 d c u χ̃01 ũL λ′111 e dc Dimension 9 operators: λ′111 bound relaxes rapidly with increasing ΛSU SY . 0νββ 76 ΛSU SY 2.5 ) . ( Ge) limit: λ′111 . 5 · 10−4 ( 100GeV Lower T1/2 Single slepton production: σ(pp → l̃) ∝ |λ′111 |2 /m3l̃ → production upper limit increases with ΛSU SY . Probing mechanisms of 0νββ at the LHC – p. 15 Single slepton production 2 Signal: Same sign (SS) di-electron, 2 jets, little E 6 T. Previous analysis on SS di-muon signals for λ′211 Dreiner,Richardson,Seymour 99 . SS di-electron signal for λ′111 believed to be mathsize due precisely to ‘stringent’ 0νββ bound !! To estimate ǫλ′111 , need also q̃, χ̃, g̃ masses. Assumed to be obtained from other channels Probing mechanisms of 0νββ at the LHC – p. 16 Model assumptions MSSM model parameters: Masses defined by mSUGRA input m0 , M1/2 , A0 = 0, tanβ = 10, sgn(µ) = +1. At SUSY scale, set λ′111 to be non-zero. Consider only regions with neutralino LSP. Probing mechanisms of 0νββ at the LHC – p. 17 Model assumptions MSSM model parameters: Masses defined by mSUGRA input m0 , M1/2 , A0 = 0, tanβ = 10, sgn(µ) = +1. At SUSY scale, set λ′111 to be non-zero. Consider only regions with neutralino LSP. NME model parameters (76 Ge): Pion and nucleon modes included. 4 5 ′ 1π + M 2π ) Mλ′111 = ǫMg̃2N + ǫ′ Mf2N ˜ + ǫ + 8ǫ (3M 1π Mg̃2N = 283, Mf2N = −18.2, M 2π = −601 ˜ = 13.2, M Hirsch,Klapdor-Kleingrothaus,Simkovic 96 , Faessler,Kovalenko,Simkovic 98 Probing mechanisms of 0νββ at the LHC – p. 17 Results 0νββ 76 ( Ge) from SS di-electron 5-σ signal Infer T1/2 at 10 fb−1 , 14 TeV (no mββ contribution): M1/2 /GeV 0νββ 76 ( Ge) 1 · 1027 yrs < T1/2 m0 /GeV 0νββ 76 ( Ge) < 1 · 1027 yrs 1.9 · 1025 < T1/2 0νββ 76 ( Ge) < 1.9 · 1025 yrs T1/2 Probing mechanisms of 0νββ at the LHC – p. 18 Results 0νββ 76 ( Ge) from SS di-electron 5-σ signal Infer T1/2 at 10 fb−1 , 14 TeV (no mββ contribution): 0νββ 76 ( Ge) 1 · 1027 yrs < T1/2 Sensitive to future 0νββ expts. 0.05 31 29 λ′111 M1/2 /GeV 0.02 0.01 27 0.005 25 0.002 23 200 m0 /GeV 0νββ 76 ( Ge) < 1 · 1027 yrs 1.9 · 1025 < T1/2 400 600 800 m0 /GeV (M1/2 = 300 + 0.6m0 ) LHC single slepton discovery limit 0νββ 76 ( Ge) < 1.9 · 1025 yrs T1/2 Probing mechanisms of 0νββ at the LHC – p. 18 Results 2 |mββ | = 0.05 eV p (∼ ∆m223 ) M1/2 /GeV Including Constructive interference Destructive interference m0 /GeV 0νββ 76 ( Ge) → dark Destructive interference with mββ increases T1/2 yellow region shrinks. 0νββ 76 ( Ge), destructive int. with mββ increases SSL rate → Fixing T1/2 better SSL discovery prospect. Probing mechanisms of 0νββ at the LHC – p. 19 Inference on mββ 700 700 600 600 500 500 |mββ| (meV) |mββ| (meV) Given 5σ SSL observation (M0 = 680GeV, M1/2 = 440GeV) 0νββ 76 ( Ge) = 1 · 1026 yrs if direct contribution only. → T1/2 400 300 200 100 |mββ| only 400 300 200 100 0 1.9e+25 1e+26 1e+27 0 1.9e+25 observed Ge half life (yrs) 1e+26 1e+27 observed Ge half life (yrs) Band of mββ depending on relative phase. Normal hierarchy possible if 0νββ observed. Probing mechanisms of 0νββ at the LHC – p. 20 Summary Probing mechanisms of 0νββ at the LHC – p. 21 Summary Discussed popular 0νββ mechanisms. Probing mechanisms of 0νββ at the LHC – p. 21 Summary Discussed popular 0νββ mechanisms. Half life ratios and electron correlations can distinguish 0νββ mechanisms. Probing mechanisms of 0νββ at the LHC – p. 21 Summary Discussed popular 0νββ mechanisms. Half life ratios and electron correlations can distinguish 0νββ mechanisms. LHC allows direct determination of LNV parameters in 0νββ. Probing mechanisms of 0νββ at the LHC – p. 21 Summary Discussed popular 0νββ mechanisms. Half life ratios and electron correlations can distinguish 0νββ mechanisms. LHC allows direct determination of LNV parameters in 0νββ. Discussed interplay between 0νββ and single slepton production at the LHC in LNV SUSY. Probing mechanisms of 0νββ at the LHC – p. 21 Summary Discussed popular 0νββ mechanisms. Half life ratios and electron correlations can distinguish 0νββ mechanisms. LHC allows direct determination of LNV parameters in 0νββ. Discussed interplay between 0νββ and single slepton production at the LHC in LNV SUSY. If 0νββ is discovered, single slepton production could test the λ′111 hypothesis. Probing mechanisms of 0νββ at the LHC – p. 21 Planned 0νββ experiments Need ∼ 1 ton of active isotopes to investigate the IH. An incomplete list of experiments here: CUORE(130 T e) 750kg, T eO2 bolometers Setup completion in 2012 GERDA(76 Ge) 18kg (Phase I), Ge detector Construction being completed 60kg (initial phase), Ge detector R&D 1-10 ton, TPC, Ba++ tagging EXO-200 run expected in 2009 100kg, track + calor. 1st module in 2011. Rest in 2012 MAJORANA(76 Ge) EXO(136 Xe) SuperNEMO(82 Se) Probing mechanisms of 0νββ at the LHC – p. 22 Thankyou Probing mechanisms of 0νββ at the LHC – p. 23 Probing mechanisms of 0νββ at the LHC – p. 24 0 0 Bd -B̄d mixing and 0νββ SM+New Physics Bd0 -B̄d0 mixing limit: hBd |M12 SM |B̄ i |B̄d i = ∆d hBd |M12 d excluded area has CL > 0.68 2 bc α b 1 λ′113 SM point Im ∆d ∆ md & ∆ ms λ′∗ 131 ν̃e 0 sin 2β; cos 2β>0 dc d -1 A SL (B ) & A (Bs ) d -2 CK M fitter ICHEP 08 -2 -1 λ′113 λ′131 SL New Physics in B -Bd mixing d 0 1 2 −8 ≤ 4.0 · 10 m2ν˜e (100GeV)2 3 Re ∆ d For 0νββ, λ′113 λ′131 . 2 · 10−8 ΛSU SY 100GeV 3 Bd0 -B̄d0 bound more stringent than 0νββ with high ΛSU SY , though with different SUSY mass dependence. Probing mechanisms of 0νββ at the LHC – p. 25 Nuclear structure model Examples of approximations used: Mean field theory, truncated single particle basis. Energy of states, interactions adjusted to reproduce data. Quenching of the axial vector coupling gA . Short range correlations included explicitly. QRPA: quasiboson approx., pairing parameter gpp adjusted... More advanced tools available in ‘simpler’ nuclear properties ... Probing mechanisms of 0νββ at the LHC – p. 26 Comparing ′ λ111 bounds M1/2 /GeV M1/2 /GeV 0νββ 76 ( Ge) from SS di-election 5-σ discovery reach at 10 Infer T1/2 fb−1 : m0 /GeV m0 /GeV 0νββ 76 1 · 1027 yrs < T1/2 ( Ge) 0νββ 76 1.9 · 1025 < T1/2 ( Ge) < 1 · 1027 yrs Probing mechanisms of 0νββ at the LHC – p. 27 LHC SS di-lepton cuts From Dreiner,Richardson,Seymour 99 Lepton |η| < 2.0. Lepton pT > 40 GeV. Isolation cut: ET < 5 GeV in cone R=0.4. Reject 65 < MT < 80 GeV. E 6 T < 20 GeV. OSSF lepton veto. No more than 2 jets, each with pT > 50 GeV. Probing mechanisms of 0νββ at the LHC – p. 28
