DM Signatures generated by anomalies in hidden sectors

Transcription

1 DM Signatures generated by anomalies in hidden sectors ann Mambrini Laboratoire de Physique Théorique Orsay, Université Paris I E. Dudas, S. Pokorski,, A. Romagnoni GGI, Florence,, May 20 th 2010

2 Where is Orsay? Jussieu + (Benakli) APC ENS + (Binetruy) + (Fayet, Illiopoulos) IAP + (Bertone, Iocco) PARIS Polytechnique Saclay (Antoniadis,) (Cirelli Cirelli, Zaharijas) Orsay

3 Overview I) The DM puzzle II) Gamma ray lines signals III) Importance of Anomalies in Particle Physics IV) Anomalies cancelation mechanisms V) Gamma-ray lines generated by anomalies VI) FERMI analysis VII) Conclusions

4 Dark Matter Evidences CMB (WMAP) Galactic Scale SUS : neutralino, gravitino.. (N. Fornengo,, P. Ullio,, L. Covi) KK modes (Extra Dim.) (Servant, Tait) Extra U(1) boson (Arkani-Ahmed, Ahmed, T. Hambye) Sterile right handed neutrino (Shaposhnikov) Weak scale scalar (Gustafsson,, Tytgat)

5 ray lines (annihilation) SUS/KK [ ] Z, = 10-2 ( f ) f Inert Higgs Doublet [Gustafsson, Lundstrom, Bergstrom, Edsjo 07] Visible [Baek & Ko,, 08] [Bergstrom, Bringmann, Edsjo 08] Chiral Square [Bertone et al. 09] If m H0 < M W 3 visible lines f f Η 0 Η 0 B B h Z, No visible line 2 lines or line Z, B

6 ray lines (Decaying) Z T. Hambye 09 H G ~ ν K.. Choi,, C. Munoz 08 G. Bertone,, W. Buchmuller, L. Covi,, A. Ibarra 07

7 Anomalies in particle physics L Sym + δl quant quant Anomalies : quantum corrections destroy the symmetries of the classical theory If the symmetry is local, the gauge anomaly causes the loss of unitarity,, which is to say the consistency of the theory A mechanism of anomaly cancellation should be imposed to the model Example : leptophylic DM µ µ+ µ- µ µ L µ L δ ( ) 0 INDEPENDENT OF THE MASSES OF THE FERMIONS RUNNING IN THE LOOPS (decoupling theorem) µ L ν ρ

8 Solving the problem.. W W ~ s σ > 1 W W Lost of unitarity µ e e ν e q α(q e 3 Q q ) ρ + µ q q ν ρ Miracle!!

9 Explicit construction µ Heavy Fermions (Ψh) ν ρ U (1) µ Γ µνρ ν ρ Ψ ΨSM U(1) U (1) SM 0 L U (1) L + λ ε µνρσ F F µν ρσ + L + L3 Ψi i i Ψh 0 h D U (1) D SM Intersecting Branes µ µ +M d a µ + d λ µ µ a a - M λ µ (Stuckelberg Langrangian) +M d a µ

10 Anomalie cancellation : Green-Schwarz mechanism Anastopoulos,, Bianchi, Dudas, Kiritsis 06 Anastopoulos, Fucito, Lionetto, Pradisi, Racioppi, Stanev 08 L inv = F µν µν F µν L var = B a ε µνρσ µν (d µ a M µ ) 2 i Ψ h µ D µ Ψ h µνρσ F µν F ρσ ρσ + C ε µνρσ µ ν F ρσ ρσ Peccei-Quinn terms Chern-Simons terms ( ) δ L var = - δ µ Heavy Fermions (Ψh) ν ρ

11 Effective couplings : L eff = L loops + L var Z ν k 1 Z ν ν µ µ µ k 3 ρ k 2 Ζ ρ ρ + B 1 k 2ν 2ν ε µρστ k 2σ k 1τ Γ α µνρ µνρ = t α { A 1 ε µνρσ 1τ + B 2 k 1ν + C k 3µ /k 32 ε νρστ 3µ µνρσ k 2σ 1ν ε µρστ k 2σ k 1τ νρστ k 2σ k 1τ Peccei-Quinn µνρσ k 1σ 2ρ ε µνστ k 2σ k 1τ µνρσ (k 2σ k 1σ )} 2σ - A 2 ε µνρσ 1τ + B 3 k 2ρ 1τ + D εµνρσ Chern-Simons 1τ + B 4 ε µνστ µνστ k 2σ k 1τ δ L eff = 0 3 Ward identities + (k 1 ;k 2 ) symmetries -> the vertex can be express as function of B 2 B 1 = 1/Λ 2 With B 1, B 2 = computable loops integrals Cc : only 3 parameters : Λ [<S>] ; M [g ] ; M [ heavy ] [Kumar, Rajaraman, Wells 08] [M 09]

12 Interpretation as higher dimensional operators Antoniadis, Boyarski, Ruchavki,, Wells 09 Dudas, M, Pokorski, Romagnoni 09 L 1 = 1/M 2 *{b Tr[F F F ] + c ε µνρσ with µνρσ (D µ a) (D ν H) + F ρσ ρσ H }, ρσ D µ a = d µ a g A µ ; D ν = d ν ig ν i g A ν Masses suppression coming from the fermions which decouple after U (1) breaking Equivalent to the D Hoker-Farhi term {1/(H + H) ε µνρσ µνρσ (D a) (D µ ν H)+ F ρσ ρσ H} for SM Remark :if two Z are present, we can build an unsupressed operator, ε µνρσ µνρσ (D a µ 1 ) (D ν a 2 ) F ρσ ρσ

13 Dark matter: Annihilation channels Z Z Ζ Z M > M (natural) M < M (unatural) Z Ζ

14 LHC production W W W-W W fusion at LHC Z Z l l l l Kumar,Wells 08 Antoniadis Boyarski Ruchavski,, Wells 09

15 The relic density Λ (GeV) M Mdm=500 GeV 500 Mdm=200 GeV 100 Mdm=100 GeV Mx (GeV) /Λ 2 = B 2 -B 1 = g h *g2 /(8π 2 )* Tr[ 2 /M 2 heavy ]*Integral

16 Indirect detection: examples of spectrum 2 E *dn/de Mdm = 257 GeV Mz =558 GeV Ω = Z Ebin (GeV) Z Ζ E = M [1 (M Z /2M ) 2 ]

17 Indirect detection astro-parameters 35 + GC 20 Signal to noise ratio 12 time greater than GC Galactic Centered Annulus (Stoehr et al 2003, GLAST col. 2008) Independant of the Galactic profile J Ω ~ 10 Galprop conventional model for the background 5 years of data, signals at 5σ and 95% CL [FERMI estimates, Morselli et al. 08]

18 Observability 2 E *dn/de Flux (/sr/cm2/s) Λ = 1.2TeV Independant of Λ MSSM FERMI 5σ FERMI 95% Mdm = 257 GeV Mz =558 GeV Ω = Ebin (GeV) Z Mdm (GeV) 300 No excess with courent constraints (EGRET, HESS.. [Jacques, Bell 08] )

19 Consequences on Mx and Mchi Mx (GeV) % FERMI 5σ FERMI Λ x (TeV) Mdm=200 GeV Mdm=100 GeV Mdm=300 GeV 95% FERMI 5 σ FERMI 200 Λ = 1.2 TeV 1 HESS/COMPTON Excluded Mdm (GeV) Mx (GeV) Z LHC (Wells 08, Antoniadis 09 ) FERMI 10

20 An extension : Higgs in Space Jackson, Servant, Shaughnessz, Tait, Taoso 09 Top quark H

21 Direct detection Z q q

22 Mini-conclusions An (In)visible( Z can be quite visible Indirect detection could be THE ONL WA to observe it 1 ray line is a smoking gun signal distinguishing it clearly from other constructions Possibility to test up to 5TeV BSM scale at FERMI telescope