Dark matter with light mediators Mathias Garny Les Houches, 08.11.2013 QFT out of equilibrium and application to leptogenesis M. M. M¨ uller, A. Hohenegger, A. Kartavtsev, M. Lindner, B. Garbrecht Decaying/annihilating dark matter A. Ibarra, D. Tran, C. Weniger, A. de Simone, S. Vogl, M. Pato, W. Buchm¨ uller Cosmological perturbation theory T. Konstandin, D. Blas . . . Mathias Garny Dark matter with light mediators
WIMP Dark Matter Ω χ h 2 ' 0 . 1 pb · c / h σ v i Xenon100 1207.5988; LUX 1310.8214 Fermi 1310.0828 -39 -39 -39 10 10 10 Maximum Likelihood Combined XENON100 (2012) Bayesian DAMA/Na ] ] ] observed limit (90% CL) Median Expected 2 2 2 10 − 22 WIMP-Nucleon Cross Section [cm WIMP-Nucleon Cross Section [cm WIMP-Nucleon Cross Section [cm 10 10 10 -40 -40 -40 68% Containment Expected limit of this run: CoGeNT 1 expected 95% Containment ± σ DAMA/I ± 2 σ expected -41 -41 -41 10 − 23 10 10 10 SIMPLE (2012) h σ v i (cm 3 s − 1 ) XENON10 (2011) 2 ) CRESST-II (2012) 0 1 -42 -42 -42 P ( 2 10 10 10 U P 10 − 24 C O 2 ) 2 0 1 I I ( N - I P L I Z E -43 -43 -43 EDELWEISS (2011/12) 1 ) 10 10 10 2 0 1 10 − 25 0 0 ( N 1 CDMS (2010/11) N O X E 10 10 10 -44 -44 -44 10 − 26 τ + τ − 10 10 10 -45 -45 -45 10 1 10 2 10 3 6 7 8 910 6 7 8 910 6 7 8 910 20 20 20 30 30 30 40 50 40 50 40 50 100 100 100 200 200 200 300 400 300 400 300 400 1000 1000 1000 m DM (GeV) WIMP Mass [GeV/c WIMP Mass [GeV/c WIMP Mass [GeV/c 2 2 2 ] ] ] ∼ ~ ~ ~ 0 q q production; q → q χ 1 10 (GeV) (pb) [GeV] ~ ~ ~ 0 ~ ~ 800 ∼ ATLAS Preliminary pp → q q , q → q χ ; m( g )>>m( q ) 700 SUSY Observed limit ( ± 1 σ ) 1 theory σ σ Expected Limit ± 1 σ exp. 95% CL upper limit on 1 ∫ Expected limit ( ± 1 ) 0 ∼ χ exp LSP 700 m -1 L dt = 20.3 fb , s =8 TeV NLO+NLL 1 theory σ ± σ 600 -1 Observed limit (4.7 fb , 7 TeV) m -1 1 0-lepton combined Expected limit (4.7 fb -1 , 7 TeV) CMS, 11.7 fb , s = 8 TeV 600 500 500 400 -1 10 400 300 300 200 200 -2 10 100 100 0 10 -3 200 300 400 500 600 700 800 900 1000 1100 300 400 500 600 700 800 900 1000 m [GeV] m (GeV) ~ q squark CMS 1303.2985 ATLAS CONF-2013-047 Mathias Garny Dark matter with light mediators
Searches for spectral features in γ -rays Fermi LAT GC data 5 � 300 GeV Fermi coll. 1305.5597 (Bringmann, Huang, Ibarra, Vogl, Weniger 1203.1312; Weniger 1204.2797) H.E.S.S. CGH (bkg residual p ) 500 GeV-25 TeV H.E.S.S. coll. 1301.1173 -25 ) -25 10 -1 10 /s) s HESS Einasto 3.7 year R16 Einasto Profile 3 3 95% CL Limit (cm (95% CL) (cm Observed Upper Limit Fermi-LAT Einasto Expected Limit -26 10 Expected 68% Containment -26 10 Expected 95% Containment Weniger [20] Limit 10 -27 γ γ → χ χ v> 10 -27 σ -28 10 < γ γ v> σ < -28 10 -29 10 -30 10 -29 2 10 10 10 -2 -1 10 10 1 10 m (GeV) m (TeV) χ χ � v . 10 � 29 .. 10 � 26 cm 3 /s over the range 10 GeV - 10 TeV H.E.S.S. II, GAMMA-400, CTA / = 5 � 10 Bringmann, Calore, Vertongen, Weniger 1106.1874; Bergstrom, Bertone, Conrad, Farnier, Weniger 1207.6773; Aleksic, Rico, Martinez 1209.5589 Mathias Garny Dark matter with light mediators
Interplay of Dark Matter searches Interplay: full models (MSSM) or ‘simplified models‘ SM+ � (e ff . op./portals) or SM+ � + mediator ⌘ , . . . Mathias Garny Dark matter with light mediators
Interplay of Dark Matter searches Interplay: full models (MSSM) or ‘simplified models‘ SM+ � (e ff . op./portals) or SM+ � + mediator ⌘ , . . . Here: Majorana DM � , colored/charged t-channel mediator ⌘ p 2 g 0 Y ψ ) L = f ¯ � ⌘ , 2 q , ` , ( f susy = Mathias Garny Dark matter with light mediators
Interplay of Dark Matter searches Interplay: full models (MSSM) or ‘simplified models‘ SM+ � (e ff . op./portals) or SM+ � + mediator ⌘ , . . . Here: Majorana DM � , colored/charged t-channel mediator ⌘ p 2 g 0 Y ψ ) L = f ¯ � ⌘ , 2 q , ` , ( f susy = ∼ ~ ~ ~ 0 q q production; q → q χ 1 [GeV] 700 ATLAS Preliminary Observed limit ( 1 σ SUSY ) ± theory Expected limit ( 1 σ ) ∼ 1 ∫ ± 0 χ exp m -1 L dt = 20.3 fb , s =8 TeV 600 Observed limit (4.7 fb -1 , 7 TeV) 0-lepton combined Expected limit (4.7 fb -1 , 7 TeV) 500 400 300 200 100 200 300 400 500 600 700 800 900 1000 1100 m [GeV] ~ ATLAS-CONF-2013-047 q Di ffi cult for LHC when m χ ⇠ m ˜ q Nice complementarity to ID and DD Mathias Garny Dark matter with light mediators
Indirect detection 2 ! 2 annihilation ✓ m q " # ◆ 2 ◆ 4 ✓ m DM O ( v 0 ) O + O ( v 2 ) = � v χχ ! q ¯ O q m DM m η 2 ! 3 annihilation via FSR from nearly on-shell q (soft/collinear) Z 1 ↵ em dx 1 � x � v FSR log[4 m 2 DM (1 � x ) / m 2 q ] ⇥ � v χχ ! q ¯ ' χχ ! q ¯ q γ q ⇡ x 0 Mathias Garny Dark matter with light mediators
Indirect detection 2 ! 2 annihilation ✓ m q " # ◆ 2 ◆ 4 ✓ m DM O ( v 0 ) O + O ( v 2 ) = � v χχ ! q ¯ O q m DM m η 2 ! 3 annihilation via FSR from nearly on-shell q (soft/collinear) Z 1 ↵ em dx 1 � x � v FSR log[4 m 2 DM (1 � x ) / m 2 q ] ⇥ � v χχ ! q ¯ ' χχ ! q ¯ q γ q ⇡ x 0 2 ! 3 annihilation via VIB and FSR from o ff -shell q " # ◆ 4 ◆ 4 ✓ m DM ✓ m DM ↵ em � v VIB / FSR O ( v 0 ) O + O ( v 2 ) = O χχ ! q ¯ q γ ⇡ m η m η χ q χ q χ γ η η η γ γ ¯ χ χ q χ q ¯ Hard � spectrum peaked at 0 . 8 .. 0 . 95 · m DM (similar to � -line within LAT energy resolution) Bergstrom 89; Bergstrom, Bringmann, Edsjo 0710.3169 Mathias Garny Dark matter with light mediators
Constraints on spectral feature from χχ ! f ¯ f γ Spectral gamma-ray feature on top of smoothly varying background Optimized search region close to GC Fermi LAT GC data 40 � 300 GeV Bringmann, Huang, Ibarra, Vogl, Weniger 1203.1312 Mathias Garny Dark matter with light mediators
Constraints from electroweak/strong IB χχ ! f ¯ f V , V = W , Z , g MG, Ibarra, Vogl 1105.5367 1112.5155; cf. Ciafaloni et al 1104.2996; Bell et al 1104.3823; Asano et al 1112.5158 dN γ /dlnE 10 5 dN W /dlnE 10 4 m η 0 = m η ± dN Z /dlnE m 2 η 0 − m 2 η ± = v 2 dN W /dlnE EW 10 4 m 2 η 0 − m 2 η ± = 2 v 2 EW 10 3 dN i /dlnE dN W /dlnE 10 3 10 2 10 2 10 1 10 1 10 0 10 0 0 0.2 0.4 0.6 0.8 1 0 0.2 0.4 0.6 0.8 1 x = E/m DM x = E/m DM Antiprotons (PAMELA) and Secondary gamma rays (Fermi dwarf) DM coupling to quarks DM coupling to leptons 10 − 22 10 − 22 σ v ( χχ ! q ¯ qg ) σ v ( χχ ! µ ¯ ν W ) 10 − 23 10 − 23 MIN MIN ν W [cm 3 /sec] qg [cm 3 /sec] 10 − 24 10 − 24 MED MED 10 − 25 10 − 25 MAX h σ v i q ¯ h σ v i µ ¯ MAX 10 − 26 10 − 26 10 − 27 10 − 27 PAMELA ¯ p/p PAMELA ¯ p/p Einasto Einasto Fermi dwarf Fermi dwarf 10 − 28 10 − 28 10 2 10 3 10 4 10 2 10 3 10 4 m DM [GeV] m DM [GeV] Mathias Garny Dark matter with light mediators
Direct detection Scattering o ff Xe nuclei (XENON100), resonant enhancement Hisano, Ishiwata, Nagata 1110.3719; Drees, Nojiri 93; Jungman et al 95 χ χ η 1 � SI ( SD ) / [ m 2 η � ( m χ + m q ) 2 ] 4(2) q q 10 - 40 u - coupling m h ê m c = 1.1 f n ê f p = 0.6 10 - 41 SD = 0 s p , n 10 - 42 thermal relic SI @ cm 2 D antiprotons direct detection 10 - 43 s p 10 - 44 10 - 45 10 - 46 10 2 10 3 10 4 m c @ GeV D MG, Ibarra, Pato, Vogl 1207.1431 Mathias Garny Dark matter with light mediators
Direct detection Scattering o ff Xe nuclei (XENON100), resonant enhancement Hisano, Ishiwata, Nagata 1110.3719; Drees, Nojiri 93; Jungman et al 95 χ χ η 1 � SI ( SD ) / [ m 2 η � ( m χ + m q ) 2 ] 4(2) q q 10 - 40 u - coupling m h ê m c = 1.1 f n ê f p = 0.6 10 - 41 SD = 0 s p , n 10 - 42 thermal relic SI @ cm 2 D antiprotons direct detection 10 - 43 s p 10 - 44 10 - 45 10 - 46 10 2 10 3 10 4 m c @ GeV D MG, Ibarra, Pato, Vogl 1207.1431 Convert into constraints on Yukawa coupling f , using ↵ s ( m χ ), and conservative assumptions on nuclear uncertainties for DD, and then convert into upper limit on � v q ¯ q γ + 2 � v γγ Mathias Garny Dark matter with light mediators
Current constraints and prospects DM coupling to RH up-quark ( m η = 1 . 1 m χ ) 10 − 25 Fermi LAT GC H.E.S.S. 10 − 26 0 0 q γ + 2 h σ v i γγ [cm 3 / s] 4 - A s f M r a M w d A G i m r e F 10 − 27 CTA XENON100 10 − 28 LHC thermal prod. h σ v i q ¯ 10 − 29 η = ˜ XENON1T u R Einasto 10 − 30 100 1000 10000 m χ [GeV] MG, Ibarra, Pato, Vogl 1306.6342 spectral analysis of Fermi LAT GC and H.E.S.S. CGH data with IB( q ¯ q � )+line( �� ) Mathias Garny Dark matter with light mediators
ID vs DD vs LHC Exclusion/expected reach (95% C.L.) assuming thermal production DM coupling to RH up - quark H prospects L 10 1 CMS a T ê Razor + ISR non - pert. C M S Einasto mass splitting m h ê m c - 1 a T XENON100 10 0 CTA 100 50. 25. XENON1T ATLAS Monojet 10 - 1 h = squark 15. 25. 50. No thermal WIMP 10 - 2 10 2 10 3 10 4 m c @ GeV D MG, Ibarra, Pato, Vogl 1306.6342 ! LHC(13)? Mathias Garny Dark matter with light mediators
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