Shedding light on Dark Matter from accelerator physics

Shedding light on Dark Matter from accelerator physics 17/11/ 11. UL-Bruxelles. based on Y. Mambrini, B.Z., hep-ph/16.4819 JCAP 11 (2011) 023

Overview Introduction Experimental evidences DM interpretations Nature of couplings Motivation Discussion & Results LEP vs Tevatron fermionic DM scalar DM combined analysis (astro+accel) universal lepton coupling pure electron coupling words on LHC Conclusions

Dark Matter in a nutshell

Dark Matter in a nutshell WMAP data: Ω X h 2 = 0.1123 ± 0.0175 4.7% baryonic matter, 22% dark matter, 73% dark energy Boltzmann equation Ω X h 2 1 σv m2 X gx 4 WIMP miracle m X 0 GeV g g Weak σv 3 26 cm 3 /s. A priori requisites: weakly interacting, long-lived, neutral.

Dark excesses? (Acc. Exp., D.D ) CDF Collaboration [hep-ex/14.0699]

Dark excesses? (Acc. Exp., D.D) Many possibilities: Standard Model effect Stringy origin Technicolor 2-Higgs models etc hep-ph/11xx.xxx Sullivan et al, hep-ph/14.3790 Anchordoqui et al, hep-ph/14.2303 Eichten et al, hep-ph/14.0976 Chen et al, hep-ph/15.2870 Dark Matter interpretation e.g. Buckley et al, hep-ph/14.3145 dark Z-boson χ-nucleon scattering σ χ n 40 cm 2 (for m χ GeV) Hadrophilic coupling

Dark excesses? (Astro. Exp., D.D.) Fox et al, 19.4398/hep-ph

Dark excesses? (Astro. Fox Exp., et al, 19.4398/hep-ph D.D.) Tension in XENON and DAMA results electrophilic DM Bernabei et al, astro-ph/0712.0562 DAMA sensible also to electron recoil leptophilic Fox et al, hep-ph/0811.0399 hadrophilic Kopp et al, hep-ph/0907.3159

Dark excesses? (Astro. Exp. I.D.) γ-rays observed by Fermi - inner parsecs unexplained - leptophilic DM Hooper et al, hep-ph/.2752

Dark excesses? (Astro. Exp. I.D.) e + -flux, by PAMELA - electrophilic, µ philic, π philic,... Cholis et al, astro-ph/08.5344

Motivation (LEP vs. Tevatron) Fox et al, hep-ph/13.0240 c O V = ( χγ µχ)( lγ µ l) Λ 2 O S = ( χχ)( ll) Λ 2 O A = ( χγ µγ 5 χ)( lγ µ γ 5 l) Λ 2 O t = ( χl)( lχ) Λ 2

Motivation (LEP vs. Tevatron) Fox et al, hep-ph/13.0240 c Fox et al, hep-ph/13.0240 O V = ( χγ µχ)( lγ µ l) Λ 2 O S = ( χχ)( ll) Λ 2 O A = ( χγ µγ 5 χ)( lγ µ γ 5 l) Λ 2 O t = ( χl)( lχ) Λ 2

Motivation (LEP vs. Tevatron) σ 1 loop = 4α2 µ 2 p 18 2 π 3 Λ 4 [ l f(q2, m l ) ] 2 Fox et al, hep-ph/13.0240 c (σv) S = 1 1 m2 l (m 2 8πΛ 4 m 2 χ m 2 l )vrel 2 χ

Motivation (LEP vs. Tevatron) Fox et al, hep-ph/13.0240 σ 1 loop = 4α2 µ 2 p 18 2 π 3 Λ 4 [ l f(q2, m l ) ] 2 c Fox et al, hep-ph/13.0240 (σv) S = 1 1 m2 l (m 2 8πΛ 4 m 2 χ m 2 l )vrel 2 χ

Motivation (LEP vs. Tevatron) c Luminosity of 1 fb 1

Motivation (LEP vs. Tevatron) Luminosity of 1 fb 1 c Bai et al, hep-ph/05.3797 Bai et al, hep-ph/05.3797

Motivation (LEP vs. Tevatron)

The Models Effective scales: Operators: L V = i L S = i L A = i 1 gl Λ l Λ ; 1 gh Λ h Λ gl i ( l i γ µ l i )( χγ Λ 2 µ χ) + gh i i ( q i γ µ q i )( χγ Λ 2 µ χ) gl i ( l i l i )( χχ) + g Λ 2 h i i ( q i q i )( χχ) Λ 2 gl i ( l i γ µ γ 5 l i )( χγ Λ 2 µ γ 5 χ) + gh i i ( q i γ µ γ 5 q i )( χγ Λ 2 µ γ 5 χ) L t = gl i i ( l i χ)( χl i ) + g Λ 2 h i i ( q i χ)( χq i ) Λ 2 Models in lepton sector: A) Electrophilic couplings: gl e = g e, g i=µ,τ,ν i l = 0 B) Charged lepton couplings: g i=e,µ,τ l = g l, g i=ν i l = 0 C) Universal lepton couplings: g i=e,µ,τ,ν i l = g l Universality in hadronic couplings: g i=u,d,c,s,b,t h = g h.

Annihilation cross-sections dσ I dω = M I 2 s 2m 2 3 2m2 4 + (m2 3 m2 4 )2 s 64π 2 s s 4m 2 χ ; s 4m 4 χ + m 2 χv 2 σ J I v = g 2 l σi,l J v+c g2 h σi,h J v l=e,µ,τ,ν h=u,d,c,s,t,b J: operator type I: coupling type σ V,k v = 4g Λ ( 24(2m 2 χ + m 2 k) + 8m4 χ 4m 2 χm 2 k + ) 5m4 k m 2 χ m 2 v 2 l σ S,k v = 24g Λ (m 2 χ m 2 k)v 2 ( σ A,k v = 4g Λ 24m 2 k + 8m4 χ 22m 2 χm 2 k + ) 17m4 k m 2 χ m 2 v 2 k g Λ = 1 m 2 k /m 2 χ 192πΛ 4

Idea and example Requiring σ max l v + σh max v 3 26 cm 3 s 1 2.5 9 GeV 2 assume e.g. m χ 5 GeV, in a model with only electronic coupling and vector-like interaction: (Λ e ) min 480 GeV from LEP m χ >> m h, m l σ V v m2 χ πλ 4 + 3 m2 χ e πλ 4 h g h 16 g l = m2 χ πλ 4 e (1 + 3 g2 h gl 2 ) 2.5 9 94% ann. rate to hadrons

Numerical Results from LEP bounds: Vector Scalar Axial t Scalar 0 Vector Scalar Axial t Scalar 0 80 (%) Br h 80 60 40 20 Electronic couplings 0 0 5 15 20 m (GeV) χ Most-conservative: Universal-leptonic, vector Less-conservative: Electronic, scalar (%) Br h (%) Br h 60 40 20 Charged leptonic couplings 0 0 5 15 20 mχ (GeV) Vector Scalar Axial t Scalar 0 80 60 40 20 Universal leptonic couplings 0 0 5 15 20 m (GeV) χ

Combined analysis

Numerical Results: universal-leptonic, vector gh/ge 0 Vectorial coupling χ γµ χ f γµ f WMAP gh/ge 0 Vectorial coupling χ γµ χ f γµ f WMAP + LEP 1 1 1 1 2 3 0 5 15 20 gh/ge 0 1 Vectorial coupling χ γµ χ f γµ f Mdm (GeV) WMAP + LEP + TEVATRON 2 3 0 5 15 20 gh/ge 0 1 Vectorial coupling χ γµ χ f γµ f Mdm (GeV) 1 1 WMAP + LEP + TEVATRON + XENON0 2 2 3 0 5 15 20 Mdm (GeV) 3 0 5 15 20 Mdm (GeV)

Numerical Results: electronic, scalar gh/ge 0 gh/ge 0 WMAP + TEVATRON Scalar coupling χ χ f f 1 1 WMAP + LEP Scalar coupling χ χ f f 1 1 Allowed 2 Allowed 2 3 0 5 15 20 Mdm (GeV) 3 0 5 15 20 Mdm (GeV)

Scalar Dark Matter L e = g e Λ S χχēe Madgraph analysis: same bckgr: e + e γν ν χ 2 -analysis signal+bckgr sim. Infer bounds for σs,e s v : σs,e s v ( 1 m2 e m 2 χ g 2 e 4πΛ 2 S Result: σ s S,e 24 cm 3 /s ) 3/2 + g 2 e 32πΛ 2 S v 2. No constraints from LEP, nor Tevatron Λ S ge σv 26 5TeV LHC? Events (for 650 pb -1 ) 450 400 350 300 250 200 150 0 50 0 scalar DM; scalar Op. m = GeV; S = 300 GeV signal + bckg data 0 20 40 60 80 0 E (GeV)

LHC (Fox et al. ph/19.4398)

Conclusions Nature of DM coupling is crucial to fit all present data We computed the rate of hadronic/leptonic coupling to respect: 1 LEP + Tevatron (mono-photon, mono-jet events) 2 WMAP + XENON0 A very light fermionic DM ( GeV) mainly excluded whatever the type of interaction Heavier candidates ( GeV) should be largely hadrophobic (vector int.) or even excluded (scalar int.) Models with electrophilic couplings (motivated by INTEGRAL, or Synchrotron radiation data) are excluded by LEP/Tevatron analysis Escaping conclusions: DM candidate not coupled to electrons (LEP bound not applicable) or hadronic coupling only to bottom or charm (Tevatron bound not applicable) Nothing to say for the moment for scalar DM.

merci beaucoup!

Back-up. Light-mediators

Back-up. High-energy completions