The Inert Doublet Matter
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1 55 Zakopane, June The Inert Doublet Matter Maria Krawczyk University of Warsaw In coll. with I. Ginzburg, K. Kanishev, D.Sokolowska, B. Świeżewska, G. Gil, P.Chankowski, M. Matej, N. Darvishi, A. Ilnicka, T. Robens, L. Diaz-Cruz, C. Bonilla
2 M. Krawczyk, Zakopane Higgs-like particle with mass GeV observed by ATLAS+CMS (+Tevatron)
3 M. Krawczyk, Zakopane Production and decay of Higgs particle at LHC ~ SM main decays decay to γγ loop t,b,w
4 M. Krawczyk, Zakopane I. Ginzburg, P. Osland, MK GeV particle H What it is? H SM - Higgs boson of SM? h or H of CP-conserving 2HDM? other scalar particle? SM-like scenario observed: all measured H couplings are close to the SMprediction for absolute value negative tth negative ddh
5 M. Krawczyk, Zakopane Higgs Mass (ATLAS+CMS) Moriond 15 ZZ 4 l γ γ each exp. combined both channels then final combination
6 Higgs width (upper limit): ATLAS MeV SM ~ 4 MeV CMS - 22 MeV (95% CL) The off-shell production of WW, ZZ M. Krawczyk, Zakopane 2015 Anastopoulos 6
7 M. Krawczyk, 7
8 Plestina
9 Plestina
10 M. Krawczyk, Zakopane Invisible decay (Dark Matter) ATLAS BR < 0.27 (95% CL) CMS BR < 0.32 (95% CL)
11 Dark matter relic density Morsolli, Corfu 2014 WMAP PLANCK 3 sigma: M. Krawczyk, Zakopane
12 DM DATA? DM DM cm 2 direct exp. N N cm 2
13 M. Krawczyk, Zakopane Higgs portal with the SM-like h direct detection
14 Inert Doublet Model (IDM) - a model with two SU(2) doublets with an exact Z 2 symmetry (L & vacuum) Higgs and Dark Matter sectors in agreement with data M. Krawczyk, Zakopane
15 Inert Doublet Model (IDM) - a model with two SU(2) doublets with an exact Z 2 symmetry (L & vacuum) Various type of evolution of Universe from EWs to Inert phase possible in one, two or three steps, with 1 st or 2 nd order phase transitions (T2 evolution, Ginzburg et al..prd 2010) Strong enough first-order phase transition needed for baryogenesis (G. Gil Msc'2011, G.Gil, P.Chankowski, MK PL.B 2012) Metastability of vacua in IDM (B. Świeżewska 2015) IDM+complex singlet Bonilla,DiazCruz,Sokołowska,Darvishi,MK M. Krawczyk, Zakopane 2015
16 Brout-Englert-Higgs mechanism Spontaneous breaking of EW symmetry SU(2) x U(1)? Two Higgs Doublet Models Two doublets of SU(2) (Y=1, ρ =1) - Φ₁, Φ₂ Masses for W +/, Z, no mass for photon? Fermion masses via Yukawa interaction various models: Model I, II, III, IV,X,Y,... 5 scalars: H+ and H- and neutrals: - CP conservation: CP-even h, H & CP-odd A T.D. Lee CP violation: h 1,h 2,h 3 with undefinite CP parity* Sum rules for relative couplings to SM χ 16
17 M. Krawczyk, Zakopane HDM's SYMMETRIES!!! Branco,Rebelo,Ferreira Silva,Lavoura,Sher ʹ12 Haber, Gunion Ginzburg, MK, Ivanov Nachtmann, Maniatis, Pilaftsis, Pich Potential Yukawa Vacuum
18 Z 2 symmetric Lagrangian of 2HDM Potential V = Branco, Rebelo 85: CP conserved ½λ 1 (Φ₁ Φ₁)²+½λ₂(Φ₂ Φ₂)² - ½m²₁₁(Φ₁ Φ₁)- ½m²₂₂(Φ Φ₂) +λ₃(φ₁ Φ₁)(Φ₂ Φ₂)+λ₄(Φ₁ Φ₂)(Φ₂ Φ₁)+½[λ₅(Φ₁ Φ₂)²+h.c] λ 345 MK ;Gunion,Haber 04) Ginzburg, Z₂ symmetry transf.: Φ₁ Φ₁ Φ₂ - Φ₂ Yukawa interaction Model I one doublet Φ₁ couples to all fermions Vacuum state? Various possible M. Krawczyk, Zakopane
19 M. Krawczyk, Zakopane Extrema of the Z 2 symmetric potential Ginzburg, Kanishev, MK, Sokołowska'09 Finding extrema: V / Φ Φ = <Φ> = 0 for Φ 1,2 Finding minima global minimum (vacum) Positivity (stability) constraints (V with real parameters) Extremum fulfilling the positivity constraints with the lowest energy = vacuum
20 Extrema (vacua) Ma78,Velhinho,Santos,Barroso..94 Z 2 symmetry Φ₁ Φ₁, Φ₂ - Φ₂ notation: Φ 1 Φ S & Φ 2 Φ D (D symmetry) v S, v D, u - real v 2 =v S 2 +v D 2 +u u= EWs EWs v D =v S = 0 Inert I 1 v D = 0 Inert-like I 2 v S = 0 Mixed (Normal, MSSM like) M v D,v S u Charge Breaking CB v D =0 M. Krawczyk, Zakopane
21 Phase diagrams for D-sym. V coexistence of I 1 and I 2 minima Inert (I 1 ) vacuum here λ 345 < 0! for M h =125 GeV fixed 1 M. Krawczyk, Zakopane
22 M. Krawczyk, Zakopane Phase diagrams for D-sym. V Charged Breaking phase λ 3 < 0
23 M. Krawczyk, Zakopane Extrema vacua (v = 246 GeV)
24 Phase for TODAY 2HDM with an explicit D symmetry (ie. in Lagrangian L) Φ S Φ S Φ D - Φ D Charge breaking phase Ch? photon is massive, el.charge is not conserved... NO Neutral phases: Mixed M in agreement with data for Model I or II (Φ S, Φ D interact with fermions) D spont. broken Inert I1 OK! In agreement with accelerator and astrophysical data (neutral DM) (Model I - only Φ S interacts with fermions) D symmetry exact Inert-like I2 NO (fermions massless) M. Krawczyk, Zakopane
25 IDM: An Archetype for Dark Matter, Lopez Honorez,..Tytgat..07 LHC phenomenology (Barbieri., Ma , ) Inert Doublet Model Ma, '78 Barbieri..'06 Φ S as in SM (BEH) Φ D no vev Φ S = ϕ + V+h+i ζ 2 Higgs boson h (SM-like) Φ D = Η + H+i A (no Higgses!) 4 scalars H+,H-,H, Α no interaction with fermions D symmetry Φ S Φ S Φ D - Φ D exact D parity only Φ D has odd D-parity the lightest scalar stable - DM candidate (H) (Φ D dark doublet with dark scalars)
26 Masses SM-like Higgs scalar M 2 h = m 11 2 = λ 1 v 2 = 125 GeV Y = M H+ 2 2/v 2 Dark particles D λ 345 arbitrary, so if large negative H,H+,A heavy and degenerate H dark matter λ 5 <0
27 Testing Inert Doublet Model Theoretical constraints Detailed study of - the SM-like h Ma'2006,.Barbieri 2006, Dolle,Su, Gorczyca(Świeżewska), MSc T2011, , , Posch 2011, Arhrib..2012, Chang, Stal Study of dark scalars D - the dark scalars D in pairs! D couple to V = W/Z (eg. AZH, H W+H), not DVV! Quartic selfcouplings D 4 proportional to λ 2 Couplings with Higgs: hhh ~ λ 345 h H+H- ~ λ 3 M. Krawczyk, Zakopane
28 Confronting with data Constraints: vacuum stability, perturbative unitarity *condition for a specific vacuum* Data: EWPT (S and T) LEP, LHC and DM data Ma..2006,.. *B. Gorczyca( Świeżewska), Thesis2011, , , Posch..2011, Dolle, Su Arhrib..2012, Chang 2012 Inert Doublet Model: Higgs portal SM-like h H=DM M. Krawczyk, Zakopane 2015 New analysis A. Ilnicka, T. Robens. MK
29 IDM scan (B. Świeżewska 2012) H = dark matter 0 > λ 45 =λ 4 + λ 5 narrow (wide) range condition for Inert M. Krawczyk, Zakopane
30 Inert Doublet Model with M h =125 GeV m 222 = GeV 2 heavy H/H+ m 22 2 =0 No LHC valid up to m 222 = 10 4 GeV 2 M. Krawczyk, Zakopane
31 IDM vs DATA Many (scans) analyses of IDM theor. conditions (stability(positivity),pert.unitarity. condition for Inert vacuum ) STU parameters (some LEP data) LHC data: R γγ : sensitive to invisible decays (λ and M H ) H+ loop (λ 3 (sign!) ; if λ 3 <0 also λ 345 <0) enhancement only if λ 3 (λ 345 ) <0 Br inv < 20%; total Higgs h width < 22 MeV Dark matter exp: relic density (WMAP, PLANCK) direct detection (LUX) 31
32 signal strength μ narrow width approx. M. Krawczyk, Zakopane 2015 Swiezewska 32
33 B. Świeżewska M. Krawczyk, Zakopane
34 B. Świeżewska λ 3 M. Krawczyk, Zakopane
35 R γγ as a function of mass H, H + Invisible decays makes enhancement impossible Light H+ with proper sign of hh+h- coupling (λ 3 <0) makes enhancement possible R γγ(2sigma) narrow m 22 2 range 35
36 Invisible h decay coupling hhh M. Krawczyk, Zakopane
37 Relic DM density LHC data hep-ph/ JHEP 2013 R γγ > 1 possible DM mass only above 62.5 GeV allowed DM mass below 62.5 GeV allowed only if R γγ < 1 M. Krawczyk, Zakopane ±
38 Relic density constraints on masses and couplings of DM Coannihilation possible for small (AH) mass splitting M. Krawczyk, Zakopane
39 WMAP window for light H (DM) M. Krawczyk, Zakopane
40 Relic density for DM D. Sokołowska, 2013 with mass 64,,80 GeV above 76 GeV asymmetry due to annihilation to gauge bosons M. Krawczyk, Zakopane
41 Low mass H excluded by LHC! R γγ >0.7 M. Krawczyk, Zakopane 2015 Sokołowska/Świeżewska 41
42 M. Krawczyk, Zakopane
43 M. Krawczyk, Zakopane
44 Using PLANCK data M. Krawczyk, Zakopane
45 Direct detection comparison with LHC, Xenon 100 and LUX M. Krawczyk, Zakopane 2015 stronger than the dedicated DM experiments 45
46 New scan for IDM (2015) A. Ilnicka, T. Robens, MK Theor. constraints stability of the potential (positivity),pert.unitarity, condition for Inert vacuum STU (from 2014) Higgssignal/Higgs bounds Lifetime of H+ (< 10-7 s to decay inside detector) Relic density Planck -upper limit 95% CL, Direct detection LUX --> scan over M H up to1 TeV M. Krawczyk, Zakopane
47 M. Krawczyk, Zakopane New scan A.Ilnicka, T. Robens, MK OK
48 M. Krawczyk, Zakopane New scan: dark particles masses MH vs MH+ MH vs MA
49 LHC II HA and H+H- production M. Krawczyk, Zakopane
50 Benchmarks for LHC II HA H+H- λ 345 M H Cross section in pb, mass in GeV M. Krawczyk, Zakopane
51 Evolution of Universe to the Inert Phase M. Krawczyk, Zakopane
52 Evolution of the Universe in 2HDM through different vacua in the past Ginzburg, Ivanov, Kanishev 2009 Ginzburg, Kanishev,MK, Sokołowska PRD 2010, Sokołowska 2011 We consider 2HDM with an explicit D symmetry assuming that today the Inert Doublet Model describes reality. In the simplest approximation only mass terms in V vary with temperature like T 2, while λ s are fixed Various evolution from EWs to Inert phase possible in one, two or three steps, with 1 st or 2 nd order phase transitions... M. Krawczyk, Zakopane
53 Evolution of vacua T 2 corrections rays from EWs phase to Inert phase one, two or three stages of Universe (II order phase transitions, one I order) M. Krawczyk, Zakopane
54 Nonrestoration of EW symmetry for λ 345 < 0 c 1 or c 2 < 0 Charged breaking phase Only one ray with EW restoration in the past (in one step) M. Krawczyk, Zakopane
55 Beyond T 2 corrections strong 1st order phase transition in IDM? EW baryogenesis? G. Gil MsThesis'2011, G.Gil, P. Chankowski, MK [hep-ph] PLB 2012 We applied one-loop effective potential at T=0 (Coleman-Wienberg term) and temperature dependent effective potential at T 0 (with sum of ring diagrams) mass matrices number of states counter terms M. Krawczyk, Zakopane
56 Effective T=0 potential Mh=125 GeV MH=65 GeV 500 MH+=MA= 500,450,400,300 GeVṼ λ 345 =0.2, λ 2 =0.2 v 2(D) =0 Critical temperature T EW : V at new minimum = V at (v 1(s) =v 2(D) =0) M. Krawczyk, Zakopane
57 Strength of the phase transition v(t EW )/T EW We are looking for parameter space of IDM which allows for a strong first order phase transition v(t EW )/T EW > 1 being in agreement with collider and astrophys. data We focus on medium DM, with M H «v, heavy degenerated A and H+ and M h =125 GeV
58 Phases at T=0 EWs M. Krawczyk, Zakopane 2015 Xenon100 bound λ
59 Results for v(t EW )/T EW Mh=125 GeV, MH=65 GeV, λ2=0.2 strong 1st order phase transition if ratio > 1 EWs I1 EWs I2 I1 Allowed MH+=MA between 275 and 380 GeV (one step) R<0 Xenon100 bound R>0 λ 345 M. Krawczyk, Zakopane
60 Conclusion (beyond T 2 ) Strong first order phase transition in IDM possible for realistic mass of Higgs boson (125 GeV) and DM (~65 GeV) for 1/ heavy (degenerate) H+ and A: mass GeV 2/ low value of hhh coupling λ 345 < 0.1 3/ Coleman-Weinberg term important Borach, Cline Chowdhury et al (DM as a trigger of strong EW PT) (on 2HDM Cline et al, and Kozhusko ) M. Krawczyk, Zakopane
61 M. Krawczyk, Zakopane 2015 B. Świeżewska, JHEP Vacuum metastability of IDM Extra scalars improved stability at large scales Stal at al. 2013
62 M. Krawczyk, Zakopane
63 M. Krawczyk, Zakopane IDM safe B. Świeżewska, JHEP 2015
64 complex singlet with vev M. Krawczyk, Zakopane IDMS = IDM + complex singlet S doublet D doublet
65 M. Krawczyk, Zakopane IDMS IDM - SM-like h and dark matter (H) in agreement with data - strong enough first order phase transition (baryogenesis) - D-symmetry = CP is conserved IDMS in addition one complex singlet with complex vev. Mixing of SM doublet with a singlet -> CP violation
66 IDMS potential soft breaking U(1) assumed IDM SM-doublet singlet interaction no Inert doublet singlet term (small at loop level) M. Krawczyk, Zakopane
67 M. Krawczyk, Zakopane Parameters for singlet qubic parmeters doublet-singlet interaction
68 M. Krawczyk, Zakopane Doublet-singlet mixing Singlet a small modification of EWSB by a doublet eg. if no mixing 3 Higgses h1 ~ h in the SM with mass around 125 GeV h2,h3 can be heavy (we put a lower limit 150 GeV)
69 IDMS dark sector as in IDM M. Krawczyk, Zakopane
70 IDMS R γγ and R Zγ M. Krawczyk, Zakopane
71 Relic density medium mass H M. Krawczyk, Zakopane
72 IDMS relic density M. Krawczyk, Zakopane
73 Comparison with LUX M. Krawczyk, Zakopane
74 M. Krawczyk, Zakopane Summary SM-like scenario still valid (June 2015) IDM is a very natural extension of the SM SM doublet one Higgs SM-like h Dark doublet 4 scalars (two charged) one stable (H=DM) IDM in agreement with LHC data and relic density/ LUX IDMS towards a description of baryogenesis Higgs as a very good probe of DM!
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