DISCRETE 2014 London, Maria Krawczyk U. of Warsaw. Plan Higgs: LHC data SM-like scenarios at LHC

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1 DISCRETE 2014 London, Plan Higgs: LHC data SM-like scenarios at LHC Z2 symmetric 2HDM Maria Krawczyk U. of Warsaw Higgs-portal to dark matter Inert Doublet Model (IDM) LHC DM ILC

2 Discoveries of elementary particles - flood' in years Foton γ Neutrino ν hadrons 1964!! Quark Model CP violation mass generation Standard Model

3 Fundamental particles in SM spin 1/2 ħ 1 ħ spin 0 Masses: GeV

4 Year 1964 LHC Higgs-like particle with mass GeV observed by ATLAS+CMS (+Tevatron)

5 Yoichiro Nambu NOBEL 2008 Nambu, Nobel 2008 Za For wprowadzenie introducing SSB spontanicznego to elementary łamania particle physics symetrii do fizyki cząstek elementarnych

6 Brout-Englert-Higgs mechanism Spontaneous breaking of EW symmetry SU(2) x U(1) U(1) QED Standard Model Doublet of SU(2): Φ = ϕ + v+h+iζ V = ½λ(Φ Φ)²- ½m²(Φ Φ), v 2 = m² /λ (vev) Masses for W +/, Z (tree ρ =1), no mass for the photon generation of mass of gauge boson: M W = g v Fermion masses via Yukawa int. (add. parameters) Higgs particle H SM - spin 0, neutral, CP even h couples prop. to masses to W/Z and fermions only unknown Higgs mass selfinteraction

7 Higgs particle-the missing particle of SM The discovered ~125 GeV scalar has properties very close to predicted by the SM. But how close? Loop couplings ggh, γγh, γzh sensitive to new physics (new, even very heavy particles nondecoupling effects) Beyond SM (BSM) - only SM-like scenarios: SM-like h and no other new particle seen

8 deroeck, Corfu 2014,

9 Production and decay of Higgs particle at LHC main decays decay to γγ loop t,b,w

10 deroeck,

11 deroeck,

12 SM-like Higgs old In addition: total width 4-5 x SM (in SM MeV) decay to invisible particles BR (inv) < 0.37

13 Morsolli, Corfu 2014, Sept. 2014

14 Relic density - WMAP, Planck WMAP PLANCK 3 sigma: Higgs portal models SM-like h

15 DM DATA? DM DM N N direct exp.

16 and LUX cm 2

17 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 ; mass for photon possible 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 - CP violation: h 1,h 2,h 3 with undefinite CP parity* Sum rules hold (for relative couplings to SM χ) T.D. Lee 1973

18 2HDM's SYMMETRIES!!! Potential Yukawa Vacuum

19 2HDM Lagrangian L= L SM +L Higgs +L Y Potential (14 parameters) L Higgs =T-V V = ½λ 1 (Φ₁ Φ₁)²+½λ₂(Φ₂ Φ₂)² +λ₃(φ₁ Φ₁)(Φ₂ Φ₂)+λ₄(Φ₁ Φ₂)(Φ₂ Φ₁)+½[λ₅(Φ₁ Φ₂)²+h.c] + [(λ₆(φ₁ Φ₁)+λ₇(Φ₂ Φ₂))(Φ₁ Φ₂)+h.c] - ½m²₁₁(Φ₁ Φ₁)- ½m²₂₂(Φ Φ₂)- ½[m²₁₂(Φ₁ Φ₂)+h.c.] Reparametrization freedom: 11-2=9 parameters Ginzburg, MK ;Gunion,Haber 04) Z₂ symmetry transf.: Φ₁ Φ₁ Φ₂ - Φ₂ (or vice versa) Hard Z₂ symmetry violation: λ₆, λ₇ terms Branco,Rebelo 85 Soft Z₂ symmetry violation: m²₁₂ term (Re m²₁₂=µ²) Explicit Z₂ symmetry in V: λ₆, λ₇, m²₁₂=0 (NO CP violation)

20 Various models of Yukawa inter. typically with some Z 2 type symmetry to avoid FCNC Glashow-Weinberg,Paschos77 Model I - only one doublet interacts with fermions Model II one doublet with down-type fermions d, l other with up-type fermions u Model III - both doublets interact with fermions Model IV (X) - leptons interacts with one doublet, quarks with the other Top 2HDM top only with one doublet Fermiophobic 2HDM no coupling of fermions to the lightest Higgs ruled out by LHC and others

21 Inert Doublet Model a model with exact Z 2 symmetry Higgs and Dark Matter in agreement with data LHC: strong constraints on DM from Higgs data Various type of evolution 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

22 Types of extrema (vacuua) Ma78,Velhinho,Santos,Barroso.94 for real V with Z 2 symmetry Φ₁ Φ₁, Φ₂ - Φ₂ notation: Φ 1 Φ S & Φ 2 Φ D (D symmetry) The most general extremum state v S, v D, u - real v S, u 0 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

23 D-symmetric potential vacua Stable vacuum (positivity) λ 4 ± λ 5 >- X, X= λ 1 λ 2 +λ 3 >0 Y = M 2 H+ 2/v 2 Inert Neutral vacua Mixed M [v S and v D 0] Inert I1 (I2) [v S or v D 0] Charged breaking vacuum CB

24 Phase diagrams for D-sym. V coexistence of I1 and I2 minima Inert (I1) vacuum for Mh=125 GeV fixed 1

25 Inert phase for TODAY Inert Doublet Model Ma, '78 Barbieri..'06 Exact Z 2 (D) symmetry under transf. Φ S Φ S Φ D - Φ D in L (V and Yukawa interaction = Model I only Φ S ) and in the vacuum: 6 parameters, eg 4 masses + 2 couplings

26 Inert Doublet Model 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) IDM: An Archetype for Dark Matter, Lopez Honorez,..Tytgat..07 LHC phenomenology (Barbieri., Ma , )

27 Testing Inert Doublet Model Detailed study of - the SM-like h M 2 h = m 11 2 = λ 1 v 2 Study of dark scalars D - masses depend on - the dark scalars D interact always in pairs! Ma'2006,.Barbieri 2006, Dolle,Su, Gorczyca(Świeżewska), MSc T2011, , , Posch 2011, Arhrib..2012, Chang, Stal D couple to V = W/Z (eg. AZH, H W+H), not DVV! Quartic selfcouplings D 4 proportional to λ 2 hopeless to be measured at colliders! Couplings with Higgs: hhh ~ λ 345 h H+H- ~ λ 3 λ 345

28 Constraints vacuum stability, perturbative unitarity eg (full scattering matrix (25x25) for scalars) < 8.38 Kanemura et al. 93; Akeroyd,Arhrib,Naimi,2000, Swaczyna 2013 *condition for Inert vacuum* < 9 x10 4 GeV 2 Data: EWPT (S and T) LEP, LHC (Higgs), WMAP data New analyses 2013, 2014

29 LEP exclusion mass of H+ > 70 GeV (model independent) masses H vs A IDM Lundstrom... hep-ph/ DM=H

30 IDM scan (B. Świeżewska 2012) H = dark matter 0 > λ 45 =λ 4 + λ 5 narrow (wide) range condition for Inert

31 Inert Doublet Model with M h =125 GeV m 222 = GeV 2 heavy H/H+ m 22 2 =0 valid up to m 222 = 10 4 GeV 2

32 signal strength μ narrow width approx.

33

34 λ3

35 R γγ as a function of mass H and 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

36 Very heavy DM R γγ(2sigma)

37 Invisible decay in IDM constraining coupling hhh

38 Relic density constraints on masses and couplings of DM Coannihilation possible for small (AH) splitting

39 WMAP window for light H (DM)

40 Relict density for DM D. Sokołowska, 2013 with mass 62,64,,80 GeV HA coannihilation [50,8] 70 GeV above 76 GeV asymmetry due to annihilation to gauge bosons

41 Relict 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

42 Low mass H excluded by LHC! R γγ >0.7 Sokołowska/Świeżewska

43

44

45 New (Planck)

46 Direct detection comparison with LHC, Xenon 100 and LUX stronger than the dedicated DM experiments

47 IDM

48 Heavy DM (R γγ and Planck) IDM- for f_n = 0.326

49 DM production at LHC LHC at 8 TeV P. Swaczyna MSc, May 2013 SM background WW,ZZ, tt Pythia, 2HDMC above 2 M_H+M_A< 145 GeV M_A>100 GeV work in progress

50 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...

51 Evolution of vacua on phase diagram (μ 1,μ 2 ) μ i =m ii2 / λ i three regions of R T2 corrections rays from EWs phase to Inert phase one, two or three stages of Universe (II order phase transitions, one I order) stability condition

52 Nonrestoration of EW symmetry: R <0 c 1 or c 2 < 0 Only one ray with EW restoration in the past (in one step and R γγ >1!) Charged breaking phase

53 Conclusions Intert Doublet Model in agreement with data Inert phase today - what was in the Past? Various evolution scenarios : - Ch breaking in the past?-excluded if DM neutral - DM matter may appear later - Inert phase today: R γγ >1 M_DM>62.5 GeV, and EW symmetry breaking in one step (if R γγ >1.2 M_H+< 160 GeV) - Strong 1st order PT H+ and A: mass GeV

54 Are we approaching a new era? Spring 2015 at LHC Higgs data Dark Matter Dedicated DM analysis at LHC What about ILC?

55 International Linear Collider ILC

56 2007

57 ILC - options PLC K. Monig

58 9 good reasons to build PLC 1. Precision measurements of the light Higgs boson production (->bb) and distinguishing SM-like scenarios 2. Testing Higgs selfinteraction 3. Higher mass reach and covering LHC wedge 4. Establishing CP property of Higgs bosons 5. Search for SUSY particles 6. Complementarity to ILC and LHC 7. Photon structure and QCD tests 8. Anomalous W and t couplings 9. New physics in γ γ γ γ

59 M Higgs-resonance decaying in bb extracting Γ Studies (simulations) for Mh=120 GeV: γ γ γ Ohgaki, Takahashi, Watanabe 1997 Jikia, Soldner-Rembold 1999 Asner, Gronberg, Gunion 2001 Niezurawski, Zarnecki, MK 2002 Moenig, Rosca 2003 Cross section x Br ~ 2 % γ h (+Br to bb from e+e- ) 3 % accuracy for Γ γγ Γ γ γ sensitive to SUSY particles, charged Higgs bosons, charged new particles (new generations..). Distinguishing SM-like scenarios possible Note that hγγ vertex has a phase!!

60 125 GeV H at PLC? Г (h γ γ) ~ 3 % Niezurawski et al., Monig, Rosca

61 MSSM Higgs searches/overall discovery potential (300 fb -1 ) at LHC in some parts >1 Higgs bosons observable but large area in which only one Higgs boson h (SM-like) observable LHC wedge heavy A and H degenerate Basic question: Could we distinguish SM and MSSM Higgs sector - e.g via rate measurements?

62

63 Using lin.polarisation -> A,H separation Spira et al Covering the LHC wedge at PLC Niezurawski et al.,- simulation

64 Zarnecki, Niezurawski, MK

65

66 Measurement of Higgs self-coupling E. Asakawa D. Harada S. Kanemura,Y. Okada, K. Tsumura LEI 2007 Dec2007,Hiroshima γγ HH at PLC. And we try to answer a question: Comparing with ILC, λ HHH Superior? Comparable? Complement? λ HHH seem-to-be advantage 2 body final state Polarization (J Z =0) seem-to-be disadvantage Large contribution from box diagrams Luminosity For 2HDM - Cornet, Hollik [hep-ph] Asakawa at al [hep-ph]

67 May 2012 From the sensitivity to the anomalous selfcoupling of Higgs, the optimum γγ collision energy was found ~ 270 GeV for a Higgs mass of 120 GeV Large backgrounds γγ WW,ZZ, bb can be suppressed if correct assignment of tracks to parent partons is achieved and Higgs pair events can be observed with a statistical significance of 5σ by operating PLC for 5 y Earlier study Jikia, Beluscovic, Asakawa at al., Cornet et al..

68 Stat.sensitivity e+e- 44 % integrated lum. of 2 ab-1 at 500 GeV

69 M.Peskin (SLAC) in 2010

70 Final conclusion Near future looks very interesting