Higgs Boson Couplings as a Probe of New Physics

Transcription

1 Higgs Boson Couplings as a Probe of New Physics Kei Yagyu Based on S. Kanemura, K. Tsumura, KY, H. Yokoya, PRD90, (2014) S. Kanemura, M. Kikuchi, and KY, PLB731, 27 (2014) S. Kanemura, M. Kikuchi, and KY, work in progress HPNP2015, Feb. 11 th U. of Toyama

2 LHC Run-I Tells Us 1. There exits one CP-even scalar boson 2. Its mass is about 126 GeV. 3. It was observed from ZZ, γγ, WW and τ + τ The combined signal strength is consistent w/ the SM Higgs. 1

3 LHC Run-I Tells Us 1. There exits one CP-even scalar boson At least 4 d.o.f. 2. Its mass is about 126 GeV. 3. It was observed from ZZ, γγ, WW and τ + τ The combined signal strength is consistent w/ the SM Higgs. W L + Z L 1

4 LHC Run-I Tells Us 1. There exits one CP-even scalar boson At least 4 d.o.f. 2. Its mass is about 126 GeV. Consistent w/ EW precision tests 3. It was observed from ZZ, γγ, WW and τ + τ The combined signal strength is consistent w/ the SM Higgs. W L + Z L 1

5 LHC Run-I Tells Us 1. There exits one CP-even scalar boson At least 4 d.o.f. 2. Its mass is about 126 GeV. Consistent w/ EW precision tests 3. It was observed from ZZ, γγ, WW and τ + τ -. hvv/hff couplings 4. The combined signal strength is consistent w/ the SM Higgs. W L + Z L h V V h f f 1

6 LHC Run-I Tells Us 1. There exits one CP-even scalar boson At least 4 d.o.f. 2. Its mass is about 126 GeV. Consistent w/ EW precision tests 3. It was observed from ZZ, γγ, WW and τ + τ -. hvv/hff couplings 4. The combined signal strength is consistent w/ the SM Higgs. W L + This suggests that there is at least one isospin doublet scalar field. Z L The SM Higgs sector is the minimal realization. h V V h f f 1

7 Questions for the Higgs Sector What is the structure of the Higgs sector? - the number of multiplets, representations, symmetries, What is the mass scale of the 2 nd Higgs boson? - TeV scale or higher What is the decoupling property of extra Higgs bosons? - decoupling or non-decoupling Nature of the Higgs sector can strongly depends on What is the dynamics of the Higgs sector? new - strong physics or weak scenarios. Etc Higgs is a probe of New Physics!! 2

8 Higgs as a Probe of New Physics New Physics Beyond the SM B-L models Rad. ν-mass models MSSM CPV Type-II seesaw LR sym. models Singlets Doublets Triplets + Φ h(126) Non-minimal Higgs sectors 3

9 Higgs as a Probe of New Physics New Physics Beyond the SM B-L models MSSM Type-II seesaw Rad. ν-mass models CPV LR sym. models Singlets Doublets Triplets + Φ h(126) Discovered Non-minimal Higgs sectors Bottom Up Approach!! 3

10 How can We Determine? H Mass 2 M 2 + λv 2 Additional multiplets: S, D, T, H, A, H ±, H ±±,, v h (126 GeV) 2 hvv ~ m V2 /v h(126), v Higgs sector hff ~ m F /v Gauge bosons Quarks & Leptons 4

11 How can we determine? H Mass 2 M 2 + λv 2 ~ M 2 Additional multiplets: S, D, T, H, A, H ±, H ±±,, v TeV 2 h (126 GeV) 2 hvv ~ m V2 /v h(126), v Higgs sector hff ~ m F /v Gauge bosons Quarks & Leptons 4

12 How can We Determine? H Mass 2 M 2 + λv 2 ~ M 2 Additional multiplets: S, D, T, H, A, H ±, H ±±,, v h TeV 2 Extra Higgs bosons are decoupled. (126 GeV) 2 (Decoupling h(126), theorem) v hvv ~ m V2 /v Higgs sector Appelquist, Appelquest, Carazzone Carazzone (1975) (1974) hff ~ m F /v Gauge bosons Quarks & Leptons 4

13 How can We Determine? H Mass 2 TeV 2 M 2 + λv 2 Additional multiplets: S, D, T, H, A, H ±, H ±±,, v Direct search h (126 GeV) 2 hvv ~ m V2 /v h(126), v Higgs sector hff ~ m F /v Gauge bosons Quarks & Leptons 5

14 How can We Determine? H Mass 2 TeV 2 M 2 + λv 2 Additional multiplets: S, D, T, H, A, H ±, H ±±,, v Mixing Mixing h (126 GeV) 2 hvv ~ m V2 /v h(126), v Higgs sector Indirect search hff ~ m F /v Gauge bosons Quarks & Leptons 6

15 How can We Determine? H Mass 2 TeV 2 M 2 + λv 2 Additional multiplets: S, D, T, H, A, H ±, H ±±,, v Mixing Mixing h (126 GeV) 2 hvv ~ m V2 /v h(126), v Field and VEV mixings depend on the Higgs sector structure of the Higgs sector. Indirect search hff ~ m F /v They give various patterns of deviation in the Gauge Higgs bosons boson couplings. Quarks & Leptons 6

16 How can We Determine? H Mass 2 TeV 2 M 2 + λv 2 Additional multiplets: S, D, T, H, A, H ±, H ±±,, v Mixing Mixing Radiative corrections h (126 GeV) 2 hvv ~ m V2 /v h(126), v Higgs sector hff ~ m F /v Gauge bosons Quarks & Leptons 7

17 How can We Determine? H Mass 2 TeV 2 M 2 + λv 2 Additional multiplets: S, D, T, H, A, H ±, H ±±,, v h Mixing (126 GeV) 2 hvv ~ Decoupling property m V2 /v m 2 H ~ λv 2 (Violation of the D.T. ) Gauge bosons h(126), v Higgs sector Mixing Radiative corrections hff ~ m F /v m 2 H ~ M 2 (Decoupling case) Quarks & Leptons M 2 0 m H 2

18 Ex. of Violation of the Decoupling Theorem sin(β-α)=1 Φ = H, A, H ± Kanemura, Kiyoura, Okada, Senaha, Yuan (2004) 8

19 Ex. of Violation of the Decoupling Theorem sin(β-α)=1 Φ = H, A, H ± Kanemura, Kiyoura, Okada, Senaha, Yuan (2004) In the case with M 2 >> λv 2, we can see the decoupling behavior; Δλ 1/m Φ2. 8

20 Ex. of Violation of the Decoupling Theorem sin(β-α)=1 Φ = H, A, H ± Kanemura, Kiyoura, Okada, Senaha, Yuan (2004) In the case with M 2 < λv 2, nondecoupling effects (quartic power like mass dependence) appear. 8

21 How can We Determine? H h Mass 2 Additional multiplets: S, D, T, TeV 2 H, A, H ±, H ±±,, v Size of radiative corrections depends on the (126 GeV) 2 hvv ~ m V2 /v Mixing h(126), v Higgs sector Mixing hff ~ m F /v Radiative decoupling property of additional Higgs bosons corrections and inner parameters of non-minimal Higgs sector such as the 2 nd Higgs mass. Gauge bosons Quarks & Leptons 8

22 Fingerprinting Precise calculation of the Higgs couplings with Precise measurement of the Higgs couplings We can extract the structure, new mass scale and decoupling property of the Higgs sector! Experiments Compare Theory 9

23 h Coupling Measurements (Current) Scaling factors: κ X = g hxx exp /g hxx SM Heinemeyer, Mariotti, Passarino, Tanaka, arxiv: [hep-ph] 2 parameter fit (κ V = κ Z = κ W, κ F = κ t = κ b = κ τ ) ATLAS Collaboration, ATLAS-CONF CMS Collaboration, arxiv: [hep-ex] 10

24 h Coupling Measurements (Future) Snowmass Higgs Working Group Report, arxiv: [hep-ex] The Higgs boson couplings can be measured with the accuracy of a few% at HL-LHC and O(1)% or better than 1% at ILC500! 10

25 Contents Introduction - Power of Fingerprinting Higgs boson couplings in various Higgs sectors (Tree level) Radiative corrections to the Higgs boson couplings. Summery

26 Electroweak Rho Parameter There are two guidelines to restrict Higgs sectors from experiments ρ exp = Models with ρ tree = 1 seems to be a natural choice. T Y Satisfy the relation 1/2 1/ /2 15/2 2. Alignment of VEVs Ex. (T=1, Y=1) + (T=1,Y=0) (One doublet) + (Fields w/ 1 or 2) + (Others w/ tiny VEVs) 7-plet model; Hisano, Tsumura, PRD88 (2013); Kanemura, Kikuchi, KY PRD88 (2013). 11

27 Flavour Changing Neutral Current There are two guidelines to restrict Higgs sectors from experiments. Multi doublet structure causes the FCNC at the tree level Mass matrix Int. matrix (C e ) ij e i e j h In general, FCNC! 12

28 Flavour Changing Neutral Current There are two guidelines to restrict Higgs sectors from experiments. The simplest way to avoid FCNC is giving diff. charges among doublets. Mass matrix Int. matrix (C e ) ij e i e j h Simultaneously, we can diagonalize! 12

29 Four Yukawa Interactions Four types of Yukawa interactions are allowed in the 2HDM. Type-I Type-II (MSSM) Barger, Hewett, Phillips, PRD41 (1990) Grossman, NPB426 (1994). u Φ 2 Φ 2 u Φ 1 d e d e Type-X (Leptophilic) Type-Y (Flipped) Φ 2 Φ 1 Φ 2 Φ 1 u d e u d e 12

30 Simple Extended Higgs Sectors (CP-conserved) We consider the following Higgs sectors w/ ρ tree =1 w/o FCNC; 1. Φ + S [T=0, Y=0] 2. Φ + Φ [T=1/2, Y=1/2] Type-I Type-II Type-X Type-Y 3. Φ + Δ [T=1, Y=1(χ) + T=1, Y=0(ξ)] Georgi, Machacek (1985); Chanowitz, Golden (1985) With VEV alignment: <χ 0 > = <ξ 0 > 4. Φ + φ 7 (T=3, Y=2) Hisano, Tsumura, PRD88 (2013); Kanemura, Kikuchi, KY PRD88 (2013). 13

31 Two Parameters; α and β Mixing between CP-even states Ratio of VEVs v ~ 246 GeV ξ 2 = 0 (φ = S), ξ 2 = 1 (φ = Φ'), ξ 2 = 8 (φ = Δ), ξ 2 = 16 (φ = φ 7 ) 14

32 Deviations in hff and hvv Yukawa interaction f α f h Φ Y f = m f /<Φ> β h φ <φ> Gauge interaction V <Φ> β α <φ> ξ 2 V <Φ> = v sinβ ξ<φ> = v cosβ V h Φ h φ V 15

33 Higgs Singlet Model (φ=s) Yukawa interaction f h Φ α S f Y f = m f /<Φ> <S> Gauge interaction V V <Φ> h Φ α <S> S 16

34 Two Higgs Doublet Models (φ=φ ) Yukawa interaction f f h Φ Y f = m f /<Φ> α β Φ <Φ > Gauge interaction V V <Φ> h Φ β α <Φ > Φ ξ 2 = 1 V V 16

35 Two Higgs Doublet Models (φ=φ ) Yukawa interaction f ξ u ξ d ξ e h Φ Type-I cotβ cotβ cotβ Type-II f Y f cotβ = m f /<Φ> -tanβ -tanβ α β Φ <Φ > Type-X cotβ cotβ -tanβ Gauge interaction Type-Y cotβ -tanβ cotβ V V <Φ> h Φ β α <Φ > Φ ξ 2 = 1 V V 16

36 Triplet Model (φ=δ) Yukawa interaction Δ (3 3) = Δ(5) + Δ(3) + Δ(1) under SU(2) V f f h Φ Y f = m f /<Φ> α β Δ(1) <Δ> Gauge interaction V V <Φ> h Φ β α <Δ> Δ(1) ξ 2 =8 V V 16

37 Septet Model (φ= φ 7 ) Yukawa interaction f f h Φ φ 7 Y f = m f /<Φ> <φ 7 > α β Gauge interaction V <Φ> β α <φ 7 > V V h Φ φ 7 ξ 2 =16 V 16

38 κ V VS κ F Kanemura, Tsumura, KY, Yokoya, PRD90 (2014) Singlet Model κ V = κ F = cos α 17

39 κ V VS κ F Kanemura, Tsumura, KY, Yokoya, PRD90 (2014) Singlet Model κ V = κ F = cos α 2HDM-I κ V = sin(β-α) κ F = cos α/sin β κ V κ F α = 0 κ F = Max tanβ 1 sin(β-α) ~ cos α 17

40 κ V VS κ F Kanemura, Tsumura, KY, Yokoya, PRD90 (2014) Singlet Model κ V = κ F = cos α 2HDM-I κ V = sin(β-α) κ F = cos α/sin β Triplet Model κ V = sinβ cosα sqrt[8/3]cosβ sinα κ F = cos α/sin β 17

41 κ V VS κ F Kanemura, Tsumura, KY, Yokoya, PRD90 (2014) Singlet Model κ V = κ F = cos α 2HDM-I κ V ~ [tanβ-1α]cosβ κ F = cos α/sin β Triplet Model κ V ~ [tanβ-sqrt(8/3)α]cosβ κ F = cos α/sin β When α 1 17

42 κ V VS κ F Kanemura, Tsumura, KY, Yokoya, PRD90 (2014) Singlet Model κ V = κ F = cos α 2HDM-I κ V ~ [tanβ-1α]cosβ κ F = cos α/sin β Triplet Model κ V ~ [tanβ-sqrt(8/3)α]cosβ κ F = cos α/sin β Seplet Model κ V ~ [tanβ-4 α]cosβ κ F = cos α/sin β 17

43 κ V VS κ F Kanemura, Tsumura, KY, Yokoya, PRD90 (2014) Singlet Model κ V = κ F = cos α 2HDM-I κ V ~ [tanβ-1α]cosβ κ F = cos α/sin β ILC500 LHC3000 LHC300 Triplet Model κ V ~ [tanβ-sqrt(8/3)α]cosβ κ F = cos α/sin β Seplet Model κ V ~ [tanβ-4 α]cosβ κ F = cos α/sin β 17

44 κ e VS κ d Kanemura, Tsumura, KY, Yokoya, PRD90 (2014) ξ d ξ e Type-I cotβ cotβ Type-II -tanβ -tanβ Type-X cotβ -tanβ Type-Y -tanβ cotβ The structure of the Higgs sector can be determined from the measurements of hvv and hff couplings! 18

45 κ e VS κ d (Tree One-Loop) Kanemura, Kikuchi, KY, PLB731 (2014) Parameters are scanned with tanβ > 1 and m Φ > 300 GeV under the constraints from unitarity and vacuum stability. 19

46 Contents Introduction - Power of Fingerprinting Higgs boson coupling in various Higgs sectors (Tree level) Radiative corrections to the Higgs boson couplings Summery

47 Why 1-loop Level Calc.? X h = X e.g., hvv coupling in the 2HDM F can be O(1) Size of 1-loop correction can be O(1)%. The expected accuracy at the ILC500 is better than 1%! Tree calculation is not enough to compare future measurements! We can extract inner parameters of an extended Higgs sector! 20

48 Previous Works Previous works for radiative corrections to h couplings; SM MSSM/2HDM Kniehl, NPB352, NPB357, NPB376 (1991) [hvv, hff] Djouadi, Spira, Zerwas, PLB264 (1991) [hgg] Dawson, NPB359 (1991) [hgg] Belanger, Boudjema, Fujimoto, Ishikawa, Kato, Kaneko, Shimizu, PLB559 (2003) [hvv] Guasch, Hollik, Penaranda, PLB515 (2001) [hff] Hollik, Penaranda, EPJC 23 (2002) [hhh] Hahn, Heinemeyer, Weiglein, NPB 652 (2003) [hvv] Kanemura, Kiyoura, Okada, Senaha, Yuan PLB558 (2003) [hhh] Kanemura, Okada, Senaha, Yuan, PRD70 (2004) [hvv, hhh] Haber, Logan, Penaranda, Temes, NPPS157 (2006) [hff] Kanemura, Kikuchi, KY, PLB731 (2014) [hff] Triplet Model Aoki, Kanemura, Kikuchi, KY, PLB714 (2012) [hhh] Aoki, Kanemura, Kikuchi, KY, PRD87 (2013) [hvv, hhh] There must be other nice papers, please forgive me for incompletion. 21

49 Extract inner parameters (See Kikuchi s Poster on 14th ) Suppose that Δκ V, Δκ τ and Δκ b are measured to be (Δκ V, Δκ τ, Δκ b ) = (-2%, +18%, +18%) as an example. Δκ X = κ X - 1 Tree Type-II 2HDM like! At the tree level, this is explained at (x, tanβ) ~ (-0.2, 1). sin(β-α) ~ 1- x 2 /2 [x 1] At the 1-loop level, it depends on (x, tanβ, m Φ, M). 22

50 Kanemura, Kikuchi, KY, in preparation Δκ V, Δκ τ, Δκ b (See Kikuchi s Poster on 14th ) (= const. determined by exp.) (Δκ V, Δκ τ, Δκ b ) = (-2±2%, +18±2%, +18±4%) : LHC3000/fb (-2±0.4%, +18±1.9%, +18±0.9%): ILC 500/fb LHC 3000/fb ILC 500/fb :Tree level 23

51 Kanemura, Kikuchi, KY, in preparation Δκ V, Δκ τ, Δκ b (See Kikuchi s Poster on 14th ) (= const. determined by exp.) (Δκ V, Δκ τ, Δκ b ) = (-2±2%, +18±2%, +18±4%) : LHC3000/fb (-2±0.4%, +18±1.9%, +18±0.9%): ILC 500/fb LHC 3000/fb ILC 500/fb :Tree level 23

52 Kanemura, Kikuchi, KY, in preparation Δκ V, Δκ τ, Δκ b (See Kikuchi s Poster on 14th ) (= const. determined by exp.) (Δκ V, Δκ τ, Δκ b ) = (-2±2%, +18±2%, +18±4%) : LHC3000/fb (-2±0.4%, +18±1.9%, +18±0.9%): ILC 500/fb LHC 3000/fb ILC 500/fb :Tree level 23

53 Kanemura, Kikuchi, KY, in preparation Δκ V, Δκ τ, Δκ b (See Kikuchi s Poster on 14th ) (= const. determined by exp.) (Δκ V, Δκ τ, Δκ b ) = (-2±2%, +18±2%, +18±4%) : LHC3000/fb (-2±0.4%, +18±1.9%, +18±0.9%): ILC 500/fb LHC 3000/fb ILC 500/fb :Tree level Large non-decoupling. Nondecoupling-ness 23

54 Kanemura, Kikuchi, KY, in preparation Δκ V, Δκ τ, Δκ b (See Kikuchi s Poster on 14th ) 1. (x, tanβ) can be well determined at the ILC If x -0.2, there should be nondecoupling effect up to ~ 450 GeV. (= const. determined by exp.) 3. (Δκ To V, Δκ further τ, Δκ b ) = extract (-2±2%, +18±2%, M/m Φ and +18±4%) m Φ, : we need LHC3000/fb to add (-2±0.4%, +18±1.9%, +18±0.9%): ILC 500/fb another input from the experiments. LHC 3000/fb ILC 500/fb :Tree level Large non-decoupling. Nondecoupling-ness 23

55 Kanemura, Kikuchi, KY, in preparation Δκ V, Δκ τ, Δκ b +Δκ γ (See Kikuchi s Poster on 14th ) (Δκ V, Δκ τ, Δκ b ) = (-2±2%, +18±2%, +18±4%) : LHC3000/fb (-2±0.4%, +18±1.9%, +18±0.9%): ILC 500/fb Δκ γ = -2±2% Δκ γ = 0±2% Δκ γ = +2±2% 24

56 Kanemura, Kikuchi, KY, in preparation Δκ V, Δκ τ, Δκ b +Δκ γ (See Kikuchi s Poster on 14th ) Decoupling-ness can be well extracted by adding information of Δκ γ!! (Δκ V, Δκ τ, Δκ b ) = (-2±2%, +18±2%, +18±4%) : LHC3000/fb (-2±0.4%, +18±1.9%, +18±0.9%): ILC 500/fb Δκ γ = -2±2% Δκ γ = 0±2% Δκ γ = +2±2% 24

57 Summary 1. Bottom up approach By the reconstruction of the Higgs sector, the direction of new physics can be clarified. 2. Fingerprinting the Higgs couplings Comparing precise measurements and precise calculations of the h couplings, we can extract the structure, new mass scale and decoupling property of the Higgs sector. 3. Characteristic deviations in hvv and hff couplings Singlet Univ. in hvv and hff, 2HDMs Various patterns in hff, GM model κ V >1 4. Radiative corrections to the h couplings We demonstrate extraction of inner parameters from Δκ V, Δκ τ, Δκ b and Δκ γ in 2HDM. The accuracy achieved at the ILC is necessary for the extraction! 25

58 Signal Significance 25

59 KF-KF 25

60 mφ - tanβ 25

61 mφ - tanβ 25

62 Constraint from ST in 7-plet model Kanemura, Kikuchi, Yagyu, PRD88 (2013) Septet like Higgs mass 500 GeV (7-plet VEV tanβ), (Allowed sin (5 GeV 12 ), (-0.098, 0.65) (10 GeV 6 ), (-0.11, 0.27) (15 GeV 3.7 ), (-0.13, 0.13) (20 GeV 2.5 ), (-0.15, 0.042) 25

63 Constraints in the GM model Chiang, Kuo, Yagyu, JHEP10 (2013) 25

64 Upper lim. of the 2 nd Higgs mass (2HDM) 10% dev. 1% dev. 0.1% dev. m Φ :=m H+ = m A = m H κ V = g hvv (2HDM)/g hvv (SM) 63

65 Unitarity & Vacuum stability bounds 64

66 Approximate Formulae Δκ A = g haa (2HDM)/g haa (SM)-1 x = π/2 - (β-α), x << 1 [cos(β-α) ~ x] (f t, b) 65

67 Approximate Formulae Δκ A = g haa (2HDM)/g haa (SM)-1 x = π/2 - (β-α), x << 1 [cos(β-α) ~ x] Note: I t ~ -1.4, I W ~ 8.3 with m h =126 GeV 66

68 Uncertainty for QCD corrections Lepage, Mackenzie and Peskin, [hep-ph] 67

69 Renormalization 1. Count the # of parameters in the Lagrangian. 2. Prepare the same # of counter terms by shifting the parameters. 3. Set the same # of ren. conditions to determine the CT s. 4. Calculate the renormalized quantities. 68

70 Renormalization in the Higgs sector 1. Count the # of parameters in the Lagrangian. Parameters in the potential (8) : m h, m H, m A, m H+, α, β, v, M 2 Tadpoles (2) : T h, T H Wave functions (12) : Z even (2 2), Z odd (2 2), Z ± (2 2) Total (22) 2. Prepare the same # of counter terms by shifting the parameters. Parameter shift : m φ m φ + δm φ, α α+δα, Tadpole shift : T h 0 + δt h, T H 0 + δt h Field shift : 69

71 Renormalization in the Higgs sector 3. Set the same # of ren. conditions. Tadpole condition H, h = 0 δv : Ren. in EW sector Hollik δm 2 : Minimal subtraction Kanemura, Okada, Senaha, Yuan δt h, δt H (2) On-shell condition I Φ Φ = 0 δm φ p 2 = m Φ 2 On-shell condition II Φ Φ = 0 δz φ p 2 = m Φ 2 δα, δc Hh, δc hh On-shell condition III Φ Φ = p 2 = m Φ2 = m Φ 2 δβ, δc AG, δc GA δc G+H-, δc H+G- (8)

72 71 Renormalized Higgs Couplings 4. Calculate the renormalized quantities. Tree 1PI Counter term hww hzz hff hhh