LHCb anomaly and B physics
in flavored Z’ models
with flavored Higgs doublets
Yoshihiro SHIGEKAMI(KEK  HUST, Wuhan)with P. Ko (KIAS), Y. Omura (Nagoya U., KMI), C. Yu(Korea U.)
Phys. Rev. D 95 115040 (2017)

Beyond the BSM (The 4th Kavli IPMU-Durham IPPP-KEK-KIAS workshop) @ Ikaho 10/1-10/4, 2018

Introduction■ The SM can explain almost all the exp. data
■ However, there are some problems- fermion mass hierarchy- charge quantization- dark matter- ...

■ These are hints of physics beyond the SMY. Shigekami

LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets

1Introduction■ Fermion mass hierarchy
× 580

mu = 2.2 +0.6-0.4 MeV

× 135

mc = 1.28±0.03 GeV
× 20

md = 4.7 +0.5
-0.4 MeV× 43

ms = 96 +8-4 MeV

× 207

me = 0.511 MeV

mt = 173.1±0.6 GeV

mb = 4.18 +0.04-0.03 GeV× 17

mμ = 105.658 MeV mτ = 1776.86±0.12 MeVfrom PDG■ How obtain these hierarchy?
Y. Shigekami

LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets

2Introduction■ We consider U(1)’ extended model
flavored Higgs doublets model

P. Ko, Y. Omura, YS, C. Yu, PRD 95, 115040 (2017) all fermions have flavor dependent charge
 new Higgs doublets for Yukawa couplings can explain SM fermion mass hierarchy■ New particles
・new gauge boson, Z’ ( U(1)’ gauge sym.)・physical modes in Higgs doublet

 many physical modes (e.g. charged Higgs, ...)
Y. Shigekami

LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets

3Introduction■ These particles cause FCNC processes- U(1)’ charges are flavor dependent- tree level processes

Affect flavor physics

 We focus on B physics b  sll （R(K), ΔM , B  X γ, R(D), R(D )Bs*spossibility of explanation, any predictions
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LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets4ModelFlavored Z’ Model
P. Ko, Y. Omura, YS, C. Yu, PRD 95, 115040 (2017)■ Charge assignment

New gauge sym.

3 Higgs doublets

New SM singlet scalara = 1, 2; A = 2, 3; i = 1, 2, 3

 In this work,
Y. Shigekami

Extra fermions to cancel the U(1)’ anomaly

LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets5Flavored Z’ Model■ Scalar potential■ Integrate H1 out：Higgs VEVs

00

 For fermion mass hierarchy,
H3  Top Yukawa
H1, H2  Others
Y. Shigekami

large tanβ & small

LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets6

Flavored Z’ Model■ Fermion mass matrices

each elements

Important for flavor physics

Note:

Y. Shigekami

LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets7

Flavored Z’ Model■ Yukawa couplings with charged Higgs

Flavor-violating

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LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets8

Flavored Z’ Model■ Z’ couplings
interaction basis

mass basis

Flavor-violating couplings

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LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets9Flavored Z’ Model■ Z’ couplings■ The size of each gij

Y. Shigekami

LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets

10Flavor Physics

Flavor Physics Involving b■ Flavor-violating processesb  sll, ΔF=2R(D(*))

b  sγ重神 芳弘

LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets

11Flavor Physics Involving b■ b  sll & ΔF=2 processes

S. Aoki et al., EPJC 77, 112 (2017).
Y. Amhis et al. [HFAG], arXiv:1412.7515 [hep-ex].

Allowed region for red: C9μ, cyan: C10μ, green: Bs-Bsbar mixing
T. Hurth, F. Mahmoudi, and S. Neshatpour, NPB 909, 737 (2016)

Y. Shigekami

LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets

12

Flavor Physics Involving b■ B  Xsγ

cyan band: experimental results (HFAG, arXiv:1412.7515)
gray line: tanβ= 50, (GuR)ct = -10-3（ for R(D(*))）
difference：couplings of charged Higgs

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LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets13

Flavor Physics Involving b■ R(D) & R(D*)(tanβ= 10)(tanβ= 5)tanβ= 50, (GuR)ct = -10-3

Belle: PRD 92, 072014 (2015);
arXiv:1603.06711 [hep-ex].
BABAR : PRL 109, 101802 (2012);
PRD 88, 072012 (2013).
HFAG: arXiv:1412.7515 [hep-ex].
LHCb: PRL 115, 111803 (2015).
SM pred.: PRD 92, 054510 (2015);
PRD 85, 094025 (2012).

Ellipse  1σ results for the Bell (blue), BABAR (black), HFAG (red)cyan band: LHCb 1σ result
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LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets

14

SummarySummary■ We consider U(1)’ extended model
new Higgs doublets  can explain fermion masses■ focus on B physics by Z’ and charged Higgsb  sll & ΔF=2：can explain simultaneously

B  Xsγ：mH±＞500 GeV, tanβ～ 5-10R(D) & R(D*)：hard to explain■ In this model, (t,c)-element becomes large
if the sensitivity of LHC is improved,
this model can be tested via t  ch channel

Y. Shigekami

LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets

15Buck up

Flavored Z’ Model■ Yukawa terms

a = 1, 2; A = 2, 3; i = 1, 2, 3

■ Fermion mass matrices

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LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets

Extra matters

Y. Shigekami

LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets

■ B physics・b  sll （R(K)） R. Aaij et al. [LHCb Collab.], PRL 113, 151601 (2014).

・ΔMBs
・ B  Xsγ・ R(D)、R(D*)[13,14] J.P. Lees et al. [BaBar Collab.], PRL 109, 101802 (2012); PRD 88, 072012 (2013).
[15] M. Huschle et al. [Belle Collab.], PRD 92, 072014 (2015).
[16] A. Abdesselam et al. [Belle Collab.], arXiv:1603.06711 [hep-ex].
[93] Y. Amhis et al. [Heavy Flavor Averaging Group (HFAG)], arXiv:1412.7515 [hep-ex].
[99] R. Aaij et al. [LHCb Collab.], PRL 115, 111803 (2015).
[100] J.F. Kamenik and F. Mescia, PRD 78 014003 (2008).
[101] M. Tanaka and R. Watanabe, PRD 82, 034027 (2010).
[102] J.A. Bailey et al. [MILC Collab.], PRD 92 034506 (2015).
[103] H. Na et al. [HPQCD Collab.], PRD 92, 054510 (2015).
[104] S. Fajfer, J.F. Kamenik, and I. Nisandzic, PRD 85, 094025 (2012).

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LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets

Introduction■ B anomalies

From talk slide of FPCP2017

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LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets

Yukawa couplings■ Yukawa couplings

Up-typeY. Shigekami(S = h, H, A)

Down-type

LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets

Flavor Physics Involving b■ input parameters

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from PDG [73]

LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets

Flavor Physics Involving b■ b  sll

exp. bounds

T. Hurth, F. Mahmoudi, and S. Neshatpour, NPB 909, 737 (2016)■ ΔF=2

Y. Shigekami

LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets

Flavor Physics Involving b■ B  Xsγ

Loop integrals:

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LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets

Flavor Physics Involving b■ R(D) & R(D*)

SM & our model coef.:

Y. Shigekami

LHCb anomaly and B physics in flavored Z' models with flavored Higgs doublets