Abstract

We give a comprehensive study from flavor observables of pion, kaon, D_(s), and B_(s) mesons for limiting the Two Higgs Doublet Models (2HDMs) with natural flavor conservation, namely, Z_2 symmetric and aligned type of models. With use of the updated studies and analyses of B -> tau nu, D -> mu nu, D_s -> tau nu, D_s -> mu nu, K -> mu nu, Pi -> mu nu, B^0_s -> mu^+ mu^-, B^0_d -> mu^+ mu^-, tau -> K nu, tau -> Pi nu, B -> X_s gamma, K-K bar mixing, B^0_d-B^0_d bar mixing, and B^0_s-B^0_s bar mixing, we obtain constraints on the parameters in the 2HDMs. To calculate the constraints, we pay attention to a determination of CKM matrix elements and re-fit them to experimental data so that new contributions from additional Higgs bosons do not affect the determination. In addition, we discuss excesses of observables in the muon anomalous magnetic moment and the semi-tauonic B meson decays in the context of the 2HDM.

Highlights

  • Many experiments have investigated the validity of the standard model (SM)

  • In the 2HDM, some of observables are affected by the extra Higgs bosons and the CKM matrix elements must be re-fitted by taking such an effect into account

  • We have obtained the significant constraints on the masses and couplings of the extra Higgs bosons, and shown the possibilities to accommodate the anomalies in the muon anomalous magnetic moment and the tauonic B meson decays

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Summary

Introduction

Many experiments have investigated the validity of the standard model (SM). It has turned out that the SM can mostly accommodate the present low-energy experimental data. [8], a constraint on the 2HDM of type II from flavor observables have been calculated as well as the global fit of the CKM matrix elements, taking the charged Higgs effect into account. Taking all the recent updates both for the theoretical calculations and the experimental results along with the other significant processes, we perform a comprehensive study of the type I, II, X, Y, and aligned models and obtain the current status of the flavor constraints on the parameters in these models.

Yukawa sector in 2HDM
Z2 symmetry
Alignment
Type III
Flavor observables
Neutral meson mixing
Anomalies
Muon anomalous magnetic moment
Determination of CKM in the 2HDM
B D ΜΝ b
Constraint
Input and experimental data
Setup of model parameters
Constraint on the Z2 symmetric models
Constraint on the aligned model
Analysis of anomalies
Summary
A Evaluation of the uncertainties and input parameters
B Analytic formulae for flavor observables
Assumptions
Averaged time-integrated branching ratio
Findings
Neutral meson mixings

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