Implications of b ->s  in the Weinberg Three-Higgs-Doublet Models

Abstract

Using recent experimental measurements on Br(b ..... sr) from CLEO, we study the constraints on the charged Higgs sector in various three-Higgs-doublet models. Some phenomenological implications in these models with emphasis on CP violation are presented. In particular, in some of these models; the CP violating muon polarization in Kp3 can be detected using the current KEK experiment E246. § 1. IntroductionThe Standard Model (SM) of electroweak interaction has to this point agreed with all current experimental data. However, the Higgs sector is still elusive and there exists very little experimental information on its nature. An enlarged Higgs sector beyond the SM is possibly consistent with the data and has received substantial attention in the literature. The simplest extensions are models with two Higgs doublets which have been discussed extensively by many authors.l)In this article, we wish to concentrate on models with three Higgs doublets, such as the original Weinberg three-Higgs-doublet model (WTHDM)2) or its variations. One significant characteristic of THDMs is that they contain a new CP-violating mechanism,3) in which the CP-violating phase comes from the mixing between physical and unphysical charged Higgs particles, in addition to the possibility of spontaneous CP violation (SCPV)4) in which the CP violation is from the mixing between CP odd and CP even neutral particles and the usual Cabibbo-Kobayashi-Maskawa (CKM) mechanism,S) which is explicitly broken CP symmetry. This new phase may have significant effects not only on the kaon system but also on the B-B mixing, on the CP asymmetries in B decays, on Weinberg's six dimensional operator which contributes to large neutron electric dipole moment (NEDM) and on B~ Tar or B~ KK through penguin diagrams depending on the models, as emphasized in Ref. 6). However, since the CP-violating couplings also contribute to other processes including the CP-conserving B decays, the experimental data on the radiative decay B-+ X s r7) can also constrain the CP asymmetries in B decays in these models to be small,6) assuming there is no cancellation between different sources of contributions. In addition, in some variations of WTHDM, the charged Higgs exchange mechanism can contribute to processes that involve both quarks and leptons, such as the semileptonic B decays of B-+ XlvI and the CP-violating muon polarization in KP.3, and give contributions near the current experimental data. This paper is organized as follows. In § 2, we present various types of Weinberg three-Higgs-doublet models and their constraints. Some phenomenological consequences are discussed in § 3. We give our concluding remarks in § 4.

Flavor Physics constrains on a $\mathbb{Z}_5$-3HDM

“…Belle experiments [21,22], BR(B → X s γ) Eγ = 3.37 ± 0.23 × 10 −4 . Following the analysis for 3HDM presented in [23][24][25][26], we can reproduce the LO contributions of both charged Higgses H ± a (with a = 1 ,2) in our model. They are given by the relevant Wilson coefficients at the matching energy scale µ W :…”

“…Moreover, the BR for the inclusive radiative decay B → X s γ at the LO level is given by [23][24][25][26]:…”