$B_s^0-\bar{B}_s^0$ mixing within minimal flavor-violating two-Higgs-doublet models

TL;DR

This paper investigates the effects of charged Higgs bosons in minimal flavor-violating two-Higgs-doublet models on $B_s^0-ar{B}_s^0$ mixing, providing a detailed one-loop analysis and phenomenological constraints.

Contribution

It offers a complete one-loop calculation of electroweak corrections in two specific 2HDM variants and analyzes their parameter spaces using current experimental data.

Findings

Allowed parameter spaces for both models are identified.

Differences between type-III and type-C models are clarified.

Constraints on Yukawa couplings are derived from $B_s^0-ar{B}_s^0$ mixing data.

Abstract

In the "Higgs basis" for a generic 2HDM, only one scalar doublet gets a nonzero vacuum expectation value and, under the criterion of minimal flavor violation, the other one is fixed to be either color-singlet or color-octet, which are named as the type-III and type-C models, respectively. In this paper, the charged-Higgs effects of these two models on $B_s^0-\bar{B}_s^0$ mixing are studied. Firstly, we perform a complete one-loop computation of the electro-weak corrections to the amplitudes of $B_s^0-\bar{B}_s^0$ mixing. Together with the up-to-date experimental measurements, a detailed phenomenological analysis is then performed in the cases of both real and complex Yukawa couplings of charged scalars to quarks. The spaces of model parameters allowed by the current experimental data on $B_s^0-\bar{B}_s^0$ mixing are obtained and the differences between type-III and type-C models are investigated, which is helpful to distinguish between these two models.