K^0 - \bar K^0, B^0 - \bar B^0 mixings in the MSSM with explicit CP violation in the Higgs sector

TL;DR

This paper analyzes K^0 and B^0 meson mixings within the MSSM featuring explicit CP violation in the Higgs sector, revealing small effects for K^0 but significant constraints for B mesons.

Contribution

It investigates the impact of explicit CP violation in the MSSM Higgs sector on meson mixing, highlighting conditions for light charged Higgs and the resulting phenomenological constraints.

Findings

Light charged Higgs can exist with strong CP mixing.

Nonstandard effects are negligible for K^0-mesons.

Significant effects constrain B-meson MSSM parameters.

Abstract

We consider the K^0 - \bar K^0 and B^0 - \bar B^0 mixings in the MSSM with the two-Higgs-doublet scalar sector featuring explicit CP violation, and the Yukawa sector of type II. In the case of strong mixing between CP-odd and CP-even states the existence of light charged Higgs is allowed in the model. The mass splitting \Delta m_{LS} and the amount of indirect CP violation \epsilon are calculated. In the limit of effective low-energy approximation the nonstandard effects are shown to be negligibly small in \Delta m_{LS} and \epsilon for the K^0-mesons, being almost independent on the charged Higgs boson mass. However, for the B_d^0 - \bar B_d^0 and B_s^0 - \bar B_s^0 systems the effects of nonstandard physics are shown to be larger, limiting the MSSM parameter space.