Testing the new CP phase in a Supersymmetric Model with Q6 Family Symmetry by Bs Mixing

TL;DR

This paper explores how a supersymmetric model with Q6 family symmetry affects the CP phase in Bs mixing, predicting observable differences in CP asymmetry that align with current experiments and can be tested soon.

Contribution

It introduces a supersymmetric Q6 model where new contributions to Bs mixing are real but lead to measurable CP phase differences, extending previous models.

Findings

The model predicts a mostly negative flavor-specific CP asymmetry a_fs^s.

The size of a_fs^s can be ten times larger than the standard model.

Predictions are consistent with current experimental data.

Abstract

The new contribution to the non-diagonal matrix element M_12 of the neutral B_s meson system is investigated in a supersymmetric extension of the standard model based on the discrete Q6 family symmetry. We assume that CP is explicitly, but softly broken only by the b terms in the soft supersymmetry breaking sector. We find that the new contributions to M_12 are real, and that nevertheless there exists an observable difference in the CP phase compared with the standard model. We focus our attention on the flavor-specific CP asymmetry a_fs^s, and find that a_fs^s of the model is mostly negative and its size can be one order of magnitude larger the standard model value. This prediction is consistent with the current experimental value, and can be experimentally tested in the near future.