Large Phase of B_s-\bar B_s Mixing in Supersymmetric Grand Unified Theories

TL;DR

This paper explores the potential for large CP-violating phases in B_s-ar B_s mixing within supersymmetric GUT models, linking these phases to observable phenomena like tau decays, CP asymmetries, and collider signatures.

Contribution

It demonstrates how supersymmetric SU(5) and SO(10) models can produce large B_s mixing phases, connecting them to experimental constraints and making predictions for LHC sparticle masses.

Findings

Large B_s mixing phase compatible with UTfit data in SU(5) models.

Relaxed correlation allowing large phase in SO(10) models.

Predicted non-zero CP asymmetry in B -> X_sγ.

Abstract

We consider the possibility of a large phase of B_s-\bar B_s mixing in supersymmetric SU(5) and SO(10) models. We find that in the SU(5) model, the magnitude of this phase is correlated with the branching ratio of \tau -> \mu\gamma and the phase can be within 2\sigma of the recent UTfit analysis. In the case of SO(10) models, this correlation can be relaxed and a large phase can be obtained. In this scenario, a non-zero value of CP asymmetry for B -> X_s\gamma will be predicted. We predict the sparticle mass ranges for the LHC for these models once the UTfit result is accommodated and discuss the dark matter and the anomalous magnetic moment constraints on this analysis.