B Meson Mixing in Effective Theories of Supersymmetric Higgs Bosons

TL;DR

This paper explores how higher dimensional operators in a supersymmetric model can influence CP violation in B meson mixing, potentially explaining observed anomalies and predicting testable effects at the LHCb experiment.

Contribution

It introduces a minimal flavor violating MSSM extension with non-holomorphic Higgs couplings from higher dimensional operators, analyzing their impact on CP violation and B meson mixing.

Findings

Non-standard Bd mixing phase compatible with current bounds.

Parameter space with small tan(beta) and light Higgs below 400 GeV.

Future LHCb measurements can probe the predicted effects.

Abstract

We study a minimal flavor violating extension of the MSSM, where higher dimensional operators in the Kahler potential induce tree level non-holomorphic Higgs couplings that are controlled by the scale of the physics beyond the MSSM, and analyze their possible impact on CP violation in Bs and Bd mixing. We consider results on the time dependent CP asymmetries in Bs --> psi phi and Bs --> psi f_0 from LHCb, in Bs --> psi phi from CDF and D0 and in B --> psi K_S from the B factories as well as the measurement of an anomalous like-sign dimuon charge asymmetry at D0. Taking into account the stringent bounds on the branching ratio of the rare Bs --> mu+mu- decay, we investigate to which extent the framework allows to address the observed (2-3)sigma discrepancies in fits of the unitarity triangle. We find that a non-standard Bd mixing phase, that is in agreement with the current bounds on CP violation in Bs mixing, requires the presence of higher dimensional operators both in the Kahler potential and the superpotential. The corresponding region of parameter space is characterized by small tan(beta)~5, a light Higgs spectrum with masses below ~400 GeV and will be probed by future measurements at LHCb.