Randall-Sundrum Corrections to the Width Difference and CP-Violating Phase in $B^0_s$-Meson Decays

TL;DR

This paper investigates how Randall-Sundrum models influence the width difference and CP-violating phase in B_s meson decays, showing that they can improve agreement with experimental data by introducing new CP-violating effects.

Contribution

It provides a model-independent analysis of Randall-Sundrum effects on B_s mixing parameters using effective theory, highlighting the role of new CP-violating phases.

Findings

Correction to decay amplitude magnitude is below 4%.

New CP-violating phase improves fit to experimental data.

Theoretical predictions align with observed CP asymmetries.

Abstract

We study the impact of the Randall-Sundrum setup on the width difference $\Delta\Gamma_s$ and the CP-violating phase $\phi_s$ in the $\bar B_s^0$-$B_s^0$ system. Our calculations are performed in the general framework of an effective theory, based on operator product expansion. The result can thus be used for many new physics models. We find that the correction to the magnitude of the decay amplitude $\Gamma_{12}$ is below 4% for a realistic choice of input parameters. The main modification in the $\Delta\Gamma_s/\beta_s$-plane is caused by a new CP-violating phase in the mixing amplitude, which allows for a better agreement with the experimental results of CDF and D\O from $B_s^0\rightarrow J/\psi\phi\,$ decays. The best-fit value of the CP asymmetry $S_{\psi\phi}$ can be reproduced, while simultaneously the theoretical prediction for the semileptonic CP asymmetry $A_{\rm SL}^s$ can enter the $1\sigma$ range.