6533b827fe1ef96bd1285981

RESEARCH PRODUCT

Randall-Sundrum corrections to the width difference andCP-violating phase inBs0-meson decays

subject

description

We study the impact of the Randall-Sundrum setup on the width difference $\ensuremath{\Delta}{\ensuremath{\Gamma}}_{s}$ and the $CP$-violating phase ${\ensuremath{\phi}}_{s}$ in the ${\overline{B}}_{s}^{0}$-${B}_{s}^{0}$ system. Our calculations are performed in the general framework of an effective theory, based on operator product expansion. The results can thus be used for many new-physics models. We find that the correction to the magnitude of the decay amplitude ${\ensuremath{\Gamma}}_{12}^{s}$ is below 4% for a realistic choice of input parameters. The main modification in the $\ensuremath{\Delta}{\ensuremath{\Gamma}}_{s}/{\ensuremath{\beta}}_{s}$-plane is caused by a new $CP$-violating phase in the mixing amplitude, which allows for a better agreement with the experimental results of the CDF and D0 Collaborations from ${B}_{s}^{0}\ensuremath{\rightarrow}J/\ensuremath{\psi}\ensuremath{\phi}$ decays. The best-fit value of the $CP$ asymmetry ${S}_{\ensuremath{\psi}\ensuremath{\phi}}$ can be reproduced, while simultaneously the theoretical prediction for the semileptonic $CP$ asymmetry ${A}_{\mathrm{SL}}^{s}$ can enter the $1\ensuremath{\sigma}$ range.