Constraints on the R-parity violating couplings using the newest measurement of the decay $B_s^0 \rightarrow \mu^+ \mu^-$

TL;DR

This paper uses the latest measurements of the decay $B_s^0 ightarrow  $ to set new, much stronger constraints on R-parity violating couplings, surpassing previous limits significantly.

Contribution

It provides updated, more stringent bounds on R-parity violating parameters using recent experimental data and precise Standard Model predictions.

Findings

Constraints on R-parity violating couplings are several orders of magnitude stronger.

Updated bounds using the $B_d^0 ightarrow  $ decay data.

Improved limits surpass previous literature.

Abstract

Recently, the LHCb collaboration reported the first evidence for the decay $B_s^0 \rightarrow \mu^+ \mu^-$. A branching ratio of $\mathcal{B}(B_s^0 \rightarrow \mu^+ \mu^-) = (3.2^{+1.5}_{-1.2}) \times 10^{-9}$ is given. Using the newest data, and together with the most precise predictions of the Standard Model contributions to the decay, we derive the constraints on the combinations of the R-parity violating parameters. Our results are several orders of magnitudes stronger than the constraints in the previous literature. We also update the constraints on the relevant parameters using the upper limit of $\mathcal{B}(B_d^0 \rightarrow \mu^+ \mu^-)$.