Continuing search for new physics in $b\to s\mu \mu$ decays: two operators at a time

Abstract

The anomalies in the measurements of observables involving $b\to s\mu \mu$ decays, namely $R_K$, $R_{K^{\ast }}$, $P_5^{\prime }$, and $B_s^{\varphi }$, may be addressed by adding lepton-universality-violating new physics contributions to the effective operators ${\mathcal{O}}_9,{\mathcal{O}}_{10},{\mathcal{O}}_9^{\prime },{\mathcal{O}}_{10}^{\prime }$. We analyze all the scenarios where the new physics contributes to a pair of these operators at a time. We perform a global fit to all relevant data in the $b\to s$ sector to estimate the corresponding new Wilson coefficients, $C_9^{\mathrm{NP}},C_{10}^{\mathrm{NP}},C_9^{\prime },C_{10}^{\prime }$. In the light of the new data on $R_K$ and $R_{K^{\ast }}$ presented in Moriond 2019, we find that the scenarios with new physics contributions to the ($C_9^{\mathrm{NP}}$, $C_9^{\prime }$) or ($C_9^{\mathrm{NP}}$, $C_{10}^{\prime }$) pair remain the most favored ones. On the other hand, though the competing scenario ($C_9^{\mathrm{NP}}$, $C_{10}^{\mathrm{NP}}$) remains attractive, its advantage above the SM reduces significantly due to the tension that emerges between the $R_K$ and $R_{K^{\ast }}$ measurements with the new data. The movement of the $R_K$ measurement towards unity would also result in the re-emergence of the one-parameter scenario $C_9^{\mathrm{NP}}=-C_9^{\prime }$.

arXiv comment20 pages, 2 figures; Added an appendix with updated fit results by taking into account the LHCb results between March 2019 and March 2021 (including R_K update in Moriond 2021)

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