Inspired by the recent experimental results which show deviations from the standard model predictions of $b\to s{\ell }^{+}{\ell }^{-}$ transitions, we study the $R$-parity violating minimal supersymmetric standard model extended by the inverse seesaw mechanism. The trilinear $R$-parity violating terms, together with the chiral mixing of sneutrinos, induce the loop contributions to the $b\to s{\ell }^{+}{\ell }^{-}$ anomaly. We study the parameter space of the single-parameter scenario $C_{9,\mu }^{\mathrm{NP}}=-C_{10,\mu }^{\mathrm{NP}}=C_{\mathrm{V}}$ and the double-parameter scenario $(C_{\mathrm{V}},C_{\mathrm{U}})$, respectively, constrained by other experimental data such as $B_s-{\overline{B}}_s$ mixing, $B\to X_s\gamma$ decay, the lepton flavor violating decays, etc. Both the single-parameter and the double-parameter scenario can resolve the long existing muon anomalous magnetic moment problem, as well, and allow the anomalous $t\to cg$ process to reach the sensitivity at the Future Circular hadron-hadron Collider.

• Received 9 June 2021
• Accepted 29 November 2021

DOI:https://doi.org/10.1103/PhysRevD.104.115023

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society