Studying the $b\to s{\ell }^{+}{\ell }^{-}$ anomalies and $(g-2{)}_{\mu }$ in $R$-parity violating MSSM framework with the inverse seesaw mechanism

Abstract

Inspired by the recent experimental results which show deviations from the standard model (SM) predictions of $b\to s{\ell }^{+}{\ell }^{-}$ transitions, we study the $R$-parity violating minimal supersymmetric standard model (RPV-MSSM) 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 $B_s-{\bar{B}}_s$ mixing, $B\to X_s\gamma$ decay, the lepton flavour 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 (FCC-hh).

Comments: 49 pages, 7 figures, matches version accepted by PRD