Explaining $b\to s{\ell }^{+}{\ell }^{-}$ data by sneutrinos in the $R$-parity violating MSSM

Abstract

The recent measurements on $b\to s{\ell }^{+}{\ell }^{-}$ processes suggest the existence of lepton-flavour-universality breaking new physics. In this work, we have explored the possibility of explaining these data by sneutrinos in the $R$-parity violating minimal supersymmetric standard model. We study the light sneutrinos, of order 1 TeV, and suppose that the rest of the sfermions are much heavier than them. This setup can solve the $b\to s{\mu }^{+}{\mu }^{-}$ anomaly well, and it is almost unconstrained by other related processes, such as $B_s-{\bar{B}}_s$ mixing, as well as $B_s^0\to {\tau }^{+}{\tau }^{-}$, $B^{+}\to K^{+}{\tau }^{+}{\tau }^{-}$, $B_s^0\to {\tau }^{\pm }{\mu }^{\mp }$, $B^{+}\to K^{+}{\tau }^{\pm }{\mu }^{\mp }$, and $B\to K^{(\ast )}\nu \bar{\nu }$ decays.

Comments: 6 pages, 2 figures, matches to the version published in PRD