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

The recent measurements on $b\to s{\mathrm{\ell }}^{+}{\mathrm{\ell }}^{-}$ 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.