Scrutinizing R -parity violating interactions in light of R K ( * ) data

TLDR: In this paper, the LHCb has measured the ratios of branching fractions in two dilepton invariant mass squared bins, which deviate from the standard model predictions by approximately $25

Abstract: The LHCb has measured the ratios of $B\ensuremath{\rightarrow}{K}^{*}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}$ to $B\ensuremath{\rightarrow}{K}^{*}{e}^{+}{e}^{\ensuremath{-}}$ branching fractions in two dilepton invariant mass squared bins, which deviate from the standard model predictions by approximately $25\ensuremath{\sigma}$ These new measurements strengthen the hint of lepton flavor universality breaking which was observed earlier in $B\ensuremath{\rightarrow}K{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ decays In this work we explore the possibility of explaining these anomalies within the framework of $R$-parity violating interactions In this framework, $b\ensuremath{\rightarrow}s{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ transitions are generated through tree and one loop diagrams involving exchange of down-type right-handed squarks, up-type left-handed squarks and left-handed sneutrinos We find that the tree level contributions are not enough to explain the anomalies, but at one loop, simultaneous explanation of the deviations in $B\ensuremath{\rightarrow}{K}^{*}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ and $B\ensuremath{\rightarrow}K{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ is feasible for a parameter space of the Yukawa couplings that is consistent with the bounds coming from $B\ensuremath{\rightarrow}{K}^{(*)}\ensuremath{\nu}\overline{\ensuremath{\nu}}$ and ${D}^{0}\ensuremath{\rightarrow}{\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}$ decays and ${B}_{s}\ensuremath{-}{\overline{B}}_{s}$ mixing