Contributions to $b\to s\ell \ell$ Anomalies from $R$-Parity Violating Interactions

Abstract

We examine the parameter space of supersymmetric models with $R$-parity violating interactions of the form ${\lambda }^{\prime }LQ{D}^c$ to explain the various anomalies observed in $b\to s\ell \ell$ transitions. To generate the appropriate operator in the low energy theory, we are led to a region of parameter space where loop contributions dominate. In particular, we concentrate on parameters for which diagrams involving winos, which have not been previously considered, give large contributions. Many different potentially constraining processes are analyzed, including $\tau \to \mu \mu \mu$, $B_s-{\bar{B}}_s$ mixing, $B\to K^{(\ast )}\nu \bar{\nu }$, $Z$ decays to charged leptons, and direct LHC searches. We find that it is possible to explain the anomalies, but it requires large values of ${\lambda }^{\prime }$, which lead to relatively low Landau poles.

30 pages, 7 figures, references added, matched to journal version

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• Reconciling $B$-decay anomalies with neutrino masses, dark matter and constraints from flavour violation
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• B-physics anomalies: The bridge between R-parity violating Supersymmetry and flavoured Dark Matter
• Revisiting the $B$-physics anomalies in $R$-parity violating MSSM
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• The $W\ell \nu$-vertex corrections to W-boson mass in the R-parity violating MSSM
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• Search for new phenomena in multi-body invariant masses in events with at least one isolated lepton and two jets using $\sqrt{s}=13$ TeV proton-proton collision data collected by the ATLAS detector
• R-Parity Violating Supersymmetry and the 125 GeV Higgs signals
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• Explaining the $B_{d(s)}\to K^{(\ast )}{\bar{K}}^{(\ast )}$ puzzle via chiral-flip in $R$-parity violating MSSM with seesaw mechanism
• Probing new physics with charge asymmetries in 2 same-sign leptons plus jets final states at the LHC