Abstract
Inspired by the recent experimental results which show deviations from the standard model (SM) predictions of $b\rightarrow s \ell^+\ell^-$ 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 $b\rightarrow s \ell^+\ell^-$ anomaly. We study the parameter space of the single-parameter scenario $C^{\rm NP}_{9,\mu}=-C^{\rm NP}_{10,\mu}=C_{\rm V}$ and the double-parameter scenario $(C_{\rm V},C_{\rm U})$, respectively, constrained by other experimental data such as $B_s-\bar{B}_s$ mixing, $B\rightarrow X_s \gamma$ 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 $t\rightarrow cg$ process to reach the sensitivity at the Future Circular hadron-hadron Collider (FCC-hh).
Highlights
In recent years, several hints of new physics (NP) beyond the standard model (SM) have shown up, such as RKðÃÞ 1⁄4 BðB → KðÃÞμþμ−Þ=BðB → KðÃÞeþe−Þ on the transitions of b → slþl− (l 1⁄4 e, μ), which exhibits very attractive anomalies
The first parts of the input parameters used throughout the paper are collected in Table I, which includes the lepton oscillation data [74] under the normal ordering (NO)
Recent measurements on the transition b → slþl− reveal the deviations from SM predictions
Summary
Several hints of new physics (NP) beyond the standard model (SM) have shown up, such as RKðÃÞ 1⁄4 BðB → KðÃÞμþμ−Þ=BðB → KðÃÞeþe−Þ on the transitions of b → slþl− (l 1⁄4 e, μ), which exhibits very attractive anomalies. [28] with the best fit point, ðCV; CUÞ ≈ ð−0.34; −0.32Þ After these results of the model-independent analyses are obtained, the imperative work is to find the concrete NP models which can conform to them. R-parity violating (RPV) terms, and all chiral parts of (s)neutrinos more than LH ones can interact with (s)quarks This new combination is naturally reasonable [77,78,79] and has never been studied in the b → slþl− anomalies to our knowledge. We will investigate whether the parameter space for the explanation of b → slþl− anomalies can be in accordance with the deviation Δaμ, and we will discuss the NP effects on ae.
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