Studying the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>b</mml:mi><mml:mo>→</mml:mo><mml:mi>s</mml:mi><mml:msup><mml:mo>ℓ</mml:mo><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mo>ℓ</mml:mo><mml:mo>−</mml:mo></mml:msup></mml:math> anomalies and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo stretchy="false">(</mml:mo><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn><mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mi>μ</mml:mi></mml:msub></mml:math> in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>R</mml:mi></mml:math>-parity violating MSSM framework with the inverse seesaw mechanism
Min-Di Zheng, H. H. Zhang
Abstract
Inspired by the recent experimental results which show deviations from the standard model predictions of $b\ensuremath{\rightarrow}s{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ transitions, we study the $R$-parity violating minimal supersymmetric standard model 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 $b\ensuremath{\rightarrow}s{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ anomaly. We study the parameter space of the single-parameter scenario ${C}_{9,\ensuremath{\mu}}^{\mathrm{NP}}=\ensuremath{-}{C}_{10,\ensuremath{\mu}}^{\mathrm{NP}}={C}_{\mathrm{V}}$ and the double-parameter scenario $({C}_{\mathrm{V}},{C}_{\mathrm{U}})$, respectively, constrained by other experimental data such as ${B}_{s}\ensuremath{-}{\overline{B}}_{s}$ mixing, $B\ensuremath{\rightarrow}{X}_{s}\ensuremath{\gamma}$ decay, the lepton flavor 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 $t\ensuremath{\rightarrow}cg$ process to reach the sensitivity at the Future Circular hadron-hadron Collider.