Gluino-mediated electroweak penguin with flavor-violating trilinear couplings

Abstract

In light of a discrepancy of the direct $CP$ violation in $K\to \pi \pi$ decays, ${\epsilon }^{\prime }/{\epsilon }_K$, we investigate gluino contributions to the electroweak penguin, where flavor violations are induced by squark trilinear couplings. Top-Yukawa contributions to $\Delta S=2$ observables are taken into account, and vacuum stability conditions are evaluated in detail. It is found that this scenario can explain the discrepancy of ${\epsilon }^{\prime }/{\epsilon }_K$ for the squark mass smaller than 5.6 TeV. We also show that the gluino contributions can amplify $\mathcal{B}(K\to \pi \nu \overline{\nu })$, $\mathcal{B}(K_S\to {\mu }^{+}{\mu }^{-}{)}_{\mathrm{eff}}$ and $\Delta A_{\mathrm{CP}}(b\to s\gamma )$. Such large effects could be measured in future experiments.

30 pages, 8 figures; references added, version published in JHEP

References in corpus (19)

• Updated NNLO QCD predictions for the weak radiative B-meson decays
• Precise Measurements of Direct CP Violation, CPT Symmetry, and Other Parameters in the Neutral Kaon System
• $K\to \pi \pi$ $\Delta I=3/2$ decay amplitude in the continuum limit
• KL to pi0 e+ e- and KL to pi0 mu+ mu- : A binary star on the stage of flavor physics
• Direct $CP$ Violation in $K\to {\mu }^{+}{\mu }^{-}$
• Long-Distance Dominance of the CP Asymmetry in B->X_{s,d}+gamma Decays
• Neutral Kaon Mixing Beyond the Standard Model with $n_f=2+1$ Chiral Fermions Part 1: Bare Matrix Elements and Physical Results
• Chargino contributions in light of recent ${\epsilon }^{\prime }/\epsilon$
• Singularity-free Next-to-leading Order $\Delta S=1$ Renormalization Group Evolution and ${\epsilon }_K^{\prime }/{\epsilon }_K$ in the Standard Model and Beyond
• Tensions and correlations in $|V_{cb}|$ determinations
• Vacuum Stability Constraints on the Enhancement of the Higgs to Diphoton Rate in the MSSM
• Evidence for Isospin Violation and Measurement of $CP$ Asymmetries in $B\to K^{\ast }(892)\gamma$
• Improved limit on the branching fraction of the rare decay $K_S^0\to {\mu }^{+}{\mu }^{-}$
• Measurements of Direct CP Asymmetries in B to X_s gamma decays using Sum of Exclusive Decays
• Standard Model updates and new physics analysis with the Unitarity Triangle fit
• Probing SUSY effects in $K_S^0\to {\mu }^{+}{\mu }^{-}$
• Update on ${\epsilon }_K$ with lattice QCD inputs
• Prospects for Rare Decays at Belle II
• Radiative and EW Penguin $B$ Decays at Belle

Cited by in corpus (24)

• Physics Beyond Colliders at CERN: Beyond the Standard Model Working Group Report
• On the Importance of NNLO QCD and Isospin-breaking Corrections in ${\epsilon }^{\prime }/\epsilon$
• Search for $K_L\to {\pi }^0\nu \overline{\nu }$ and $K_L\to {\pi }^0{X}^0$ Decays at the J-PARC KOTO Experiment
• Explaining $(g-2{)}_{\mu ,e}$, the KOTO anomaly and the MiniBooNE excess in an extended Higgs model with sterile neutrinos
• Direct CP violation in $K^0\to \pi \pi$: Standard Model Status
• Correlating ${\epsilon }^{\prime }/\epsilon$ to hadronic $B$ decays via $U(2{)}^3$ flavour symmetry
• Anatomy of ${\epsilon }^{\prime }/\epsilon$ beyond the Standard Model
• Isospin-Violating Contributions to ${\epsilon }^{\prime }/\epsilon$
• Implications for new physics from a novel puzzle in ${\bar{B}}_{(s)}^0\to D_{(s)}^{(\ast )+}\{{\pi }^{-},K^{-}\}$ decays
• BSM Hadronic Matrix Elements for ${\epsilon }^{\prime }/\epsilon$ and $K\to \pi \pi$ Decays in the Dual QCD Approach
• $K\to {\mu }^{+}{\mu }^{-}$ as a clean probe of short-distance physics
• Measurements of isospin asymmetry and difference of direct $CP$ asymmetries in inclusive $B\to X_s\gamma$ decays
• Simultaneous interpretation of $K$ and $B$ anomalies in terms of chiral-flavorful vectors
• SMEFT top-quark effects on $\Delta F=2$ observables
• Observation of the $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ decay and measurement of its branching ratio
• Effect of the Pauli exclusion principle in the electric dipole moment of ${}^9$Be with $|\Delta S|=1$ interactions
• A Precision Relation between $\Gamma (K\to {\mu }^{+}{\mu }^{-})(t)$ and $\mathcal{B}(K_L\to {\mu }^{+}{\mu }^{-})/\mathcal{B}(K_L\to \gamma \gamma )$
• Probing SUSY effects in $K_S^0\to {\mu }^{+}{\mu }^{-}$
• $K\to {\mu }^{+}{\mu }^{-}$ beyond the standard model
• Exploring the flavour structure of the high-scale MSSM
• The Light Sgoldstino Phenomenology: Explanations for the Muon $(g-2)$ Deviation and KOTO Anomaly
• CP violation in $K\to {\mu }^{+}{\mu }^{-}$ with and without time dependence through a tagged analysis
• Radiative $B$ Decays at Belle
• $K\to {\mu }^{+}{\mu }^{-}$ as a third kaon golden mode