Revisiting Kaon Physics in General $Z$ Scenario

Abstract

New physics contributions to the $Z$ penguin are revisited in the light of the recently-reported discrepancy of the direct CP violation in $K\to \pi \pi$. Interference effects between the standard model and new physics contributions to $\Delta S=2$ observables are taken into account. Although the effects are overlooked in the literature, they make experimental bounds significantly severer. It is shown that the new physics contributions must be tuned to enhance $\mathcal{B}(K_L\to {\pi }^0\nu \bar{\nu })$, if the discrepancy of the direct CP violation is explained with satisfying the experimental constraints. The branching ratio can be as large as $6\times 10^{-10}$ when the contributions are tuned at the 10 % level.

18 pages, 6 figures; v2: references added, some contributions included in light of gauge invariance; v3: to be published in Phys. Lett. B

References in corpus (11)

• Current status of the Standard Model CKM fit and constraints on $\Delta F=2$ New Physics
• Delta F=2 Observables and Fine-Tuning in a Warped Extra Dimension with Custodial Protection
• Rare K and B Decays in a Warped Extra Dimension with Custodial Protection
• 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
• $K_L-K_S$ mass difference from lattice QCD
• Yukawa enhancement of $Z$-mediated New Physics in $\Delta S=2$ and $\Delta B=2$ Processes
• An ${\epsilon }^{\prime }$ improvement from right-handed currents
• 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
• Delta I=1/2 Rule, epsilon'/epsilon and K -> pi nu nubar in Z'(Z) and G' Models with FCNC Quark Couplings

Cited by in corpus (33)

• Physics Beyond Colliders at CERN: Beyond the Standard Model Working Group Report
• On the Importance of NNLO QCD and Isospin-breaking Corrections in ${\epsilon }^{\prime }/\epsilon$
• Direct $CP$ Violation in $K\to {\mu }^{+}{\mu }^{-}$
• Yukawa enhancement of $Z$-mediated New Physics in $\Delta S=2$ and $\Delta B=2$ Processes
• Direct CP violation in $K^0\to \pi \pi$: Standard Model Status
• Leptoquarks meet ${\epsilon }^{\prime }/\epsilon$ and rare Kaon processes
• Master formula for ${\epsilon }^{\prime }/\epsilon$ beyond the Standard Model
• $Z^{\prime }$ models with less-minimal flavour violation
• Gluino-mediated electroweak penguin with flavor-violating trilinear couplings
• Model-independent Bounds on the Standard Model Effective Theory from Flavour Physics
• ${\epsilon }^{\prime }/\epsilon$ from charged-Higgs-induced gluonic dipole operators
• Correlating ${\epsilon }^{\prime }/\epsilon$ to hadronic $B$ decays via $U(2{)}^3$ flavour symmetry
• Global Fit of Modified Quark Couplings to EW Gauge Bosons and Vector-Like Quarks in Light of the Cabibbo Angle Anomaly
• Anatomy of ${\epsilon }^{\prime }/\epsilon$ beyond the Standard Model
• Isospin-Violating Contributions to ${\epsilon }^{\prime }/\epsilon$
• $K\to \pi \nu \overline{\nu }$ in the MSSM in Light of the ${\epsilon }_K^{\prime }/{\epsilon }_K$ Anomaly
• Left-handed color-sextet diquark in the Kaon system
• BSM Hadronic Matrix Elements for ${\epsilon }^{\prime }/\epsilon$ and $K\to \pi \pi$ Decays in the Dual QCD Approach
• Emerging $\Delta M_d$-Anomaly from Tree-Level Determinations of $|V_{cb}|$ and the Angle $\gamma$
• $K\to {\mu }^{+}{\mu }^{-}$ as a clean probe of short-distance physics
• Simultaneous interpretation of $K$ and $B$ anomalies in terms of chiral-flavorful vectors
• ${\epsilon }_K^{\prime }/{\epsilon }_K$ and $K\to \pi \nu \bar{\nu }$ in a two-Higgs doublet model
• ${\epsilon }^{\prime }/\epsilon$ Anomaly and Neutron EDM in $SU(2{)}_L\times SU(2{)}_R\times U(1{)}_{B-L}$ model with Charge Symmetry
• SMEFT ATLAS of $\Delta F=2$ Transitions
• SMEFT top-quark effects on $\Delta F=2$ observables
• The direct CP violation in a general two Higgs doublet model
• Observation of the $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ decay and measurement of its branching ratio
• ${\epsilon }_K$ and ${\epsilon }^{\prime }/\epsilon$ in a diquark model
• Direct CP Violation in Cabibbo-Favored Charmed Meson Decays and ${\epsilon }^{\prime }/\epsilon$ in $SU(2{)}_L\times SU(2{)}_R\times U(1{)}_{B-L}$ Model
• A comprehensive study of vector leptoquark with $U(1{)}_{B_3-L_2}$ on the $B$-meson and Muon g-2 anomalies
• Updated Standard Model Prediction for ${\epsilon }^{\prime }/\epsilon$
• Top-quark flavor-changing $tqZ$ couplings and rare $\Delta F=1$ processes
• Theoretical point of view on Cabibbo angle anomaly