Yukawa enhancement of $Z$-mediated New Physics in $\Delta S=2$ and $\Delta B=2$ Processes

Abstract

We discuss Yukawa-enhanced contributions from $Z$-mediated new physics to down-type quark $\Delta F=2$ processes in the framework of the standard model gauge-invariant effective theory (SMEFT). Besides the renormalization group (RG) mixing of the $Z$-mediating ${\psi }^2{H}^{2}D$ operators into $\Delta F=2$ operators, we include at the electroweak scale one-loop (NLO) matching corrections consistently, necessary for the removal of the matching scale dependence. We point out that the right-handed $Z$-mediated interactions generate through Yukawa RG mixing $\Delta F=2$ left-right operators, which are further enhanced through QCD RG effects and chirally enhanced hadronic matrix elements. We investigate the impact of these new effects on the known correlations between $\Delta F=2$ and $\Delta F=1$ transitions in the SMEFT framework and point out qualitative differences to previous parameterizations of $Z$-mediated new physics that arise for the left-handed case. We illustrate how specific models fit into our model-independent framework by using four models with vector-like quarks. We carry out model-independent analyses of scenarios with purely left-handed and purely right-handed new-physics $Z$ couplings for each of the three sectors $s\to d$, $b\to s$ and $b\to d$. Specifically we discuss the correlations between ${\epsilon }^{\prime }/\epsilon$, ${\epsilon }_K$, $K_L\to {\mu }^{+}{\mu }^{-}$ $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ and $K_L\to {\pi }^0\nu \bar{\nu }$ in the Kaon sector, and ${\varphi }_s$, $B_s\to {\mu }^{+}{\mu }^{-}$ and $B\to K^{(\ast )}({\mu }^{+}{\mu }^{-},\nu \bar{\nu })$ in the $b\to s$ sector and $B_d\to {\mu }^{+}{\mu }^{-}$ in the $b\to d$ sector.

40 pages, 11 figures; v2: 2nd plot in figure 2 and references added, comparison with v2 of 1612.08839, conclusion unchanged; v3: improvements on text and presentation, matches published version

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• $SU(2)\times U(1)$ gauge invariance and the shape of new physics in rare $B$ decays
• Precise Measurements of Direct CP Violation, CPT Symmetry, and Other Parameters in the Neutral Kaon System
• Right-handed charged currents in the era of the Large Hadron Collider
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Cited by in corpus (40)

• On the Importance of NNLO QCD and Isospin-breaking Corrections in ${\epsilon }^{\prime }/\epsilon$
• $\Delta M_s$ theory precision confronts flavour anomalies
• New Physics in $b\to s{\ell }^{+}{\ell }^{-}$ confronts new data on Lepton Universality
• Direct $CP$ Violation in $K\to {\mu }^{+}{\mu }^{-}$
• Revisiting Kaon Physics in General $Z$ Scenario
• 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
• Gluino-mediated electroweak penguin with flavor-violating trilinear couplings
• The CKM parameters in the SMEFT
• Top and Beauty synergies in SMEFT-fits at present and future colliders
• Model-independent Bounds on the Standard Model Effective Theory from Flavour Physics
• A clockwork solution to the flavor puzzle
• 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
• More Synergies from Beauty, Top, $Z$ and Drell-Yan Measurements in SMEFT
• Anatomy of ${\epsilon }^{\prime }/\epsilon$ beyond the Standard Model
• Analytic inclusion of the scale dependence of the anomalous dimension matrix in Standard Model Effective Theory
• Isospin-Violating Contributions to ${\epsilon }^{\prime }/\epsilon$
• Left-handed color-sextet diquark in the Kaon system
• Matching for FCNC effects in the flavour-symmetric SMEFT
• Towards A UV-Model of Kinetic Mixing and Portal Matter
• 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
• ${\epsilon }_K^{\prime }/{\epsilon }_K$ and $K\to \pi \nu \bar{\nu }$ in a two-Higgs doublet model
• $B$ anomalies under the lens of electroweak precision
• NLO QCD Renormalization Group Evolution for Non-Leptonic $\Delta F=2$ Transitions in the SMEFT
• SMEFT top-quark effects on $\Delta F=2$ observables
• Dimension-8 SMEFT Matching Conditions for the Low-Energy Effective Field Theory
• The direct CP violation in a general two Higgs doublet model
• Flavour Violating Effects of Yukawa Running in SMEFT
• ${\epsilon }_K$ and ${\epsilon }^{\prime }/\epsilon$ in a diquark model
• Another SMEFT Story: $Z^{\prime }$ Facing New Results on ${\epsilon }^{\prime }/\epsilon$, $\Delta M_K$ and $K\to \pi \nu \bar{\nu }$
• Updated Standard Model Prediction for ${\epsilon }^{\prime }/\epsilon$
• Theoretical point of view on Cabibbo angle anomaly
• Top-quark flavor-changing $tqZ$ couplings and rare $\Delta F=1$ processes
• Vector-like quark doublets, weak-basis invariants and CP violation
• Master formula for one-loop renormalization of bosonic SMEFT operators
• General non-leptonic $\Delta F=1$ WET at the NLO in QCD