Renormalization-group evolution of new physics contributions to (semi)leptonic meson decays

Abstract

We study the renormalization group evolution (RGE) of new physics contributions to (semi)leptonic charged-current meson decays, focusing on operators involving a chirality flip at the quark level. We calculate their evolution under electroweak and electromagnetic interactions, including also the three-loop QCD running and provide numerical formulas that allow us to connect the values of the corresponding Wilson coefficients from scales at the TeV to the low-energy scales. The large mixing of the tensor operator into the (pseudo)scalar ones has important phenomenological implications, such as the RGE of new physics bounds obtained from light quark decays or in $b\to c\ell \nu$ transitions. For instance, we study scenarios involving tensor effective operators, which have been proposed in the literature to address the $B$-decay anomalies, most notably those concerning the $R_{D^{(\ast )}}$ ratios. We conclude that the loop effects are important and should be taken into account in the analysis of these processes, especially if the operators are generated at an energy scale of $\sim 1$ TeV or higher.

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• Measurement of the branching ratio of ${\bar{B}}^0\to D^{\ast +}{\tau }^{-}{\bar{\nu }}_{\tau }$ relative to ${\bar{B}}^0\to D^{\ast +}{\ell }^{-}{\bar{\nu }}_{\ell }$ decays with a semileptonic tagging method
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• The Standard Model prediction for R_{e/mu}^{(pi,K)}
• Lepton universality violation and lepton flavor conservation in $B$-meson decays
• B-meson decay constants: a more complete picture from full lattice QCD
• The Azimuthal $B\to D^{\ast }{\tau }^{-}\overline{{\nu }_{\tau }}$ Angular Distribution with Tensor Operators
• Probing New Physics with $q^2$ distributions in $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$
• Probing new physics in ${\bar{B}}^0\to D^{(\ast )}{\tau }^{-}{\bar{\nu }}_{\tau }$ using the longitudinal, transverse, and normal polarization components of the tau lepton
• Tension in the inclusive versus exclusive determinations of $|V_{cb}|$: a possible role of new physics
• Measurement of the $\tau$ lepton polarization in the decay $\bar{B}\to D^{\ast }{\tau }^{-}{\bar{\nu }}_{\tau }$

Cited by in corpus (16)

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• Reactor neutrino oscillations as constraints on Effective Field Theory
• EFT at FASER$\nu$
• Effective-field theory analysis of the ${\tau }^{-}\to (K\pi {)}^{-}{\nu }_{\tau }$ decays
• Revival of $H^{-}$ interpretation of $R_{D^{(\ast )}}$ anomaly and closing low mass window
• The measurable angular distribution of ${\Lambda }_b^0\to {\Lambda }_c^{+}(\to {\Lambda }^0{\pi }^{+}){\tau }^{-}(\to {\pi }^{-}{\nu }_{\tau }){\bar{\nu }}_{\tau }$ decay
• Coup de grace to the charged Higgs solution of $P_5^{\prime }$ and $R_{D^{(\ast )}}$ discrepancies
• Non-standard interactions in SMEFT confronted with terrestrial neutrino experiments
• Effective-field theory analysis of the ${\tau }^{-}\to K^{-}({\eta }^{(\prime )},K^0){\nu }_{\tau }$ decays
• Tension between $e^{+}{e}^{-}\to \eta {\pi }^{-}{\pi }^{+}$ and ${\tau }^{-}\to \eta {\pi }^{-}{\pi }^0{\nu }_{\tau }$ data and non-standard interactions
• Semileptonic $\tau$ decays: powerful probes of non-standard charged current weak interactions
• A new generation of simultaneous fits to LHC data using deep learning
• Explaining lepton-flavor non-universality and self-interacting dark matter with $L_{\mu }-L_{\tau }$