On the Standard Model predictions for $R_K$ and $R_{K^{\ast }}$

Abstract

We evaluate the impact of radiative corrections in the ratios $\Gamma [B\to M{\mu }^{+}{\mu }^{-}]/\Gamma [B\to M{e}^{+}{e}^{-}]$ when the meson $M$ is a $K$ or a $K^{\ast }$. Employing the cuts on $m_{\ell \ell }^2$ and the reconstructed $B$-meson mass presently applied by the LHCb Collaboration, such corrections do not exceed a few $\%$. Moreover, their effect is well described (and corrected for) by existing Montecarlo codes. Our analysis reinforces the interest of these observables as clean probe of physics beyond the Standard Model.

arXiv comment6 pages [v3: Added Note on SM predictions for RK* in the low q2 region]

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• Constraints on lepton-flavor mixing with third-generation new physics
• Recent progress in decays of $b$ and $c$ hadrons
• Addressing the $R_{\tau /\mu ,e}\left(D^{(\ast )}\right)$ puzzle through New Physics four-fermion operators and their impact on ${\Lambda }_b\to {\Lambda }_c\tau {\bar{\nu }}_{\tau }$ decay
• Summary of the CKM 2016 working group on rare decays
• Fermiophobic $Z^{\prime }$ model for simultaneously explaining the muon anomalies $R_{K^{(\ast )}}$ and $(g-2{)}_{\mu }$
• QED factorization of two-body non-leptonic and semi-leptonic $B$ to charm decays
• Universal lepton universality violation in exclusive processes
• Single Leptoquark Solutions to the $B$-physics Anomalies
• Probing new physics effects in ${\Lambda }_b\to \Lambda (\to p{\pi }^{-}){\ell }^{+}{\ell }^{-}$ decay via model independent approach
• Tensions in the flavour sector
• Rare b-hadron decays as probe of new physics
• Round table on Standard Model Anomalies
• Imprints of flavor anomalies on neutrino oscillations through dark matter halo
• Combined analysis of $B_c\to D_s^{(\ast )}{\mu }^{+}{\mu }^{-}$ and $B_c\to D_s^{(\ast )}\nu \bar{\nu }$ decays within $Z^{\prime }$ and leptoquark new physics models
• A $b$-baryon sonata
• Addressing $R_K$ and neutrino mixing in a class of $U(1{)}_X$ models
• Theoretical implications of recent heavy flavour measurements at the LHC
• Explaining the hints for lepton flavour universality violation with three $S_2$ leptoquark generations
• Anomalies in the heavy sector
• Test of lepton flavour universality in $b\to s{\ell }^{+}{\ell }^{-}$ decays
• Rare decays at LHCb
• A flavor-safe composite explanation of $R_K$
• The Angular Observables of ${\Lambda }_b\to {\Lambda }_c(\to {\Lambda }^0{\pi }^{+}){\tau }^{-}(\to {\pi }^{-}{\nu }_{\tau }){\bar{\nu }}_{\tau }$ within the Paradigm of FCCC Anomalies
• The effects of polarization on the observables in the decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}\bar{\ell }{\nu }_{\ell }$
• Probing mixed-state dark matter and flavor observables in a scalar-assisted baryonic gauge theory
• A model to accommodate the $B$-physics anomalies
• Lepton Flavour Universality tests and Lepton Flavour Violation searches at LHCb
• The Simplest B Decay, Precisely
• Polarized and un-polarized ${\mathcal{R}}_{K^{\ast }}$ in and beyond the SM
• Anomalous measurements: recent results deepen flavour puzzle
• New Physics Hints from Flavour