Lepton Flavor Violation in B Decays?

Abstract

The LHCb Collaboration's measurement of R_K = B(B+ -> K+ mu+ mu-)/B(B+ -> K+ e+e-) lies 2.6 sigma below the Standard Model prediction. Several groups suggest this deficit to result from new lepton non-universal interactions of muons. But non-universal leptonic interactions imply lepton flavor violation in B decays at rates much larger than are expected in the Standard Model. A simple model shows that these rates could lie just below current limits. An interesting consequence of our model, that B(B_s -> mu+ mu-)_{exp}/B(B_s -> mu+ mu-)_{SM} = R_K = 0.75, is compatible with recent measurements of these rates. We stress the importance of searches for lepton flavor violations, especially for B -> K mu e, K mu tau and B_s -> mu e, mu tau.

8 pages. Discussion of P'5 added; some discussion sharpened; discussion of decays with tau's modified; references added

References in corpus (10)

• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• Flavour physics of leptons and dipole moments
• Angular Distributions of B -> K ll Decays
• $R_K$ and future $b\to s\ell \ell$ BSM opportunities
• $SU(2)\times U(1)$ gauge invariance and the shape of new physics in rare $B$ decays
• Hint of Lepton Flavour Non-Universality in $B$ Meson Decays
• Global fits to b -> s ll data and signs for lepton non-universality
• Explaining the Lepton Non-universality at the LHCb and CMS from a Unified Framework
• Challenges for New Physics in the Flavour Sector

Cited by in corpus (32)

• B-physics anomalies: a guide to combined explanations
• Explaining $h\to {\mu }^{\pm }{\tau }^{\mp }$, $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ and $B\to K{\mu }^{+}{\mu }^{-}/B\to K{e}^{+}{e}^{-}$ in a two-Higgs-doublet model with gauged $L_{\mu }-L_{\tau }$
• Simultaneous Explanation of the $R_K$ and $R(D^{(\ast )})$ Puzzles
• Explaining Dark Matter and $B$ Decay Anomalies with an $L_{\mu }-L_{\tau }$ Model
• Family non-universal Z' models with protected flavor-changing interactions
• Simultaneous Explanation of the $R_K$ and $R_{D^{(\ast )}}$ Puzzles: a Model Analysis
• Leptoquark Flavor Patterns & B Decay Anomalies
• Phenomenology of an $SU(2)\times SU(2)\times U(1)$ model with lepton-flavour non-universality
• Scalar leptoquarks and the rare B meson decays
• The role of the $S_3$ GUT leptoquark in flavor universality and collider searches
• Consequences of R-Parity violating interactions for anomalies in $\bar{B}\to D^{(\ast )}\tau \bar{\nu }$ and $b\to s{\mu }^{+}{\mu }^{-}$
• Minimal unified resolution to $R_{K^{(\ast )}}$ and $R(D^{(\ast )})$ anomalies with lepton mixing
• Neutrino mixing and $R_K$ anomaly in $U(1{)}_X$ models: a bottom-up approach
• Flavourful $Z^{\prime }$ models for $R_{K^{(\ast )}}$
• Probing Lepton Flavour Universality with $K\to \pi \nu \bar{\nu }$ decays
• Flavor Anomalies in Heavy Quark Decays
• Explanation of $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ and muon $g-2$, and implications at the LHC
• Time dependence in $B\to V\ell \ell$ decays
• Rare semileptonic $B\to K(\pi )l_i^{-}{l}_j^{+}$ decay in vector leptoquark model
• Reconciling dark matter, $R_{K^{(\ast )}}$ anomalies and $(g-2{)}_{\mu }$ in an $L_{\mu }-L_{\tau }$ scenario
• Implications of $b\to s\mu \mu$ Anomalies for Future Measurements of $B\to K^{(\ast )}\nu \bar{\nu }$ and $K\to \pi \nu \bar{\nu }$
• $R_K$ anomalies and simplified limits on $Z^{\prime }$ models at the LHC
• Bs to mu mu gamma from Bs to mu mu
• Origin of Yukawa couplings for Higgs and leptoquarks
• Impact of lepton flavour universality violation on CP violation sensitivity of long baseline neutrino oscillation experiments
• Rare radiative leptonic B-decays
• $R_{K^{(\ast )}}$ anomaly in type-III 2HDM
• Signs for new physics in the recent LHCb data?
• Single Leptoquark Solutions to the $B$-physics Anomalies
• Prospects for rare B decays at Belle II
• Search for Lepton Flavor Violation in ${\rm Y}(3S)\to e^{\pm }{\mu }^{\mp }$
• New Physics Hints from Flavour