$R_{K^{(\ast )}}$ and $R(D^{(\ast )})$ anomalies resolved with lepton mixing

Abstract

In a recent paper arXiv:1706.08437, we have advanced a minimal resolution of some of the persistent anomalies in semileptonic $B$-decays. These include the neutral-current observables $R_K$ and $R_{K^{\ast }}$, as well as the charged-current observables $R(D)$ and $R(D^{\ast })$. Recently, it has been observed that the semileptonic decays of the $B_c$ meson also hint at a similar type of anomaly. In this longer version, we discuss in detail why, if the anomalies are indeed there, it is a challenging task to explain the data consistently in terms of a simple and compelling new physics scenario. We find that the minimal scheme to achieve a reasonable fit involves the inclusion of just two (or, at worst, three with a possible symmetry relationship between their Wilson coefficients) new current-current operators, constructed in terms of the flavour eigenstates, augmented by a change of basis for the charged lepton fields. With only three unknown parameters, this class of models not only explain all the anomalies (including that in $B_c\to J/\psi \ell \nu$) to a satisfactory level but also predict some interesting signatures, like $B\to K\mu \tau$, $B_s\to \tau \tau$, or $B\to K$ plus missing energy, that can be observed at LHCb or Belle-II.

Version accepted in Nuclear Physics B

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Cited by in corpus (17)

• Maximal Flavour Violation: a Cabibbo mechanism for leptoquarks
• Combined Explanations of the $b\to s{\mu }^{+}{\mu }^{-}$ and $b\to c{\tau }^{-}\bar{\nu }$ Anomalies: a General Model Analysis
• Footprints of New Physics in $b\to c\tau \nu$ Transitions
• A frequentist analysis of three right-handed neutrinos with GAMBIT
• $b\to c\tau \nu$ Transitions in the Standard Model Effective Field Theory
• Probing a simplified, $W^{\prime }$ model of $R(D^{(\ast )})$ anomalies using $b$-tags, $\tau$ leptons and missing energy
• Reconciling $B$-decay anomalies with neutrino masses, dark matter and constraints from flavour violation
• A nonunitary interpretation for a single vector leptoquark combined explanation to the $B$-decay anomalies
• Dark matter for $b\to s{\mu }^{+}{\mu }^{-}$ anomaly in a gauged $U(1{)}_X$ model
• Status of Flavour Maximal Non-minimal Universal Extra Dimension
• Charged Higgs boson contribution to $B_q^{-}\to \ell \bar{\nu }$ and $\bar{B}\to (P,V)\ell \bar{\nu }$ in a generic two-Higgs doublet model
• New physics with the lepton flavor violating decay $\tau \to 3\mu$
• The fate of $V_1$ vector leptoquarks: the impact of future flavour data
• Anomalous gauge couplings vis-$\grave{a}$-vis $(g-2{)}_{\mu }$ and flavor observables
• Search for opposite sign muon-tau pair and a b-jet at LHC in the context of flavor anomalies
• Towards constraining triple gluon operators through tops
• Search for an exotic-leptonic solution to observed anomalies in lepton universality observables in B decays and more