Lepton universality violation and right-handed currents in $b \to c \tau \nu$

TL;DR

This paper explores how right-handed currents could explain anomalies in B meson decays involving tau leptons, predicting specific deviations from the Standard Model that are testable at the LHC.

Contribution

It introduces a model with right-handed currents that links recent B decay anomalies and predicts observable effects near 1 TeV mass scale.

Findings

W' mass near 1 TeV compatible with anomalies

R(J/ψ) enhanced by about 20% over SM

Model consistent with B_c lifetime constraints

Abstract

We consider the recent LHCb result for $B_c\to J/\psi \tau \nu$ in conjunction with the existing anomalies in $R(D)$ and $R(D^\star)$ within the framework of a right-handed current with enhanced couplings to the third generation. The model predicts a linear relation between the observables and their SM values in terms of two combinations of parameters. The strong constraints from $b\to s \gamma$ on $W-W^\prime$ mixing effectively remove one of the combinations of parameters resulting in an approximate proportionality between all three observables and their SM values. To accommodate the current averages for $R(D)$ and $R(D^\star)$, the $W^\prime$ mass should be near 1 TeV, and possibly accessible to direct searches at the LHC. In this scenario we find that $R(J/\psi)$ is enhanced by about 20\% with respect to its SM value and about 1.5$\sigma$ below the central value of the LHCb measurement. The predicted $d\Gamma/dq^2$ distribution for $B\to D(D^\star) \tau \nu$ is in agreement with the measurement and the model satisfies the constraint from the $B_c$ lifetime.