New physics effects on $B\to D^{(*)}\tau\nu$ decays

Abstract

We investigate new physics effects on $B\to D^{(*)}\tau\nu$ decays in a general and model-independent way. The $\chi^2$ fits for fractions of the branching ratios $R(D^{(*)})$ and other polarization parameters are implemented. We parameterize the relevant Wilson coefficients with a new physics scale and its power together with combined fermionic couplings. Constraints from $B_c\to\tau\nu$ are imposed such that its branching ratio is less than 30%. For a moderate range of our parameters we find that the new physics scale goes up to $\lesssim 27$ TeV for ordinary new particle contributions. It turns out that the polarization asymmetry of $\tau$ for $B\to D$ transition can be negative only for a few combinations of the new physics operators. We also discuss related processes $B_c\to J/\Psi\tau\nu$ and $\Lambda_b\to\Lambda_c\tau\nu$ decays.