New physics effects on $B\to D^{(\ast )}\ddot{I}„\hat{I}½$ decays

Abstract

We investigate new physics effects on $B\to D^{(\ast )}\ddot{I}„\hat{I}½$ decays in a general and model-independent way. The $\ddot{I}{‡}^2$ fits for fractions of the branching ratios $R(D^{(\ast )})$ 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 $B_c\to \ddot{I}„\hat{I}½$ 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 $\ddot{I}„$ for $B\to D$ transition can be negative only for a few combinations of the new physics operators. We also discuss related processes $B_c\to J/\hat{I}¨\ddot{I}„\hat{I}½$ and $\hat{I}{›}_b\to \hat{I}{›}_c\ddot{I}„\hat{I}½$ decays.

20 pages, 8 figures; more discussions