Optimal-observable analysis of possible new physics inB→D(*)τντ
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Abstract
We study all possible observables in $B\ensuremath{\rightarrow}{D}^{(*)}\ensuremath{\tau}{\ensuremath{\nu}}_{\ensuremath{\tau}}$ with new physics (NP), including new vector, scalar and tensor interactions, and investigate the prospects of extracting NP Wilson coefficients with optimal observables. The analysis shows that, overall, the full ${q}^{2}$ integrated observables in $B\ensuremath{\rightarrow}D\ensuremath{\tau}{\ensuremath{\nu}}_{\ensuremath{\tau}}$ are more sensitive towards the scalar current, whereas the bin-by-bin analysis of ${q}^{2}$ distribution of the differential branching fraction points to regions of ${q}^{2}$ sensitive to tensor interactions. Interestingly, the observables in $B\ensuremath{\rightarrow}{D}^{*}\ensuremath{\tau}{\ensuremath{\nu}}_{\ensuremath{\tau}}$ are more sensitive to tensor interactions, and bin-by-bin analysis of this mode shows the distinct regions of ${q}^{2}$ sensitive to vector or scalar interactions. In addition to that, the $\ensuremath{\tau}$ polarization asymmetry is found to be more sensitive to NP compared to the other observables, in both decay modes.
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