Looking for possible new physics in B→D(*)τντ in light of recent data

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Abstract

We study the decays $B\ensuremath{\rightarrow}{D}^{(*)}\ensuremath{\tau}{\ensuremath{\nu}}_{\ensuremath{\tau}}$ in light of the available data from BABAR, Belle, and LHCb. We divide our analysis into two parts: in one part we fit the form factors in these decays directly from the data without adding any additional new physics contributions and compare our fit results with those available from the decays $B\ensuremath{\rightarrow}{D}^{(*)}\ensuremath{\ell}{\ensuremath{\nu}}_{\ensuremath{\ell}}$. We find that the ${q}^{2}$ distributions of the form factors associated with the pseudovector current, obtained from $B\ensuremath{\rightarrow}{D}^{(*)}\ensuremath{\tau}{\ensuremath{\nu}}_{\ensuremath{\tau}}$ and $B\ensuremath{\rightarrow}{D}^{(*)}\ensuremath{\ell}{\ensuremath{\nu}}_{\ensuremath{\ell}}$ respectively, do not agree with each other, whereas the other form factors are consistent with each other. In the next part of our analysis, we look for possible new effective operators of dimension 6 amongst new vector, scalar, and tensor types that can best explain the current data in the decays $B\ensuremath{\rightarrow}{D}^{(*)}\ensuremath{\tau}{\ensuremath{\nu}}_{\ensuremath{\tau}}$. We use the information-theoretic approaches, especially of the ``second-order Akaike information criterion'' in the analysis of empirical data. Normality tests for the distribution of residuals are done after selecting the best possible scenarios, for cross validation. We find that it is the contribution from the operator involving left- or right-handed vector current that passes all the selection criteria defined for the best-fit scenario and that can successfully accommodate all the available data sets.

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