New physics in inclusive semileptonic $B$ decays including nonperturbative corrections

Abstract

In this work we study the effects of New Physics (NP) operators on the inclusive $\bar{B}\to X_c{\tau }^{-}{\bar{\nu }}_{\tau }$ decay including power $(\mathcal{O}(1/m_b^2))$ corrections in the NP operators. In analogy with $R(D^{(\ast )})$ observables, we study the observable $R(X_c)=\frac{\mathcal{B}(\bar{B}\to X_c{\tau }^{-}{\bar{\nu }}_{\tau })}{\mathcal{B}(\bar{B}\to X_c{\ell }^{-}{\bar{\nu }}_{\ell })}$. We present some numerical results for $R(X_c)$ and compare the results for this observable with and without power corrections in the NP contributions.

Comments: 17 pages, 5 figures. Matches published version in IJMPA