Left-right mixing on leptonic and semileptonic $b\to u$ decays

Abstract

It has been known that there exists a disagreement emerged between the determination of $|V_{ub}|$ from inclusive $B\to X_u\ell \nu$ decays and exclusive $B\to \pi \ell \nu$ decays. In order to solve the mismatch, we investigate the left-right (LR) mixing effects, denoted by ${\xi }_u$, in leptonic and semileptonic $b\to u$ decays. We find that the new interactions $(V+A)\times (V-A)$ induced via the LR mixing can explain the mismatch between the values of $|V_{ub}|$ if Re$({\xi }_u)=-(0.14\pm 0.12)$. Furthermore, we also find that the LR mixing effects can enhance the branching fractions for $B\to \tau \nu$ and $B\to \rho \ell \nu$ decays by 30% and 17%, respectively, while reducing the branching fraction for $B\to \gamma \ell \nu$ decays by 18%.

arXiv comment11 pages, 6 eps figures

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