Semileptonic \(B^{-}\to\pi^{+}\pi^{-}\ell^{-}\bar\nu_\ell\) decay with \(\pi\pi\) invariant mass spectrum

BELLE has recently reported the measurement of the branching fraction of the semileptonic \(B^{-}\to\pi^{+}\pi^{-}\ell^{-}\bar\nu_\ell\) decay, where \(\ell\) represents an electron or a muon. With the new information on the \(\pi\pi\) invariant mass spectrum, we extract \(|V_{ub}|=(3.31\pm 0.61)\ti...

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Bibliographic Details
Published inarXiv.org
Main Authors Tsai, Shang-Yuu, Yu-Kuo, Hsiao
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 08.07.2021
Subjects
Decay
Form factors
Invariants
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Summary:BELLE has recently reported the measurement of the branching fraction of the semileptonic \(B^{-}\to\pi^{+}\pi^{-}\ell^{-}\bar\nu_\ell\) decay, where \(\ell\) represents an electron or a muon. With the new information on the \(\pi\pi\) invariant mass spectrum, we extract \(|V_{ub}|=(3.31\pm 0.61)\times 10^{-3}\) in agreement with those from the other exclusive \(B\) decays. In particular, we determine the non-resonant \(B\to\pi\pi\) transition form factors, and predict the non-resonant branching fraction \({\cal B}(B^{-}\to\pi^{+}\pi^{-}\ell^{-}\bar\nu_\ell)=(3.5\pm 1.4^{+4.3}_{-2.4})\times 10^{-5}\), which is accessible to the BELLEII and LHCb experiments.
ISSN:2331-8422