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We examine the decay rate of the particle decay $B^0 \rightarrow D^- \ell^+ \nu_{\ell}$ using data collected from the Belle Collaboration. We studied three parameterizations of the form factor which describe the differential decay rate, the…

High Energy Physics - Phenomenology · Physics 2022-01-11 Daniel Simons , Erik Gustafson , Yannick Meurice

We present an analysis of the exclusive semileptonic decay $B\to D^\ast \ell\bar\nu_\ell$ based on the Belle and Belle II data made public in 2023, combined with recent lattice-QCD calculations of the hadronic transition form factors by…

High Energy Physics - Phenomenology · Physics 2024-06-17 Marzia Bordone , Andreas Juttner

This paper is organized around three main objectives. First, I review in a pedagogical way the unitarity bounds for form factors in $B$-meson decays, together with the parametrizations most commonly used in phenomenological analyses. These…

High Energy Physics - Phenomenology · Physics 2026-05-27 Nico Gubernari

According to heavy-meson chiral perturbation theory, the vector form factor $f_+(q^2)$ of exclusive semi-leptonic decay $B\to \pi \ell \nu$ is closely related, at least in the soft-pion region (i.e., $q^{2} \sim (m_B-m_{\pi})^2$), to the…

High Energy Physics - Phenomenology · Physics 2011-03-22 Xin-Qiang Li , Fang Su , Ya-Dong Yang

A new estimate is presented of the dileptonic $B$ decays $B\to\pi\ell^+\ell^-(\ell=e,\mu,\tau)$ in naive factorization within the standard-model (SM) framework. Using a combination of several approaches, we investigate the behavior of the…

High Energy Physics - Phenomenology · Physics 2014-11-11 Zuo-Hong Li , Zong-Guo Si , Ying Wang , Nan Zhu

In this write-up we review and update our recent lattice QCD calculation of $B \to K^*$, $B_s \to \phi$, and $B_s \to K^*$ form factors [arXiv:1310.3722]. These unquenched calculations, performed in the low-recoil kinematic regime, provide…

High Energy Physics - Lattice · Physics 2015-04-07 R. R. Horgan , Z. Liu , S. Meinel , M. Wingate

We introduce a new parameterization of $B\rightarrow D \pi \ell \nu$ form factors using a partial-wave expansion and derive bounds on the series coefficients using analyticity and unitarity. This is the first generalization of the…

High Energy Physics - Phenomenology · Physics 2024-10-22 Erik J. Gustafson , Florian Herren , Ruth S. Van de Water , Raynette van Tonder , Michael L. Wagman

We propose a new parametrization of the $B\to\pi$ vector form factor, $f_+(q^2)$, as an expansion in powers of a conformal mapping variable, which satisfies unitarity, analyticity and perturbative QCD scaling. The unitarity constraint is…

High Energy Physics - Phenomenology · Physics 2010-12-23 Claude Bourrely , Irinel Caprini , Laurent Lellouch

We construct model-independent parametrizations of the individual QCD form factors relevant to Lambda_b --> Lambda_c l nu decays. These results follow from dispersion relations and analyticity, and incorporate an improvement in the…

High Energy Physics - Phenomenology · Physics 2008-02-03 C. Glenn Boyd , Richard F. Lebed

We describe the form factors for B to rho lepton neutrino and B to K* gamma decays with just two parameters and the two form factors for B to pi lepton neutrino with a further two or three parameters. The parametrizations are consistent…

High Energy Physics - Lattice · Physics 2011-07-19 UKQCD Collaboration , Luigi Del Debbio , Jonathan M. Flynn , Laurent Lellouch , Juan Nieves

We revisit QCD factorization of $B\to \pi\pi$ form factors at large dipion masses, by deriving new constraints based on the analyticity properties of these objects. We then propose a parametrization of the form factors, inspired by the…

High Energy Physics - Phenomenology · Physics 2018-11-14 Thorsten Feldmann , Danny van Dyk , K. Keri Vos

The rare decays $B^0 \to K^{*0} \mu^+ \mu^-$ and $B_s \to \phi \mu^+ \mu^-$ are now being observed with enough precision to test Standard Model predictions. A full understanding of these decays requires accurate determinations of the…

High Energy Physics - Lattice · Physics 2014-05-08 Ronald R. Horgan , Zhaofeng Liu , Stefan Meinel , Matthew Wingate

We describe the form factors for semileptonic B to rho l nu and radiative B to K* gamma decays with just two parameters and the two form factors for semileptonic B to pi l nu decays with three parameters. The parametrizations are…

High Energy Physics - Lattice · Physics 2015-06-25 UKQCD Collaboration , L Del Debbio , J M Flynn , L Lellouch , J Nieves

Semi-leptonic $B$ decays provide promising channels to test the Standard Model, search for signs of new physics, or determine fundamental parameters like CKM matrix elements. We present an update on our calculation of short distance…

Motivated by the recent measurements of non-leptonic $\bar{B}_s^0$ decays by CDF and LHCb collaborations, especially the large ${\cal B}(\bar{B}_s^0\to\pi^+\pi^-)$, we revisit the hard spectator and annihilation corrections in $\bar{B}_s^0$…

High Energy Physics - Phenomenology · Physics 2012-10-10 Qin Chang , Xiao-Wei Cui , Lin Han , Ya-Dong Yang

We discuss the self-consistency imposed by the analyticity of regular parts of form factors, appearing in the $z$-expansion for semileptonic $B$-meson decays, when fitted in different kinematic regions. Relying on the uniqueness of…

High Energy Physics - Phenomenology · Physics 2023-05-12 Daniel Simons , Erik Gustafson , Yannick Meurice

We compute the form factors for the $B \to Kl^+l^-$ semileptonic decay process in lattice QCD using gauge-field ensembles with 2+1 flavors of sea quark, generated by the MILC Collaboration. The ensembles span lattice spacings from 0.12 to…

Lattice calculation of $B\to D^{(*)}\ell\bar\nu$ decay form factors is now available from multiple lattice collaborations for both zero-recoil limit and non-zero recoil kinematics. Yet, there are a number of challenges we face to better…

High Energy Physics - Lattice · Physics 2024-06-10 Shoji Hashimoto

Recent experimental measurements and lattice QCD calculations are now reaching the precision (and accuracy) needed to over-constrain the CKM parameters $\bar\rho$ and $\bar\eta$. In this brief review, I discuss the current status of lattice…

High Energy Physics - Phenomenology · Physics 2009-11-11 Matthew Wingate

We present precision corrections to dispersion relation bounds on form factors in bottom hadron semileptonic decays and analyze their effects on parameterizations derived from these bounds. We incorporate QCD two-loop and nonperturbative…

High Energy Physics - Phenomenology · Physics 2009-10-30 C. Glenn Boyd , Benjamin Grinstein , Richard F. Lebed
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