Variations to the z-Expansion of the Form Factor Describing the Decay of B Mesons

Daniel Simons; Erik Gustafson; Yannick Meurice

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arXiv · 2201.02618

Variations to the z-Expansion of the Form Factor Describing the Decay of B Mesons

Daniel Simons·Erik Gustafson·Yannick Meurice

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Abstract

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 Caprini, Lellouch, and Neubert (CLN) parametrization, the Boyd, Grinstein, and Lebed (BGL) parametrization, and the Bourrely, Caprini, and Lellouch (BCL) parameterization. The form factor is a function of the hadronic recoil variable $w$, and each parameterization contains unique free parameters which are the focus of this work. We test the extrapolations of the form factor by fitting many different subsets of the low $w$ data and then compare the prediction of the fit to the high $w$ data using a $\chi^2$-metric. By only fitting the low $w$ data we are able to examine the stability of extrapolations which will be informative for lattice simulations.

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Daniel Simons, Erik Gustafson, Yannick Meurice. 2022-01-07. Variations to the z-Expansion of the Form Factor Describing the Decay of B Mesons. https://arxiv.org/abs/2201.02618

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