Determining the Efficacy of different parameterizations of the z-expansion
E. Gustafson* and Y. Meurice
May 29, 2019
We develop a methodology to test the accuracy of lattice extrapolations of the form factors in B decays only using experimental data. We test this methodology by comparing the BGL parameterization proposed by Boyd, Grinstein, and Lebed and the BCL parameterization proposed by Bourrely, Caprini, and Lellouch in the context of $B \rightarrow \pi \ell \nu$. Our results suggest that the BCL parameterization is a slightly better predictor of the low $q^2$ region than the BGL parameterization and that this methodology can be extended to other decays such as $B\rightarrow D\ell \nu$.
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