PoS - Proceedings of Science
Volume 334 - The 36th Annual International Symposium on Lattice Field Theory (LATTICE2018) - Weak Decays and Matrix Elements
Heavy quark scaling of $B \to \pi \ell \nu$ form factors with Möbius domain wall fermions
B. Colquhoun*, S. Hashimoto and T. Kaneko
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Published on: May 29, 2019
We report on the progress of our calculation of form factors for the exclusive semileptonic decay of $B$ mesons to pions on $2+1$ flavour lattices with spacings from $0.080~\mathrm{fm}$ down to $0.044~\mathrm{fm}$. Using the Mobius domain wall fermion action for all quarks, we simulate pions with masses down to $230~\mathrm{MeV}$ and extrapolate to the physical bottom quark mass by utilizing a range of heavy quark masses up to $2.44$ times the mass of the charm quark. We discuss the dependence on the pion mass, heavy quark mass and lattice spacing in our form factors results.
DOI: https://doi.org/10.22323/1.334.0274
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