B → πℓ ν with Möbius Domain Wall Fermions

2017/10/19 by Colquhoun, Brian, Hashimoto, Shoji, Kaneko, Takashi
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)

paper · doi:10.48550/arxiv.1710.07094

Abstract

We report on the status of our calculation of the exclusive semileptonic decay, B→ πℓ ν; a key process in the determination of the CKM matrix element |V_ub|. The Möbius domain wall action is used for both light and heavy quarks on gauge ensembles that include the effects of 2+1 flavours of quarks in the sea at three values of the lattice spacing: a≈ 0.08~fm, a≈0.055~fm, and a≈0.044~fm. Pion masses go down to 300~MeV while heavy quarks masses are as large as 2.44m_c. We present preliminary results of form factors from this process, showing dependence on momentum transfer, lattice spacing, and the heavy quark mass.

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