# The 35th International Symposium on Lattice Field Theory

18-24 June 2017
Palacio de Congresos
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# Contribution Parallel

Andalucía I
Weak Decays and Matrix Elements

# $B \rightarrow \pi\ell\nu$ with M\"{o}bius Domain Wall Fermions

## Speakers

• Dr. Brian COLQUHOUN

## Content

We report on the status of our calculation of the exclusive semileptonic decay, $B \rightarrow \pi\ell\nu$; a key process in the determination of the CKM matrix element $V_{ub}$. The M\"{o}bius 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: $a\approx0.08~\mathrm{fm}$, $a\approx0.055~\mathrm{fm}$, and $a\approx0.044~\mathrm{fm}$. Pion masses go down to $300~\mathrm{MeV}$ 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.