PoS - Proceedings of Science
Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Semileptonic decays $B_{(s)} \to D_{(s)}^{(\ast)} \ell \nu$ form factors using the OK action
S. Jwa,* Y.C. Jang, S. Park, T. Bhattacharya, R. Gupta, B.J. Choi, S. Lee, W. Lee, J. Leem, L.s. Collaboration
*corresponding author
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Pre-published on: March 28, 2020
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Abstract
We report recent progress in calculating semileptonic form factors for
the $\bar{B}\to D^{\ast} \ell \bar{\nu}$ and $\bar{B} \to D \ell \bar{\nu}$ decays using the Oktay-Kronfeld (OK) action for bottom and charm quarks. We use the second order in heavy quark effective power counting $\mathcal{O}(\lambda^2)$ improved currents in this work. The HISQ action is used for the light spectator quarks. We analyzed four $2+1+1$-flavor MILC HISQ ensembles with $a\approx
0.09\,\mathrm{fm}$, $0.12\,\mathrm{fm}$ and $M_\pi \approx 220\,\mathrm{MeV}$, $310\,\mathrm{MeV}$: $a09m220$, $a09m310$, $a12m220$, $a12m310$. Preliminary results for $B\to D^\ast\ell\nu$ decays form factor $h_{A_1}(w)$ at zero recoil ($w=1$) are reported. Preliminary results for $B\to D\,\ell\nu$ decays form factors $h_\pm(w)$ over a kinematic range $1<w<1.3$ are reported as well.
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