5 years ago

Improvement of heavy-heavy current for calculation of $\bar{B}\to D^{(*)}\ell\bar{\nu}$ form factors using Oktay-Kronfeld heavy quarks.

Yong-Chull Jang, Jaehoon Leem, Jon A. Bailey, Weonjong Lee

The CKM matrix element $|V_{cb}|$ can be extracted by combining data from experiments with lattice QCD results for the semileptonic form factors for the $\bar{B}\to D^{(*)} \ell \bar{\nu}$ decays. The Oktay-Kronfeld (OK) action was designed to reduce heavy-quark discretization errors to below $1\%$, or through $\mathcal{O}(\lambda^3)$ in HQET power counting. Here we describe recent progress on bottom-to-charm currents improved to the same order in HQET as the OK action, and correct formerly reported results of our matching calculations, in which the operator basis was incomplete.

Publisher URL: http://arxiv.org/abs/1711.01777

DOI: arXiv:1711.01777v3

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