Continuum limit of the leading order HQET form factor in $B_s\to K\ell \nu$ decays

Abstract

We discuss the computation of form factors for semi-leptonic decays of $\mathrm{B}$-, ${\mathrm{B}}_{\mathrm{s}}$- mesons in lattice QCD. Considering in particular the example of the static ${\mathrm{B}}_{\mathrm{s}}$ form factors we demonstrate that after non-perturbative renormalization the continuum limit can be taken with confidence. The resulting precision is of interest for extractions of $V_{\mathrm{ub}}$. The size of the corrections of order $1/m_{\mathrm{b}}$ is just estimated at present but it is expected that their inclusion does not pose significant difficulties.

16 pages, 3 figures; minor corrections and typo fixes, published version

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Cited by in corpus (12)

• $B_s\to K\ell {\nu }_{\ell }$ and $B_{(s)}\to \pi (K){\ell }^{+}{\ell }^{-}$ decays at large recoil and CKM matrix elements
• $B_s\to K\ell \nu$ decay from lattice QCD
• Precision calculations of $B_{d,s}\to \pi ,K$ decay form factors in soft-collinear effective theory
• Exclusive semileptonic $B_s\to K\ell \nu$ decays on the lattice
• Semileptonic and leptonic $B$ decays, circa 2016
• Padé approximants to $B\to \pi \ell {\nu }_{\ell }$ and $B_s\to K\ell {\nu }_{\ell }$ and determination of $|V_{ub}|$
• Investigating the ratio of CKM matrix elements $|V_{ub}|/|V_{cb}|$ from semileptonic decay $B_s^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$ and kaon twist-2 distribution amplitude
• Extraction of bare Form Factors for ${\mathrm{B}}_{\mathrm{s}}\to \mathrm{K}\ell \nu$ Decays in non-perturbative HQET
• Toward accurate form factors for $B$-to-light meson decay from lattice QCD
• Matching the B-meson quasidistribution amplitude in the RI/MOM scheme
• Lattice QCD: Flavor Physics and Spectroscopy
• HQET form factors for $B_s\to K\ell \nu$ decays beyond leading order