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Semileptonic Btoπellν, Bto Dellν, B_sto Kellν, and B_sto D_sellν decays

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arxiv 1912.09946 v1 pith:M7ZN6SVQ submitted 2019-12-20 hep-lat

Semileptonic Btoπellν, Bto Dellν, B_sto Kellν, and B_sto D_sellν decays

classification hep-lat
keywords factorsformdecayslatticeobtainquarkssemileptonicaction
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present updates for our nonperturbative lattice QCD calculations to determine semileptonic form factors for exclusive $B\to \pi\ell\nu$, $B\to D \ell\nu$, $B_s\to K\ell \nu$, and $B_s\to D_s\ell\nu$ decays. Our calculation is based on RBC-UKQCD's set of $2+1$-dynamical-flavor gauge field ensembles. In the valence sector we use domain wall fermions for up/down, strange and charm quarks, whereas bottom quarks are simulated with the relativistic heavy quark action. The continuum limit is based on three lattice spacings. Using kinematical $z$ expansions we aim to obtain form factors over the full $q^2$ range. These form factors are the basis for predicting ratios addressing lepton flavor universality or, when combined with experimental results, to obtain CKM matrix elements $|V_{ub}|$ and $|V_{cb}|$.

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