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First extraction of inclusive V_(cb) from q² moments

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arxiv 2205.10274 v1 pith:ETVYCOZL submitted 2022-05-20 hep-ph

First extraction of inclusive V_(cb) from q² moments

classification hep-ph
keywords momentsfirstinclusiveinvariantbelledeterminationmassparameters
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present the first determination of $V_{cb}$ from inclusive $B\to X_c \ell \bar\nu_\ell$ using moments of the dilepton invariant mass, $q^2$. These moments are reparametrization invariant quantities and depend on a reduced set of non-perturbative parameters. This reduced opens a new path to extract these parameters up to $1/m_b^4$ purely from data and thereby reducing the uncertainty on $V_{cb}$. In this paper, we present our first determination of $V_{cb}$ using this method. Combining the recent measurements of $q^2$ moments by Belle and Belle II, our default fit gives $|V_{cb}| = (41.69\pm 0.63)\cdot 10^{-3}$. This results presents an important independent cross check of, and is consistent with, the previous state-of-the-art inclusive determinations using lepton energy and hadronic invariant mass moments.

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