Measurement of the Moments of the Photon Energy Spectrum in B -> X_s gamma Decays and Determination of |V_cb| and m_b at Belle

Abstract

Using the previous Belle measurement of the inclusive photon energy in $B\to X_s\gamma$ decays, we determine the first and second moments of this spectrum for minimum photon energies in the $B$ meson rest frame ranging from 1.8 to 2.3 GeV. Combining these measurements with recent Belle data on the lepton energy and hadronic mass moments in $B\to X_c\ell \nu$ decays, we perform fits to theoretical expressions derived in the 1S and kinetic mass schemes and extract the magnitude of the Cabibbo-Kobayashi-Maskawa (CKM) matrix element $V_{cb}$, the $b$-quark mass and other non-perturbative parameters. In the 1S scheme analysis we find $|V_{cb}|=(41.56\pm 0.68(\mathrm{fit})\pm 0.08({\tau }_B))\times 10^{-3}$ and $m_b^{1S}=(4.723\pm 0.055)$ GeV. In the kinetic scheme, we obtain $|V_{cb}|=(41.58\pm 0.69(\mathrm{fit})\pm 0.08({\tau }_B)\pm 0.58(\mathrm{th}))\times 10^{-3}$ and $m_b^{\mathrm{kin}}=(4.543\pm 0.075)$ GeV.

arXiv comment19 pages, 9 figures, 12 tables

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