Measurement of Differential Branching Fractions of Inclusive $B\to X_u{\ell }^{+}{\nu }_{\ell }$ Decays

Abstract

The first measurements of differential branching fractions of inclusive semileptonic $B\to X_u{\ell }^{+}{\nu }_{\ell }$ decays are performed using the full Belle data set of 711 fb${}^{-1}$ of integrated luminosity at the ${\rm Y}(4S)$ resonance and for $\ell =e,\mu$. Differential branching fractions are reported as a function of the lepton momentum, the four-momentum-transfer squared, light-cone momenta, the hadronic mass, and the hadronic mass squared. They are obtained by subtracting the backgrounds from semileptonic $B\to X_c{\ell }^{+}{\nu }_{\ell }$ decays and other processes, and corrected for resolution and acceptance effects. The measured distributions are compared to predictions from inclusive and hybrid $B\to X_u{\ell }^{+}{\nu }_{\ell }$ calculations.

24 pages, 12 captioned figures, including supplemental material. Accepted by Phys. Rev. Lett

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• On magnitudes of some CKM matrix elements
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