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Inclusive semi-leptonic B meson decay structure functions from lattice QCD

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arxiv 1703.01881 v1 pith:AZ3YHGUG submitted 2017-03-06 hep-lat hep-exhep-ph

classification hep-lathep-exhep-ph
keywords functionslatticemesonquarkdecayinclusivemassnumerical
verification ladder T0 review T1 audit T2 compute T3 formal
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We propose a method to non-perturbatively calculate the forward-scattering matrix elements relevant to inclusive semi-leptonic B meson decays. Corresponding hadronic structure functions at unphysical kinematics are accessible through lattice QCD calculation of four-point correlation functions. The unphysical kinematical point may be reached by analytic continuation from the physical differential decay rate. A numerical test is performed for the B_s -> X_c l nu mode in the zero-recoil limit. We use lattice ensembles generated with 2+1 dynamical quark flavors. The valence charm quark mass is tuned to its physical value, while the bottom quark mass is varied in the range (1.56-2.44)m_c. From the numerical results we can identify the contributions of the ground state D_s^(*) meson as well as those of excited states or continuum states.

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Cited by 5 Pith papers

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