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

Abstract

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.

35 pages, 14 figures

References in corpus (4)

• Lattice calculation of the pion transition form factor ${\pi }^0\to {\gamma }^{\ast }{\gamma }^{\ast }$
• Two Photon Decays of Charmonia from Lattice QCD
• Precise predictions for B -> Xc tau nu decay distributions
• Renormalization of domain-wall bilinear operators with short-distance current correlators

Cited by in corpus (14)

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• Form factors of $B\to \pi \ell \nu$ and a determination of $|V_{ub}|$ with Möbius domain-wall-fermions
• $B\to D^{\ast }\ell {\nu }_{\ell }$ semileptonic form factors from lattice QCD with Möbius domain-wall quarks
• A lattice model of heavy-light three-body system
• Approaches to inclusive semileptonic $B_{(s)}$-meson decays from Lattice QCD
• Lattice computation of the Dirac eigenvalue density in the perturbative regime of QCD
• Topological surface states in strained Dirac semimetal thin films
• Towards fully non-perturbative computation of inelastic $\ell N$ scattering cross sections from lattice QCD