Lattice calculation of the Isgur-Wise functions tau_{1/2} and tau_{3/2} with dynamical quarks

Abstract

We perform a dynamical lattice computation of the Isgur-Wise functions tau_{1/2} and tau_{3/2} at zero recoil. We consider three different light quark masses corresponding to 300 MeV < m_{PS} < 450 MeV, which allow us to extrapolate our results to the physical u/d quark mass. We find tau_{1/2}(1) = 0.296(26) and tau_{3/2}(1) = 0.526(23). Uraltsev's sum rule is saturated up to 80% by the ground state. We discuss implications regarding semileptonic decays B --> X_c l nu and the associated "1/2 versus 3/2" puzzle.

22 pages, 5 figures; v2: reference added; v3: JHEP journal version (minor modifications)

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• Hidden-charm Hexaquarks from Lattice QCD
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• Finite mass corrections for B -> D(*), D** \ell νdecays in the Bakamjian-Thomas relativistic quark model
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