HQE parameters from unquenched lattice data on pseudoscalar and vector heavy-light meson masses
Dipartimento di Fisica, Università di Torino and INFN Sezione di Torino
2 Departamento de Fisica Teòrica, Universitat de València and IFIC, Universitat de València-CSIC
3 Istituto Nazionale di Fisica Nucleare, Sezione di Roma Tre
* Speaker, e-mail: email@example.com. Acknowledges financial support from “La Caixa-Severo Ochoa” scholarship.
Published online: 26 March 2018
We present a new lattice determination of some of the parameters appearing both in the Operator Product Expansion (OPE) analysis of the inclusive semileptonic B-meson decays and in the Heavy Quark Expansion (HQE) of the pseudoscalar (PS) and vector (V) heavy-light meson masses. We perform a lattice QCD (LQCD) computation of PS and V heavy-light meson masses for heavy-quark masses mh in the range from to ≃ . We employed the Nf = 2 + 1 + 1 gauge configurations of the European Twisted Mass Collaboration (ETMC) at three values of the lattice spacing a ≃ (0.062,0.082,0.089) fm with pion masses in the range Mπ ≃ (210 - 450) MeV. The heavy-quark mass is simulated directly on the lattice up to ≃ . The interpolation to the physical is performed using the ETMC ratio method and adopting the kinetic mass scheme. We obtain (1 GeV) = 4.61(20) GeV (m̅b(m̅b) = 4.26(18) GeV in the MS scheme). The lattice data are analyzed in terms of the HQE and the matrix elements of dimension-4 and dimension-5 operators are extracted with good precision, namely: and . The data also allow for an estimate of the dimension-6 operator matrix elements.
© The Authors, published by EDP Sciences, 2018
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