https://doi.org/10.1051/epjconf/201817513028
HQE parameters from unquenched lattice data on pseudoscalar and vector heavy-light meson masses
1
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: aurora.melis@ific.uv.es. 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
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
