Masses, decay constants and HQE matrix elements of pseudoscalar and vector heavy-light mesons in LQCD

Abstract

We present a precise lattice computation of masses and decay constants of pseudoscalar and vector heavy-light mesons with mℓ = mu/d, ms and mh in the range (mc, ∼ 3mc). We employ the ETMC gauge configurations with both Nf = 2 and Nf = 2 + 1 + 1 dynamical quarks and the ETMC ratio method to reach the b-quark mass. In the case of the vector decay constants an unusual quenching effect of the strange quark is observed. Specific masses combinations are then analyzed in terms of the Heavy Quark Expansion (HQE) to extract matrix elements up to dimension-6, including , and and with a good precision. These parameters play a crucial role in the inclusive determination of the Vub and Vcb matrix elements.