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

We present a precise lattice computation of masses and decay constants of pseudoscalar and vector heavy-light mesons with m_ℓ = m_u/d, m_s and m_h in the range (m_c, ∼ 3m_c). We employ the ETMC gauge configurations with both N_f = 2 and N_f = 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 $\bar{\Lambda }$, and ${\mu }_{\pi }^{2}$ and ${\mu }_{G}^{2}$ with a good precision. These parameters play a crucial role in the inclusive determination of the V_ub and V_cb matrix elements.