Masses and decay constants of D(s)* and B(s)* mesons with Nf = 2 + 1 + 1 twisted mass fermions

Understand

We present a lattice calculation of the masses and decay constants of $D_{(s)}^*$ and $B_{(s)}^*$ mesons using the gauge configurations produced by the European Twisted Mass Collaboration (ETMC) with $N_f = 2 + 1 + 1$ dynamical quarks at three values of the lattice spacing $a \sim (0.06 - 0.09)$ fm.

• Pion masses are simulated in the range $M_\pi \simeq (210 - 450)$ MeV, while the strange and charm sea-quark masses are close to their physical values.
• We compute the ratios of vector to pseudoscalar masses and decay constants for various values of the heavy-quark mass $m_h$ in the range $0.7 m_c^{\mathrm{phys}} \lesssim m_h \lesssim 3 m_c^{\mathrm{phys}}$.
• In order to reach the physical b-quark mass, we exploit the Heavy Quark Effective Theory prediction that, in the static limit of infinite heavy-quark mass, the considered ratios are equal to one.