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We present a lattice calculation of the decay constants and masses of$D_{(s)}^*$ and $B_{(s)}^*$ mesons using the gauge configurations produced bythe European Twisted Mass Collaboration (ETMC) with $N_f = 2 + 1 + 1$ dynamicalquarks and at three values of the lattice spacing $a \sim 0.06 - 0.09$ fm. Pionmasses are simulated in the range $m_{\pi} \sim 210 - 450$ MeV, while thestrange and charm quark masses are close to their physical values. We computedthe ratios of vector to pseudoscalar decay constants or masses for variousvalues of the heavy-quark mass $m_h$ in the range $0.7 m_c^{phys} \lesssim m_h\lesssim 3 m_c^{phys}$. In order to reach the physical b-quark mass, weexploited the HQET prediction that, in the static limit of infinite heavy-quarkmass, all the considered ratios are equal to one. We obtain: $ f_{D^*}/f_{D} =1.078(36),$ $m_{D^*}/m_{D} = 1.0769(79)$, $f_{D^*_{s}}/f_{D_{s}} = 1.087(20)$,$m_{D^*_{s}}m_{D_{s}} = 1.0751(56)$, $f_{B^*}/f_{B} = 0.958(22)$,$m_{B^*}/m_{B} = 1.0078(15)$, $f_{B^*_{s}}/f_{B_{s}} = 0.974(10)$ and$m_{B^*_{s}}/m_{B_{s}} = 1.0083(10)$. Combining them with the correspondingexperimental masses from the PDG and the pseudoscalar decay constantscalculated by ETMC, we get: $f_{D^*} = 223.5(8.4)~\mathrm{MeV}$, $m_{D^*} =2013(14)~\mathrm{MeV}$, $f_{D^*_{s}} = 268.8(6.6)~\mathrm{MeV}$, $ m_{D^*_{s}}= 2116(11)~\mathrm{MeV}$, $f_{B^*} = 185.9(7.2)~\mathrm{MeV}$, $m_{B^*} =5320.5(7.6)~\mathrm{MeV}$, $f_{B^*_{s}} = 223.1(5.4)~\mathrm{MeV}$ and$m_{B^*_{s}}= 5411.36(5.3)~\mathrm{MeV}$.

Masses and decay constants of $D_{(s)}^*$ and $B_{(s)}^*$ mesons in Lattice QCD with $N_f = 2 + 1 + 1$ twisted-mass fermions

Masses and decay constants of $D_{(s)}^$ and $B_{(s)}^$ mesons in Lattice QCD with $N_f = 2 + 1 + 1$ twisted-mass fermions