Pseudoscalar decay constants $f_K/f_{\pi }$, $f_D$ and $f_{D_s}$ with $N_f=2+1+1$ ETMC configurations

Abstract

We present a lattice QCD calculation of the pseudoscalar decay constants $f_K$, $f_D$ and $f_{D_s}$ performed by the European Twisted Mass Collaboration with $N_f=2+1+1$ dynamical fermions. We simulated at three different values of the lattice spacing, the smallest being approximately $0.06fm$, and with pion masses as small as $210$MeV. Our main results are: $f_{K^{+}}/f_{{\pi }^{+}}=1.183(17)$, $f_{K^{+}}=154.4(2.1)$MeV, $f_{D_s}=242.1(8.3)$MeV, $f_D=201.9(8.0)$MeV, $f_{D_s}/f_D=1.199(25)$ and $(f_{D_s}/f_D)/(f_K/f_{\pi })=1.005(15)$.

Comments: 7 pages, 5 figures, presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany