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Pseudoscalar decay constants $f_K/f_\pi$, $f_D$ and $f_{D_s}$ with $N_f = 2 + 1 + 1$ ETMC configurations
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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 $(f_{D_s}/f_D) / (f_K/f_\pi) = 1.005(15)$.
Forward citations
Cited by 2 Pith papers
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Impact of Dynamical Charm Quark and Mixed Action Effect on Light Hadron Masses and Decay Constants
A dynamical charm quark does not measurably change light-hadron masses or decay constants, and a clover-on-HISQ mixed action reduces O(a^2) discretization errors in the continuum limit.
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Prospective analysis of CKM element $|V_{cd}|$ and $D^+$-meson decay constant from leptonic decays $D^+ \to \ell^+ \nu$
A QCD sum rule calculation with dimension-six condensates gives f_D+ = 203.0 ± 1.5 MeV and, with BESIII data, |Vcd| = 0.227 +0.002 -0.001.
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