B, Bs, K and pi weak matrix elements with physical light quarks

Abstract

Calculations of pseudoscalar decay constants of B, Bs, K and pi mesons with physical light quarks are presented. We use HISQ ensembles that include u,d,s and c sea quarks at three lattice spacings. HISQ is used for the valence light quarks and a radiatively improved NRQCD action for the heavy quarks. The key results are f_{B^+}=0.184(4)$ GeV, f_{B_s}=0.224(4) GeV, f_{B_s}/f_{B^+}=1.217(8), f_{K^+}/f_{pi^+}=1.1916(21), f_{K^+}=155.37(34) MeV, giving a significant improvement over previous results that required chiral extrapolation. We also calculate the Wilson flow scale w_0, finding w_0=0.1715(9) fm.

7 pages, 8 figures, presented at the 31st International Symposium on Lattice Field Theory

References in corpus (10)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• High-precision scale setting in lattice QCD
• Scaling studies of QCD with the dynamical HISQ action
• B-meson decay constants from improved lattice NRQCD and physical u, d, s and c sea quarks
• Precise heavy-light meson masses and hyperfine splittings from lattice QCD including charm quarks in the sea
• The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea
• Pseudoscalar Decay Constants in Staggered Chiral Perturbation Theory
• Staggered Chiral Perturbation Theory for Heavy-Light Mesons
• Prediction of the bottomonium D-wave spectrum from full lattice QCD
• Matching lattice and continuum axial-vector and vector currents with NRQCD and HISQ quarks