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

C.J. Monahan; C. McNeile; C.T.H. Davies; G.P. Lepage; J. Shigemitsu; R.J. Dowdall; R.R. Horgan

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

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arxiv 1309.4610 v1 pith:CCFPYJOH submitted 2013-09-18 hep-lat

R.J. Dowdall , C.T.H. Davies , R.R. Horgan , G.P. Lepage , C. McNeile , C.J. Monahan , J. Shigemitsu This is my paper · ORCID

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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.

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