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arXiv · 1403.6796

The $D_s$, $D^+$, $B_s$ and $B$ decay constants from $2+1$ flavor lattice QCD

A. Bazavov·C. Bernard·C. Bouchard·C. DeTar·D. Du·A. X. El-Khadra·J. Foley·E. D. Freeland·E. Gámiz·Steven Gottlieb·U. M. Heller·J. Kim·J. Komijani·A. S. Kronfeld·J. Laiho·L. Levkova·P. B. Mackenzie·D. Mohler·E. T. Neil·M. B. Oktay·S. Qiu·J. N. Simone·R. L. Sugar·D. Toussaint·R. S. Van de Water·R. Zhou
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Abstract

We present a study of the $D$ and $B$ leptonic decay constants on the MILC $N_f=2+1$ asqtad gauge ensembles using asqtad-improved staggered light quarks and clover heavy quarks in the Fermilab interpretation. Our previous analysis \cite{Bazavov:2011aa} computed the decay constants at lattice spacings $a \approx 0.14, 0.11$ and $0.083$ fm. We have extended the simulations to finer $a \approx 0.058$ and $0.043$ fm lattice spacings, and have also increased statistics; this allows us to address many important sources of uncertainty. Technical advances include a two-step two-point fit procedure, better tuning of the heavy quark masses and a better determination of the axial-vector current matching. The present analysis remains blinded, so here we focus on the improvements and their predicted impact on the error budget compared to the prior analysis.

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A. Bazavov, C. Bernard, C. Bouchard, C. DeTar, D. Du, A. X. El-Khadra, J. Foley, E. D. Freeland, E. Gámiz, Steven Gottlieb, U. M. Heller, J. Kim, J. Komijani, A. S. Kronfeld, J. Laiho, L. Levkova, P. B. Mackenzie, D. Mohler, E. T. Neil, M. B. Oktay, S. Qiu, J. N. Simone, R. L. Sugar, D. Toussaint, R. S. Van de Water, R. Zhou. 2014-03-26. The $D_s$, $D^+$, $B_s$ and $B$ decay constants from $2+1$ flavor lattice QCD. https://arxiv.org/abs/1403.6796

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