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High Energy Physics - Lattice

arXiv:0706.1726 (hep-lat)
[Submitted on 12 Jun 2007 (v1), last revised 28 Mar 2008 (this version, v2)]

Title:High Precision determination of the pi, K, D and D_s decay constants from lattice QCD

Authors:E. Follana, C. T. H. Davies, G. P. Lepage, J. Shigemitsu
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Abstract: We determine $D$ and $D_s$ decay constants from lattice QCD with 2% errors, 4 times better than experiment and previous theory: $f_{D_s}$ = 241(3) MeV, $f_D$ = 207(4) MeV and $f_{D_s}/f_D$ = 1.164(11).
We also obtain $f_K/f_{\pi}$ = 1.189(7) and $(f_{D_s}/f_D)/(f_K/f_{\pi})$ = 0.979(11). Combining with experiment gives $V_{us}$=0.2262(14) and $V_{cs}/V_{cd}$ of 4.43(41). We use a highly improved quark discretization on MILC gluon fields that include realistic sea quarks fixing the $u/d, s$ and $c$ masses from the $\pi$, $K$, and $\eta_c$ meson masses. This allows a stringent test against experiment for $D$ and $D_s$ masses for the first time (to within 7 MeV).
Comments: 4 pages, 2 figures. Published version - changes from original include a more extensive discussion of errors and an error budget table covering more quantities. There are very small changes in some of the values reported
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:0706.1726 [hep-lat]
  (or arXiv:0706.1726v2 [hep-lat] for this version)
  https://doi.org/10.48550/arXiv.0706.1726
Journal reference: Phys.Rev.Lett.100:062002,2008
Related DOI: https://doi.org/10.1103/PhysRevLett.100.062002

Submission history

From: Christine T. H. Davies [view email]
[v1] Tue, 12 Jun 2007 15:29:21 UTC (33 KB)
[v2] Fri, 28 Mar 2008 13:39:24 UTC (33 KB)
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