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

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arxiv 0706.1726 v2 pith:BODG2IDF submitted 2007-06-12 hep-lat hep-ph

E. Follana , C. T. H. Davies , G. P. Lepage , J. Shigemitsu This is my paper · ORCID
classification hep-lathep-ph
keywords experimentmassesconstantsdecaylatticeallowsbettercombining
verification ladder T0 review T1 audit T2 compute T3 formal
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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).

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Cited by 5 Pith papers

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  3. Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework

    hep-ph 2025-01 conditional novelty 6.0 of 10

    First DSE predictions for B*, B*_s, and B*_c distribution amplitudes show peaks near the Euclidean constituent quark mass ratio and a universal spin ordering.

  4. $f_K/f_{\pi}$ in iso-symmetric QCD and the CKM matrix unitarity

    hep-lat 2025-12 unverdicted novelty 4.0 of 10

    Lattice QCD result for f_K/f_π in isoQCD gives |V_us|/|V_ud| consistent with CKM unitarity once isospin and QED effects are included.

  5. FLAG Review 2024

    hep-lat 2024-11 accept novelty 2.0 of 10

    The FLAG 2024 review provides updated averages of lattice QCD determinations for quark masses, decay constants, form factors, mixing parameters, and nucleon matrix elements.

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