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Finite volume effects for meson masses and decay constants

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arxiv hep-lat/0503014 v2 pith:NX3FNWG2 submitted 2005-03-14 hep-lat hep-ph

classification hep-lathep-ph
keywords constantsdecayfinitemassesvolumebeyondeffectsanalysis
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a detailed numerical study of finite volume effects for masses and decay constants of the octet of pseudoscalar mesons. For this analysis we use chiral perturbation theory and asymptotic formulae a la Luscher and propose an extension of the latter beyond the leading exponential term. We argue that such a formula, which is exact at the one-loop level, gives the numerically dominant part at two loops and beyond. Finally, we discuss the possibility to determine low energy constants from the finite volume dependence of masses and decay constants.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Hilbert Series of Pseudoscalar Mesons: Operators and Sum Rules

    hep-ph 2026-08 conditional novelty 6.0 of 10

    A Hilbert series construction yields the complete four-meson, two-derivative operator basis with CKM spurions, from which all leading-order B to pseudoscalar decay sum rules follow as null vectors.

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    A continuum-estimated lattice QCD calculation shows that pi0 and K0 screening masses respond non-monotonically to magnetic fields while eta_s(s-bar) decreases monotonically, alongside magnetic catalysis and inverse ma...

  3. $f_K/f_{\pi}$ 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.

  4. 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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