Finite volume effects for meson masses and decay constants

By G. Colangelo, S. Durr, Christoph Haefeli. 2005

191 citations recorded by the source corpus.

Abstract 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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/de3964bc730adec8d47d1849d2561dff5fae01e5

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In Nuclear and High Energy Physics

Citations in the corpus

FLAG Review 2019 (2019, background): “In particular, 1-loop chiral perturbation theory [118] reveals a behaviour proportional to M2 π exp{−L Mπ}.”
Setting the scale for the CLS 2 +1 flavor ensembles (2016, background): “The chiral perturbation theory prediction [16,17] indicates that the systematic effects on fπ and mπ are below our statistical uncertainties on the ensembles which enter our analysis, however, in some cases they are not completely negligible.”
Nonperturbative QCD Simulations with 2+1 Flavors of Improved Staggered Quarks (2009, background): “Colangelo, Dürr, and Haefeli (2005) have shown that higher than one-loopχPT corrections can be significant in the current range of quark masses and volumes.”
Leading hadronic contribution to the muon magnetic moment from lattice QCD (2020, methodology): “quenched chiral perturbation theory [20, 28] for aμ help, but the non-perturbative, leading-order, large-L 118”
Light hadrons from lattice QCD with light (u, d), strange and charm dynamical quarks (2010, methodology): “However, the resummed expressions derived by Colangelo, D urr and Haefeli (CDH) in [ 79 ] describe the nite volume eects in our simulations better, be it at the expense of the introduction of two new free parameters, and are thus adopted for this analysis.”
Review of lattice results concerning low-energy particle physics (2016, methodology): “8π,5) Various volumes for comparison and correction for FSEs from (RS)χPT [82]”
Light Hadron Masses from Lattice QCD (2012, background): “13 shows a plot of box size L vs. pion mass Mπ where regions are identified that according to (Colangelo et al., 2005) imply the finite volume effect on the pion mass to be 1%, 0.3% and 0.1% respectively.”
The QCD transition temperature: Results with physical masses in the continuum limit (2006, methodology): “However, when calculating the systematic uncertainties of meson masses and decay constants, we have taken finite size corrections into account using continuum finite volume chiral perturbation theory [ 14 ] (these corrections were around or less than 1%).”