Properties of light pseudoscalars from lattice QCD with HISQ ensembles
MILC Collaboration: A. Bazavov, C. Bernard, C. DeTar, W. Freeman,, Steven Gottlieb, U.M. Heller, J.E. Hetrick, J. Kim, J. Laiho, L. Levkova, M., Lightman, M. Oktay, J. Osborn, R.L. Sugar, D. Toussaint, R.S. Van de Water
TL;DR
This paper analyzes lattice QCD data for light pseudoscalar mesons using chiral perturbation theory, identifies issues with fit quality, and provides a preliminary continuum limit estimate for the decay constant ratio.
Contribution
It introduces a method for fitting lattice QCD data with chiral perturbation theory and discusses solutions for improving fit quality in future studies.
Findings
Preliminary ratio (f_K / f_pi)^phys = 1.1872(41) in the continuum limit.
High chi^2/d.o.f. values suggest need for lighter sea strange-quark ensembles.
Proposed solutions to improve future lattice QCD fits.
Abstract
We fit lattice-QCD data for light-pseudoscalar masses and decay constants, from HISQ configurations generated by MILC, to SU(3) staggered chiral perturbation theory. At present such fits have rather high values of chi^2/d.o.f., possibly due to the lack of ensembles with lighter-than-physical sea strange-quark masses. We propose solutions to this problem for future work. We also perform simple linear interpolations near the physical point on two ensembles with different lattice spacings, and obtain the preliminary result (f_K / f_pi)^phys = 1.1872(41) in the continuum limit.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies · High-Energy Particle Collisions Research