Fits of $SU(3)$ $N_f=8$ data to dilaton-pion effective field theory

TL;DR

This paper fits $SU(3)$ $N_f=8$ spectral data to a dilaton-pion effective theory, confirming the large-mass regime and hyperscaling, and explains taste splitting patterns observed in simulations.

Contribution

It demonstrates that a dilaton-pion effective field theory accurately describes $SU(3)$ $N_f=8$ data and clarifies taste splitting phenomena in lattice simulations.

Findings

Effective field theory fits well to data

Confirms large-mass regime and hyperscaling

Explains taste splitting pattern

Abstract

We report on fits of the $SU(3)$ $N_f=8$ LSD spectral data to chiral perturbation theory with a dilatonic meson. These fits confirm that current simulations are in the "large-mass" regime, with approximate hyperscaling as the leading mass dependence. We find that the leading-order effective field theory describes the data well. In particular, the effective field theory allows us to understand the staggered taste splitting, explaining the pattern observed in the LSD data, which looks different from QCD.