Parameter fitting in three-flavor Nambu--Jona-Lasinio model with various regularizations

TL;DR

This paper investigates the three-flavor Nambu--Jona-Lasinio model using various regularization methods, fitting parameters to match physical quantities, and analyzing the model's behavior at high cutoff scales.

Contribution

It compares different regularization procedures in the NJL model, demonstrating reliable predictions without limiting the ultraviolet cutoff below the hadronic scale.

Findings

Most regularizations yield accurate meson masses and decay constants.

Dimensional regularization does not produce reliable results.

High cutoff scales are feasible for physical predictions.

Abstract

We study the three-flavor Nambu--Jona-Lasinio model with various regularization procedures. We perform parameter fitting in each regularization and apply the obtained parameter sets to evaluate various physical quantities, several light meson masses, decay constant and the topological susceptibility. The model parameters are adopted even at very high cutoff scale compare to the hadronic scale to study the asymptotic behavior of the model. It is found that all the regularization methods except for the dimensional one actually lead reliable physical predictions for the kaon decay constant, sigma meson mass and topological susceptibility without restricting the ultra-violet cutoff below the hadronic scale.