Chiral corrections to the $1^{-+}$ exotic meson mass

TL;DR

This paper constructs chiral effective Lagrangians for the $1^{-+}$ exotic meson, derives one-loop corrections to its mass, and explores their dependence on pion mass to aid lattice QCD data extrapolation.

Contribution

It introduces explicit chiral correction calculations for the $1^{-+}$ exotic meson mass using infrared regularization, aiding lattice QCD analysis.

Findings

Derived explicit one-loop chiral corrections to the $1^{-+}$ meson mass.

Analyzed the variation of chiral corrections with pion mass under different schemes.

Provided insights for chiral extrapolation of lattice QCD data.

Abstract

We first construct the effective chiral Lagrangians for the $1^{-+}$ exotic mesons. With the infrared regularization scheme, we derive the one-loop infrared singular chiral corrections to the $\pi_1(1600)$ mass explicitly. We investigate the variation of the different chiral corrections with the pion mass under two schemes. Hopefully, the explicit non-analytical chiral structures will be helpful to the chiral extrapolation of the lattice data from the dynamical lattice QCD simulation of either the exotic light hybrid meson or tetraquark state.