Pseudocalar meson and vector meson interactions and dynamically generated axial-vector mesons

TL;DR

This paper investigates how axial-vector mesons are dynamically generated through chiral perturbation theory, analyzing their interactions and dependence on quark masses, with implications for future lattice QCD studies.

Contribution

It extends the calculation of interaction kernels to $ ext{O}(p^2)$ and explores the impact on axial-vector meson generation and their quark mass dependence.

Findings

Calculated scattering lengths and pole positions as functions of pion mass.

Analyzed the impact of $ ext{O}(p^2)$ interactions on meson generation.

Provided predictions relevant for future lattice QCD simulations.

Abstract

The axial-vector mesons $a_1(1260)$, $b_1(1235)$, $f_1(1285)$, $h_1(1170)$, $h_1(1380)$, and $K_1(1270)$ are dynamically generated in the unitized chiral perturbation theory. Such a picture has been tested extensively in the past few years. In this work, we calculate the interaction kernel up to $\mathcal{O}(p^2)$ and study the impact on the dynamically generated axial-vector states. In anticipation of future lattice QCD simulations, we calculate the scattering lengths and the pole positions as functions of the pion mass, with the light-quark mass dependence of the kaon, the eta, and the vector mesons determined by the $n_f=2+1$ lattice QCD simulations of the PACS-CS Collaboration.