Exploring the meson spectrum with twisted mass lattice QCD

TL;DR

This study uses twisted mass lattice QCD to numerically explore the meson spectrum across all quantum numbers, analyzing symmetries and employing evolutionary algorithms for data fitting.

Contribution

It provides a comprehensive analysis of meson quantum numbers using twisted mass lattice QCD with multiple lattice spacings and quark masses, including exotic states.

Findings

Identification of meson states with various quantum numbers.

Analysis of symmetry relations in twisted mass lattice QCD.

Successful curve fitting of large operator data set.

Abstract

Numerical simulations with access to all possible meson quantum numbers, J^{PC}, are presented using two-flavor (up and down) quenched twisted mass lattice QCD with three different lattice spacings and four different quark masses. The connection between the quantum numbers (P and C) and the symmetries of the twisted mass action are discussed, as is the connection between J and the lattice rotation group, for the 400 operators used in this study. Curve fitting of this large data set is accomplished by using an evolutionary fitting algorithm. Results are reported for conventional and exotic quantum numbers.