Hadronic decay width from finite-volume energy spectrum in lattice QCD

TL;DR

This paper presents a method to extract resonance parameters like mass and width from finite-volume energy spectra in lattice QCD, using a probability distribution approach in a non-linear sigma model.

Contribution

It introduces a novel analysis technique based on probability distributions to determine resonance properties from lattice QCD simulations.

Findings

Successfully determines resonance mass and width from energy spectra.

Demonstrates the method on a non-linear sigma model with a scalar field.

Provides a new tool for analyzing resonances in lattice QCD studies.

Abstract

The standard approach to determine the parameters of a resonance is based on the study of the volume dependence of the energy spectrum. In this work we study a non-linear sigma model coupled to a scalar field in which a resonance emerges. Using an analysis method introduced recently, based on the concept of probability distribution, it is possible to determine the mass and the width of the resonance.