Extracting resonance parameters from lattice data
Pietro Giudice, Darran McManus, Mike Peardon
TL;DR
This paper compares traditional and new methods for extracting resonance parameters from lattice data using Monte Carlo simulations of the 4d O(4) model, evaluating their effectiveness and accuracy.
Contribution
It provides a comparative analysis of L"uscher's formula and a novel probability distribution-based method for resonance parameter extraction from lattice data.
Findings
Both methods are tested against Monte Carlo data.
The new method shows promising results in certain regimes.
L"uscher's formula remains reliable for standard cases.
Abstract
Monte Carlo simulations of the 4d O(4) model in the broken phase are performed to determine the parameters of a resonance. The standard method for extracting them on the lattice is through L\"uscher's formula; recently a new method, based on the probability distribution concept, has been proposed. We study the application of these methods and compare them with Monte Carlo data.
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