# Chiral Extrapolations of the $\boldsymbol{\rho(770)}$ Meson in $\mathbf{N_f=2+1}$ Lattice QCD Simulations

## TL;DR

This paper analyzes $N_f=2+1$ lattice QCD data for the $
ho(770)$ meson using a unitarized chiral model, successfully reproducing phase shifts and comparing low-energy constants with previous $N_f=2$ results, revealing some inconsistencies.

## Contribution

It introduces a unitarized chiral model for $N_f=2+1$ lattice data analysis and compares low-energy constants with $N_f=2$ results to assess consistency.

## Key findings

- Successfully postdicts experimental phase shifts
- Identifies inconsistencies in $N_f=2+1$ fits
- Compares low-energy constants across flavors

## Abstract

Recent $N_f=2+1$ lattice data for meson-meson scattering in $p$-wave and isospin $I=1$ are analyzed using a unitarized model inspired by Chiral Perturbation Theory in the inverse-amplitude formulation for two and three flavors. Chiral extrapolations are performed that postdict phase shifts extracted from experiment quite well. In addition, the low-energy constants are compared to the ones from a recent analysis of $N_f=2$ lattice QCD simulations to check for the consistency of the hadronic model used here. Some inconsistencies are detected in the fits to $N_f=2+1$ data, in contrast to the previous analysis of $N_f=2$ data.