$\rho$ meson decay from the lattice

TL;DR

This paper reports preliminary lattice QCD results estimating the $ ho$ meson decay width by analyzing the scattering phase shift of two pions in a moving frame, using improved Wilson fermions.

Contribution

It applies the finite size formula in a moving frame to compute the $ ho$ meson decay width from lattice QCD data, which is a novel approach.

Findings

Estimated decay width of the $ ho$ meson from lattice data.

Validation of the finite size formula in a moving frame.

Insights into $ ho$ meson decay properties at specific quark masses.

Abstract

We present preliminary results on the $\rho$ meson decay width estimated from the scattering phase shift of the I=1 two-pion system. The phase shift is calculated by the finite size formula for non-zero total momentum frame (the moving frame) derived by Rummukainen and Gottlieb, using the $N_f=2$ improved Wilson fermion action at $m_\pi/m_\rho=0.41$ and $L=2.53 {\rm fm}$.