Calculation of $\rho$ meson decay width from the PACS-CS configurations

TL;DR

This paper estimates the $ ho$ meson decay width using lattice QCD simulations with PACS-CS configurations, employing finite size formulas to analyze the two-pion scattering phase shift.

Contribution

It provides preliminary lattice QCD results on $ ho$ meson decay width at near-physical pion mass using extended finite size methods.

Findings

Decay width estimated from phase shift analysis.

Utilizes extended Lüscher formula for non-zero momentum frames.

Results at $m_c=410$ MeV on a $32^3 imes 64$ lattice.

Abstract

We present preliminary results on the $\rho$ meson decay width from $N_f=2+1$ full QCD configurations generated by PACS-CS Collaboration. The decay width is estimated from the $P$-wave scattering phase shift for the isospin $I=1$ two-pion system. The finite size formula presented by L\"uscher in the center of mass frame and its extension to non-zero total momentum frame by Rummukainen and Gottlieb are employed for the calculations of the phase shift. Our calculations are carried out at $m_\pi=410\ {\rm MeV}$ ($m_\pi/m_\rho=0.46$) and $a=0.091\ {\rm fm}$ on a $32^3\times 64$ ($La=2.9 {\rm fm}$) lattice.