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

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 Lüscher 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 $m_{\pi }=410\mathrm{MeV}$ ($m_{\pi }/m_{\rho }=0.46$) and $a=0.091\mathrm{fm}$ on a $32^3\times 64$ ($La=2.9\mathrm{fm}$) lattice.

7 pages, 4 figures, talk given at the XXVIII International Symposium on Lattice Filed Theory, June 14-19,2010, Villasimius, Sardinia Italy