$\rho$ meson decay on asymmetrical lattices

Abstract

We present a lattice QCD calculation of the characteristics of the $\rho$ meson decay. The study is carried out on spatially asymmetric boxes using nHYP-smeared clover fermions in the quenched approximation. The resonance mass and coupling constant are calculate using the P-wave scattering phaseshifts, of the isospin I=1 two-pion system. We use pion masses m_{\pi}= 418 MeV and m_{\pi}=312 MeV. In both cases, the $\rho$ decay is kinematically feasible. We work on lattice sizes N_z X 24^2 X 48 with lattice spacing a=0.1 fm and N_z=24,30,34,48.

Comments: 8 pages, 5 figures, presented at The XXIX International Symposium on Lattice Field Theory - Lattice 2011, July 10-16, 2011, Squaw Valley, Lake Tahoe, California