Lattice QCD Calculation of the $ρ$ Meson Decay Width

Details Lattice QCD Calculation of the $ρ$ Meson Decay Width Lattice QCD Calculation of the $ρ$ Meson Decay Width

2007-08-28

arxiv.org/abs/0708.3705v1

Phys.Rev.D76:094506,2007

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX2e, 16 pages, 6 eps figures, uses revtex4 and graphicx

Scientific paper

10.1103/PhysRevD.76.094506

We present a lattice QCD calculation of the $\rho$ meson decay width via the $P$-wave scattering phase shift for the I=1 two-pion system. Our calculation uses full QCD gauge configurations for $N_f=2$ flavors generated using a renormalization group improved gauge action and an improved Wilson fermion action on a $12^3\times24$ lattice at $m_\pi/m_\rho=0.41$ and the lattice spacing $1/a=0.92 {\rm GeV}$. The phase shift calculated with the use of the finite size formula for the two-pion system in the moving frame shows a behavior consistent with the existence of a resonance at a mass close to the vector meson mass obtained in spectroscopy. The decay width estimated from the phase shift is consistent with the experiment, when the quark mass is scaled to the realistic value.

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