$ρ$ Meson Decay in 2+1 Flavor Lattice QCD

Details $ρ$ Meson Decay in 2+1 Flavor Lattice QCD $ρ$ Meson Decay in 2+1 Flavor Lattice QCD

2011-06-27

arxiv.org/abs/1106.5365v4

Phys.Rev.D84(2011)094505

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX2e, 24 pages, 9 eps figures, uses revtex4 and graphicx, published in PRD

Scientific paper

10.1103/PhysRevD.84.094505

We perform a lattice QCD study of the $\rho$ meson decay from the $N_f=2+1$ full QCD configurations generated with a renormalization group improved gauge action and a non-perturbatively $O(a)$-improved Wilson fermion action. The resonance parameters, the effective $\rho\to\pi\pi$ coupling constant and the resonance mass, are estimated from the $P$-wave scattering phase shift for the isospin I=1 two-pion system. The finite size formulas are employed to calculate the phase shift from the energy on the lattice. Our calculations are carried out at two quark masses, $m_\pi=410\,{\rm MeV}$ ($m_\pi/m_\rho=0.46$) and $m_\pi=300\,{\rm MeV}$ ($m_\pi/m_\rho=0.35$), on a $32^3\times 64$ ($La=2.9\,{\rm fm}$) lattice at the lattice spacing $a=0.091\,{\rm fm}$. We compare our results at these two quark masses with those given in the previous works using $N_f=2$ full QCD configurations and the experiment.

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