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$\rho$ Meson Decay in 2+1 Flavor Lattice QCD

Authors :
collaboration, PACS-CS
Aoki, S.
Ishikawa, K. I.
Ishizuka, N.
Kanaya, K.
Kuramashi, Y.
Namekawa, Y.
Okawa, M.
Taniguchi, Y.
Ukawa, A.
Ukita, N.
Yamazaki, T.
Yoshié, T.
Source :
Phys.Rev.D84(2011)094505
Publication Year :
2011

Abstract

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.<br />Comment: LaTeX2e, 24 pages, 9 eps figures, uses revtex4 and graphicx, published in PRD

Subjects

Subjects :
High Energy Physics - Lattice

Details

Database :
arXiv
Journal :
Phys.Rev.D84(2011)094505
Publication Type :
Report
Accession number :
edsarx.1106.5365
Document Type :
Working Paper
Full Text :
https://doi.org/10.1103/PhysRevD.84.094505