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

Collaboration
•
Jun, 2011
24 pages
Published in:
  • Phys.Rev.D 84 (2011) 094505
e-Print:
DOI:
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Abstract: (arXiv)
We perform a lattice QCD study of the ρ\rho meson decay from the Nf=2+1N_f=2+1 full QCD configurations generated with a renormalization group improved gauge action and a non-perturbatively O(a)O(a)-improved Wilson fermion action. The resonance parameters, the effective ρ→ππ\rho\to\pi\pi coupling constant and the resonance mass, are estimated from the PP-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, mπ=410 MeVm_\pi=410\,{\rm MeV} (mπ/mρ=0.46m_\pi/m_\rho=0.46) and mπ=300 MeVm_\pi=300\,{\rm MeV} (mπ/mρ=0.35m_\pi/m_\rho=0.35), on a 323×6432^3\times 64 (La=2.9 fmLa=2.9\,{\rm fm}) lattice at the lattice spacing a=0.091 fma=0.091\,{\rm fm}. We compare our results at these two quark masses with those given in the previous works using Nf=2N_f=2 full QCD configurations and the experiment.
Note:
  • LaTeX2e, 24 pages, 9 eps figures, uses revtex4 and graphicx, published in PRD
  • rho(770): width
  • rho(770): decay
  • flavor: 3
  • fermion: Wilson
  • pi pi: phase shift
  • final state: two-pion
  • lattice field theory
  • coupling constant: mass dependence
  • renormalization group
  • finite size
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