English

I=2 pi-pi Scattering from Fully-Dynamical Mixed-Action Lattice QCD

High Energy Physics - Lattice 2008-11-26 v3 High Energy Physics - Phenomenology Nuclear Theory

Abstract

We compute the I=2 pi-pi scattering length at pion masses of m_pi ~ 294, 348 and 484 MeV in fully-dynamical lattice QCD using Luscher's finite-volume method. The calculation is performed with domain-wall valence-quark propagators on asqtad-improved MILC configurations with staggered sea quarks at a single lattice spacing, b ~ 0.125 fm. Chiral perturbation theory is used to perform the extrapolation of the scattering length from lattice quark masses down to the physical value, and we find m_pi a_2 = -0.0426 +- 0.0006 +- 0.0003 +- 0.0018, in good agreement with experiment. The I=2 pi-pi scattering phase shift is calculated to be delta = -43 +- 10 +- 5 degrees at |p| ~ 544 MeV for m_pi ~ 484 MeV.

Keywords

Cite

@article{arxiv.hep-lat/0506013,
  title  = {I=2 pi-pi Scattering from Fully-Dynamical Mixed-Action Lattice QCD},
  author = {Silas R. Beane and Paulo F. Bedaque and Kostas Orginos and Martin J. Savage},
  journal= {arXiv preprint arXiv:hep-lat/0506013},
  year   = {2008}
}

Comments

16 pages, 4 figures

R2 v1 2026-07-22T13:15:45.813Z