Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-06-10
Phys.Rev.D73:054503,2006
Physics
High Energy Physics
High Energy Physics - Lattice
16 pages, 4 figures
Scientific paper
10.1103/PhysRevD.73.054503
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.
Beane Silas R.
Bedaque Paulo F.
Orginos Kostas
Savage Martin J.
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