The pi+ pi+ scattering length from maximally twisted mass lattice QCD

Details The pi+ pi+ scattering length from maximally twisted mass lattice QCD The pi+ pi+ scattering length from maximally twisted mass lattice QCD

2009-09-17

arxiv.org/abs/0909.3255v2

Phys.Lett.B684:268-274,2010

Physics

High Energy Physics

High Energy Physics - Lattice

19 pages, 3 figures. v2: reference added, minor changes in language, to appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2010.01.018

We calculate the s-wave pion-pion scattering length in the isospin I=2 channel in lattice QCD for pion masses ranging from 270 Mev to 485 Mev using two flavors of maximally twisted mass fermions at a lattice spacing of 0.086 fm. Additionally, we check for lattice artifacts with one calculation at a finer lattice spacing of 0.067 fm. We use chiral perturbation theory at next-to-leading order to extrapolate our results. At the physical pion mass, we find m_pi a_pipi(I=2)=-0.04385(28)(38) for the scattering length, where the first error is statistical and the second is our estimate of several systematic effects.

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