Pion form factors from lattice QCD with exact chiral symmetry

Details Pion form factors from lattice QCD with exact chiral symmetry Pion form factors from lattice QCD with exact chiral symmetry

2009-11-27

arxiv.org/abs/0911.5193v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, talk presented at 6th International Workshop on Chiral Dynamics, University of Bern, Switzerland, July 6-10, 2009

Scientific paper

We calculate pion vector and scalar form factors in two-flavor lattice QCD and study the chiral behavior of the vector and scalar radii _{V,S}. For a direct comparison with chiral perturbation theory (ChPT), chiral symmetry is exactly preserved by employing the overlap quark action. We utilize the all-to-all quark propagator in order to calculate the scalar form factor including the contributions of disconnected diagrams. A detailed comparison with ChPT reveals that two-loop contributions are important to describe the chiral behavior of the radii in our region of the pion mass M_\pi \gtrsim 290 MeV. From chiral extrapolation based on two-loop ChPT, we obtain _V = 0.409(23)(37) fm^2 and _S = 0.617(79)(66) fm^2, which are consistent with phenomenological analyses.

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