Calculation of the pion electromagnetic form factor from lattice QCD

Abstract

We present a lattice calculation of the vector form factor of the pion for two flavours of non-perturbatively O(a) improved Wilson fermions. For the measurements we utilise the CLS ensembles which include various lattice spacings and pion masses down to about 250 MeV. To obtain a fine momentum resolution near zero momentum transfer (q^2) partially twisted boundary conditions are employed using several twist angles. Due to the fine resolution around q^2=0 we are able to determine the slope of the form factor and, in turn, extract the charge radius of the pion without any model dependence. The results for the form factor and the charge radius are then compared to chiral perturbation theory and phenomenological models which are used to extrapolate the results to the physical point.

4 pages, 4 figures, talk presented at Hadron 2011: 14th International Conference on Hadron Spectroscopy, Munich, Germany

References in corpus (9)

• Ab-initio Determination of Light Hadron Masses
• Review of lattice results concerning low energy particle physics
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• Determination of the Static Potential with Dynamical Fermions
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Cited by in corpus (4)

• Composite Goldstone Dark Matter: Experimental Predictions from the Lattice
• Form factors from lattice QCD
• QCD thermodynamics with two flavours of Wilson fermions on large lattices
• On the efficiency of stochastic volume sources for the determination of light meson masses