The Vector and Scalar Form Factors of the Pion to Two Loops

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Latex2e, JHEP.cls, 30 pages 5 figures

Scientific paper

10.1088/1126-6708/1998/05/014

We calculate the vector and scalar form factors of the pion to two loops in Chiral Perturbation Theory. We estimate the unknown O(p^6) constants using resonance exchange. We make a careful comparison to the available data and determine two O(p^4) constants rather precisely, and two O(p^6) constants less precisely. We also use Chiral Perturbation Theory to two loops to extract in a model--independent manner the charge radius of the pion from the available data, and obtain \rpiV=0.437\pm 0.016 fm^2.

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