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VOLUME 89 (2009) | ISSUE 11 | PAGE 631
Leading Chiral Logarithms for Pion Form Factors to Arbitrary Number of Loops
PACS: 11.10.Gh, 12.38.Lg, 12.39.Fe
Abstract
We develop the method of calculation of the leading chiral (infrared) logarithms to an arbitrary loop order for various form factors of Nambu-Goldstone bosons. The method is illustrated on example of scalar and vector form factors in massless 4D O(N+1)/O(N) σ-model. The analytical properties of the form factors are derived. The leading chiral (infrared) logarithms are summed up in the large N limit.