arXiv:0904.3008·v1·High Energy Physics — Phenomenology
Leading Chiral Logarithms for Pion Form Factors to Arbitrary Number of Loops
N.A. Kivel🇩🇪 · M.V. Polyakov🇩🇪 · A.A. Vladimirov🇩🇪
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) sigma-model. The analytical properties of the form factors are derived. The leading chiral (infrared) logarithms are summed up in the large N limit.
Comments: 5 pages