Leading Chiral Logarithms for Pion Form Factors to Arbitrary Number of Loops

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.

arXiv comment5 pages

References in corpus (5)

• The Vector and Scalar Form Factors of the Pion to Two Loops
• Renormalization group equations for effective field theories
• Chiral Logarithms Tamed
• Chiral logarithms to five loops
• Breakdown of chiral expansion for parton distributions

Cited by in corpus (12)

• The Massive O(N) Non-linear Sigma Model at High Orders
• Leading Infrared Logarithms from Unitarity, Analyticity and Crossing
• Leading logarithms in the anomalous sector of two-flavour QCD
• Leading logarithms in N-flavour mesonic Chiral Perturbation Theory
• Leading logarithms for the nucleon mass
• Chiral Perturbation Theory Reflections on Effective Theories of the Standard Model
• Leading Logarithms of the Two Point Function in Massless O(N) and SU(N) Models to any Order from Analyticity and Unitarity
• Exact summation of leading infrared logarithms in 2D effective field theories
• Quasi-Renormalizable Quantum Field Theories
• ChPT calculations of pion formfactors
• Leading chiral logarithms for the nucleon mass
• Exact summation of leading logs around $T\bar{T}$ deformation of $O(N+1)$-symmetric 2D QFTs