Chiral logarithms to five loops

Abstract

We investigate two specific Green functions in the framework of chiral perturbation theory. We show that, using analyticity and unitarity, their leading logarithmic singularities can be evaluated in the chiral limit to any desired order in the chiral expansion, with a modest calculational cost. The claim is illustrated with an evaluation of the leading logarithm for the scalar two-point function to five-loop order.

13 pages, 5 figures

References in corpus (5)

• Roy equation analysis of pi pi scattering
• The Mesonic Chiral Lagrangian of Order $p^6$
• Renormalization of chiral perturbation theory to order p^6
• Renormalization group equations for effective field theories
• The standard model at low energies

Cited by in corpus (11)

• Leading Logarithms in the Massive O(N) Nonlinear Sigma Model
• The Massive O(N) Non-linear Sigma Model at High Orders
• Chiral Logarithms Tamed
• Leading Infrared Logarithms from Unitarity, Analyticity and Crossing
• Leading Chiral Logarithms for Pion Form Factors to Arbitrary Number of Loops
• Leading infrared logarithms for sigma-model with fields on arbitrary Riemann manifold
• On the factorization of chiral logarithms in the pion form factors
• A renormalizable effective theory for leading logarithms in ChPT
• 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
• Quasi-Renormalizable Quantum Field Theories