Dispersive calculation of the massless multi-loop sunrise diagram

Abstract

The massless sunrise diagram with an arbitrary number of loops is calculated in a simple but formal manner. The result is then verified by rigorous mathematical treatment. Pitfalls in the calculation with distributions are highlighted and explained. The result displays the high energy behaviour of the massive sunrise diagrams, whose calculation is involved already for the two-loop case.

arXiv comment10 pages, 1 figure, LATEX, uses kluwer.cls, some references added

References in corpus (11)

• Analytic treatment of the two loop equal mass sunrise graph
• Analytic two-loop results for selfenergy- and vertex-type diagrams with one non-zero mass
• Analytical and numerical methods for massive two-loop self-energy diagrams
• An Approach Toward the Numerical Evaluation of Multi-Loop Feynman Diagrams
• Threshold and pseudothreshold values of the sunset diagram
• Threshold expansion of the sunset diagram
• The sunset diagram in SU(3) chiral perturbation theory
• Threshold expansion of Feynman diagrams within a configuration space technique
• Two-Loop Diagrams in Causal Perturbation Theory
• The Threshold Expansion of the 2-loop Sunrise Selfmass Master Amplitudes
• Finite calculation of divergent selfenergy diagrams

Cited by in corpus (3)

• Generalized Symmetry Breaking Scales and Weak Gravity Conjectures
• Regularization in quantum field theory from the causal point of view
• Causal construction of the massless vertex diagram