Recurrence relations and dispersive techniques for precision multiloop calculations
Abstract
predictions of two-loop electroweak contributions to observables are increasingly essential for precision collider experiments, yet their evaluation remains very challenging. We connect recurrence techniques and dispersive methods in order to evaluate complex multiloop Feynman diagrams. By expressing multipoint Passarino-Veltman functions in a two-point basis and using shifted space-time dimensions with recurrence relations, we minimize the number of required dispersive integrals. This approach reduces computation time and enables a precise and efficient analysis of one- and two-loop diagrams.
Fields of Study & Subjects
Particle physics theoretical and experimental studies
Quantum Chromodynamics and Particle Interactions
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Physical review. D/Physical review. D.
- Volume
- 113
- Issue
- 5
- Publication date
- 12 February 2026
- Language
- EN