Reduction of Feynman integrals in the parametric representation III: integrals with cuts

• Published in: The European physical journal. C, Particles and fields Vol. 80; no. 12; pp. 1 - 4
• Main Author: Chen, Wen
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2020; Springer; Springer Nature B.V; SpringerOpen
• Subjects: Astronomy; Astrophysics and Cosmology; Differential equations; Elementary Particles; Hadrons; Heavy Ions; Identities; Integrals; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article – Theoretical Physics; Representations; String Theory

Phase space cuts are implemented by inserting Heaviside theta functions in the integrands of momentum-space Feynman integrals. By directly parametrizing theta functions and constructing integration-by-parts (IBP) identities in the parametric representation, we provide a systematic method to reduce i...