Transcendental numbers and the topology of three-loop bubbles

6533b835fe1ef96bd129f615

RESEARCH PRODUCT

Transcendental numbers and the topology of three-loop bubbles

Stefan Groote Stefan Groote A. A. Pivovarov A. A. Pivovarov J. G. Körner

subject

High Energy Physics - Theory Physics Nuclear and High Energy Physics Computation Bare mass FOS: Physical sciences Mathematical Physics (math-ph)Topology High Energy Physics - Phenomenology Dimensional regularization symbols.namesake High Energy Physics - Phenomenology (hep-ph)Number theory High Energy Physics - Theory (hep-th)Special functions Regularization (physics)symbols Feynman diagram Algebraic number Mathematical Physics

description

We present a proof that all transcendental numbers that are needed for the calculation of the master integrals for three-loop vacuum Feynman diagrams can be obtained by calculating diagrams with an even simpler topology, the topology of spectacles.

year	journal	country	edition	language
1999-08-02	Physical Review D

https://doi.org/10.1103/physrevd.60.061701

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