TL;DR
Sector decomposition is a systematic technique used to extract divergences from complex integrals in quantum field theory, aiding in the evaluation of multi-loop Feynman diagrams and phase-space integrals.
Contribution
The paper provides a detailed explanation of the sector decomposition algorithm and reviews its applications to multi-loop Feynman integrals and infrared divergent phase-space integrals.
Findings
Effective isolation of divergences in parameter integrals
Application to multi-loop Feynman integrals demonstrated
Infrared divergence handling in phase-space integrals
Abstract
Sector decomposition is a constructive method to isolate divergences from parameter integrals occurring in perturbative quantum field theory. We explain the general algorithm in detail and review its application to multi-loop Feynman parameter integrals as well as infrared divergent phase-space integrals over real radiation matrix elements.
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