Singularities of Feynman integrals
Article Type
Research Article
Publication Title
European Physical Journal Special Topics
Abstract
In this paper, we study the singularities of Feynman integrals by compactifying the integration domain as well as the ambient space of these integrals, by embedding them in higher-dimensional space. In this compactified space, the singularities occur due to the meeting of compactified propagators at non-general position. The present analysis, which had been previously used only for the singularities of second type, is used to study other kinds of singularities viz threshold, pseudo-threshold and anomalous threshold singularities. We study various one-loop and two-loop examples and obtain their singularities. We also present observations based on results obtained, that allow us to determine whether the singularities lie on the physical sheet or not for some simple cases. Thus, this work at the frontier of our knowledge of Feynman integral calculus sheds insight into the analytic structure.
First Page
2037
Last Page
2055
DOI
10.1140/epjs/s11734-023-01084-0
Publication Date
10-1-2024
Recommended Citation
Pathak, Tanay and Sreekantan, Ramesh, "Singularities of Feynman integrals" (2024). Journal Articles. 5085.
https://digitalcommons.isical.ac.in/journal-articles/5085