Recent progess in Landau Analysis: Schwinger, Baikov, and implementations

The purpose of this talk is to review recent progress in Landau analysis, which aims to predict the singularity structure of Feynman integrals before explicitly evaluating them. In the first part, I will discuss the advantages and disadvantages of formulating this problem in both Schwinger parameter space and momentum (Baikov) space. In the second part, I will explain how the latter approach extends the powerful unitary-based method of arXiv:2406.05241 beyond two-particle cut-reducible graphs. To demonstrate its efficiency, I will present new results for multi-loop and multi-scale Feynman integrals, derived using an automatized Mathematica implementation in preparation.

This activity is part of the ERC Synergy Grant UNIVERSE+ www.positive-geometry.com, funded by the European Union (ERC, UNIVERSE PLUS, 101118787). Views and opinions expressed are however those of the author(s) only and do not necessarily reflect those of the European Union or the European Research Council Executive Agency. Neither the European Union nor the granting authority can be held responsible for them.