From geometry to phenomenology

Stefan Weinzierl

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arXiv · 2607.00187

From geometry to phenomenology

Stefan Weinzierl

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Abstract

Precision calculations in quantum field theory rely very often on perturbation theory and thus on the computation of Feynman integrals. Feynman integrals are also fascinating objects from a mathematical point of view and show deep connections to algebraic geometry. Cutting-edge Feynman integrals usually have geometries of "mixed" type, for example parts of it may correspond to a K3-surface, other parts may correspond to curves of a certain genus and the simplest parts correspond to points. In this talk I will discuss how to extract the geometric information from a Feynman integral and how this information can be used to compute more efficiently Feynman integrals. Non-trivial mixed geometries already occur in $2 \rightarrow 2$-processes at two-loops, like Drell-Yan, Bhabha and Moller scattering.

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Stefan Weinzierl. 2026-06-30. From geometry to phenomenology. https://arxiv.org/abs/2607.00187

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