1. 3-loop Feynman Integral Extrapolations for the Baseball Diagram
- Author
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de Doncker, E, Yuasa, F, Ishikawa, T, and Kato, K
- Subjects
High Energy Physics - Phenomenology - Abstract
We focus on numerical techniques for expanding 3-loop Feynman integrals with respect to the dimensional regularization parameter $\varepsilon,$ which is related to the space-time dimension as $\nu = 4-2\varepsilon,$ and describes underlying UV singularities located at the boundaries of the integration domain. As a function of the squared momentum $s,$ the expansion coefficients exhibit thresholds that generally delineate regions for their computational techniques. For the problem at hand, a sequence of integrations with a linear extrapolation as $\varepsilon\rightarrow 0$ may be performed to determine leading coefficients of the $\varepsilon$-expansion numerically. For the "baseball" Feynman diagram, we have used extrapolation with respect to an additional parameter to improve the accuracy of the $\varepsilon$-expansion coefficients in case of singularities internal to the domain., Comment: 6 pages, 2 figures, Proceedings submission to ACAT 2024
- Published
- 2024