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Canonical differential equations for Feynman integrals from $\mathcal{A}$-hypergeometric systems in the Schwinger representation

Jimenez-Santacruz, Mateo et al.
arXiv (OAI Expanded) · Papers
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algebraic-geometryhigh-energy-physics-theorymathematical-physics
We follow a $D$-module approach to the construction of canonical differential equations for Feynman integrals directly from their Gel'fand-Kapranov-Zelevinsky (GKZ) hypergeometric systems. Starting from the Schwinger representation, we identify the associated generalized Euler integral and its GKZ s
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