A new generating-function framework turns IBP relations into differential equations in a non-commutative algebra, yielding an iterative algorithm that derives symbolic reduction rules and checks completeness for topologies such as the sunset and double-box diagrams.
Feynman Integrals and Intersection Theory
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The Mellin partial wave for four-graviton scattering in supergravity is recast as a rank-two twisted period system of weighted integrals that satisfy first-order differential equations and a recursion with the number of supersymmetries.
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An Algorithm for the Symbolic Reduction of Multi-loop Feynman Integrals via Generating Functions
A new generating-function framework turns IBP relations into differential equations in a non-commutative algebra, yielding an iterative algorithm that derives symbolic reduction rules and checks completeness for topologies such as the sunset and double-box diagrams.
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The double-logarithmic four-graviton Regge sector as a rank-two twisted period system
The Mellin partial wave for four-graviton scattering in supergravity is recast as a rank-two twisted period system of weighted integrals that satisfy first-order differential equations and a recursion with the number of supersymmetries.