- Journal Article
Rights / licenseCreative Commons Attribution 4.0 International
We show that for a class of two-loop diagrams, the on-shell part of the integration-by-parts (IBP) relations correspond to exact meromorphic one-forms on algebraic curves. Since it is easy to find such exact meromorphic one-forms from algebraic geometry, this idea provides a new highly efficient algorithm for integral reduction. We demonstrate the power of this method via several complicated two-loop diagrams with internal massive legs. No explicit elliptic or hyperelliptic integral computation is needed for our method. Show more
Journal / seriesJournal of High Energy Physics
Pages / Article No.
SubjectScattering Amplitudes; Differential and Algebraic Geometry
Organisational unit03896 - Beisert, Niklas / Beisert, Niklas
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