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arXiv · 1807.01560

Differential equations for loop integrals without squared propagators

Jorrit Bosma·Kasper J. Larsen·Yang Zhang
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Abstract

We provide a sufficient condition for avoiding squared propagators in the intermediate stages of setting up differential equations for loop integrals. This condition is satisfied in a large class of two- and three-loop diagrams. For these diagrams, the differential equations can thus be computed using "unitarity-compatible" integration-by-parts reductions, which simplify the reduction problem by avoiding integrals with higher-power propagators.

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Jorrit Bosma, Kasper J. Larsen, Yang Zhang. 2018-07-04. Differential equations for loop integrals without squared propagators. https://doi.org/10.22323/1.303.0064

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