Two-loop D-dimensional unitarity and dual conformal symmetry
arXiv:1807.08434
Abstract
In this talk we show that dual conformal symmetry has unexpected applications to Feynman integrals in dimensional regularization. Outside dimensions, the symmetry is anomalous, but still preserves the unitarity cut surfaces. This generally leads to differential equations whose RHS is proportional to and has no doubled propagators. The stabilizer subgroup of the conformal group leads to integration-by-parts (IBP) relations without doubled propagators. The above picture also suggested hints that led us to find a nonplanar analog of dual conformal symmetry.
arXiv comment9 pages, 4 figures, proceedings of Loops and Legs in Quantum Field Theory, 29 April 2018 - 04 May 2018, St. Goar, Germany
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