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Volume 303 - Loops and Legs in Quantum Field Theory (LL2018) - Plenary 3
Two-loop $D$-dimensional unitarity and dual-conformal symmetry
Z. Bern, M. Enciso, H. Ita, M. Zeng*
*corresponding author
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Published on: 2018 October 02
In this talk we show that dual conformal symmetry has unexpected applications to Feynman integrals in dimensional regularization. Outside $4$ dimensions, the symmetry is anomalous, but still preserves the unitarity cut surfaces. This generally leads to differential equations whose RHS is proportional to $(d-4)$ 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.
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