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$N^3LO$ calculations for $2 \to 2$ processes using simplified differential equations

Dhimiter D. Canko, Federico Gasparotto, Luca Mattiazzi, Costas G. Papadopoulos, Nikolaos Syrrakos

SciPost Phys. Proc. 7, 028 (2022) · published 21 June 2022

Proceedings event

15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology


We present the computation of the massless three-loop ladder-box family with one external off-shell leg using the Simplified Differential Equations (SDE) approach. We also discuss the methods we used for finding a canonical differential equation for the two tennis-court families with one off-shell leg, and the application of the SDE approach on these two families.

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