$N^3LO$ calculations for $2 \to 2$ processes using Simplified Differential Equations

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

paper

$N^{3} L O$ calculations for $2 \to 2$ processes using Simplified Differential Equations

arXiv:2110.08110

Abstract

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.

Contribution to the 15th International Symposium on Radiative Corrections (RADCOR) and the XIX Workshop on Radiative Corrections for the LHC and Future Colliders (LoopFest)

N3LO calculations for 2→2 processes using Simplified Differential Equations

Abstract

$N^{3} L O$ calculations for $2 \to 2$ processes using Simplified Differential Equations