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

@inproceedings{Canko2021N3LOCF, title={\$N^3LO\$ calculations for \$2 \to 2\$ processes using Simplified Differential Equations}, author={Dhimiter D. Canko and Federico Gasparotto and Luca Mattiazzi and Costas G. Papadopoulos and Nikolaos Syrrakos}, year={2021} }

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.

## One Citation

Prepared for submission to JHEP TUM-HEP-1385 / 21 Planar three-loop master integrals for 2 → 2 processes with one external massive particle

- 2021

We present analytic results for the two tennis-court integral families relevant to 2→ 2 scattering processes involving one massive external particle and massless propagators in terms of Goncharov…

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