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

• DOI: 10.48550/arxiv.2110.08110
• Publication Date: 2022-06-21
• Authors: Dhimiter D. Canko; Federico Gasparotto; Luca Mattiazzi; Costas G. Papadop...; Nikolaos Syrrakos
• Keywords: High Energy Physics - Theory; Physics; QC1-999; FOS: Physical sciences; 01 natural sciences; High Energy Physics - Phenomenology; High Energy Physics - Phenomenology; High Energy Physics - Theory; High Energy Physics - Phenomenology; High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th); 0103 physical sciences

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.