# Recent progress on two-loop massless pentabox integrals with one off-shell leg

### Submission summary

 As Contributors: Konstantinos Papadopoulos · Chris Wever Preprint link: scipost_202110_00018v1 Date submitted: 2021-10-12 16:47 Submitted by: Papadopoulos, Konstantinos Submitted to: SciPost Physics Proceedings Proceedings issue: RADCOR 2021 (15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology) Academic field: Physics Specialties: High-Energy Physics - Theory High-Energy Physics - Phenomenology Mathematical Physics Approaches: Theoretical, Computational, Phenomenological

### Abstract

Analytic expressions in terms of polylogarithmic functions for all three families of planar two-loop five-point Master Integrals with one off-shell leg are presented. The Simplified Differential Equations approach is the only known way to fulfil this task due to its unique factorisation property of the symbols of the canonical differential equation. The results are relevant to the study of many $2\to 3$ scattering processes of interest at the LHC.

###### Current status:
Editor-in-charge assigned