The Pentabox Master Integrals with the Simplified Differential Equations approach

Abstract

We present the calculation of massless two-loop Master Integrals relevant to five-point amplitudes with one off-shell external leg and derive the complete set of planar Master Integrals with five on-mass-shell legs, that contribute to many $2\to 3$ amplitudes of interest at the LHC, as for instance three jet production, $\gamma ,V,H+2$ jets etc., based on the Simplified Differential Equations approach.

Revised version accepted for publication in JHEP. Ancillary files with results can be downloaded from https://www.dropbox.com/s/90iiqfcazrhwtso/results.tgz?dl=0