The Pentabox Master Integrals with the Simplified Differential Equations approach
Costas G. Papadopoulos, Damiano Tommasini, Christopher Wever

TL;DR
This paper computes specific two-loop master integrals for five-point amplitudes with one off-shell leg, using the Simplified Differential Equations method, aiding precise predictions for LHC processes.
Contribution
It introduces a complete set of planar master integrals for five on-shell legs relevant to LHC multi-jet and boson production processes, utilizing the simplified differential equations approach.
Findings
Derived the full set of planar master integrals for five-point amplitudes.
Applicable to key LHC processes like three-jet and boson plus jets production.
Enhances precision in theoretical predictions for collider experiments.
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 amplitudes of interest at the LHC, as for instance three jet production, jets etc., based on the Simplified Differential Equations approach.
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