Analytic representation of all planar two-loop five-point Master Integrals with one off-shell leg
Dhimiter D. Canko, Costas G. Papadopoulos, Nikolaos Syrrakos
TL;DR
This paper provides explicit analytic formulas for all planar two-loop five-point Master Integrals with one off-shell leg, aiding high-precision calculations for LHC scattering processes.
Contribution
It introduces a comprehensive analytic solution for all relevant integrals using the Simplified Differential Equations method, advancing computational techniques in particle physics.
Findings
Explicit polylogarithmic expressions for all integrals
Applicable to key LHC scattering processes
Enhances precision in theoretical predictions
Abstract
We present analytic expressions in terms of polylogarithmic functions for all three families of planar two-loop five-point Master Integrals with one off-shell leg. The calculation is based on the Simplified Differential Equations approach. The results are relevant to the study of many scattering processes of interest at the LHC, especially for the leading-color jets production.
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