Analytic representation of all planar two-loop five-point Master Integrals with one off-shell leg

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 $2\to 3$ scattering processes of interest at the LHC, especially for the leading-color $W+2$ jets production.

Comments: 18 pages, 3 figures, 3 tables, ancillary files updated