Planar master integrals for four-loop form factors

Abstract

We present the complete set of planar master integrals relevant to the calculation of three-point functions in four-loop massless Quantum Chromodynamics. Employing direct parametric integrations for a basis of finite integrals, we give analytic results for the Laurent expansion of conventional integrals in the parameter of dimensional regularization through to terms of weight eight.

Comments: 15 pages, 2 figures, 1 table; in v2: incorporated referee suggestions in text, all equations and results unchanged. v2 is the version published in JHEP