Master integrals for all unitarity cuts of massless four-loop propagators
Vitaly Magerya, Andrey Pikelner
TL;DR
This paper completes the calculation of master integrals for all unitarity cuts of massless four-loop propagators, using advanced methods like dimensional recurrence relations and direct integration.
Contribution
It introduces new calculations for previously unknown 2-loop 3-particle and 1-loop 4-particle cuts in massless four-loop propagators.
Findings
Complete set of master integrals for all unitarity cuts obtained.
Methods include dimensional recurrence relations and direct integration.
Enhances understanding of four-loop propagator structures.
Abstract
Among the unitarity cuts of massless 4-loop propagators two classes have remained unknown until recently: 2-loop 3-particle cuts, and 1-loop 4-particle cuts. In this article we shall discuss the calculation that completes the master integrals for these cuts: both the motivation and the methods (including dimensional recurrence relations and direct integration at higher space-time dimensions).
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