Master Integrals for Four-Loop Massless Form Factors
Roman N. Lee, Andreas von Manteuffel, Robert M. Schabinger, Alexander, V. Smirnov, Vladimir A. Smirnov, Matthias Steinhauser
TL;DR
This paper provides analytical solutions for all master integrals involved in four-loop massless three-point functions with one off-shell leg, advancing computational techniques in high-order quantum field theory calculations.
Contribution
It introduces new analytical results for four-loop master integrals using differential equations and direct integration, enhancing precision in massless form factor computations.
Findings
Complete set of four-loop master integrals obtained
Methods include differential equations and direct integration
Results facilitate higher-order quantum field theory calculations
Abstract
We present analytical results for all master integrals for massless three-point functions, with one off-shell leg, at four loops. Our solutions were obtained using differential equations and direct integration techniques. We review the methods and provide additional details.
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Taxonomy
TopicsParticle physics theoretical and experimental studies