Advanced method of solving recurrence relations for multi-loop Feynman integrals
P.A. Baikov (Moscow State U.)

TL;DR
This paper presents a systematic approach for solving recurrence relations in multi-loop Feynman integrals, including criteria for their reducibility, advancing computational techniques in quantum field theory.
Contribution
It introduces a new systematic method and criteria for solving and reducing recurrence relations in multi-loop Feynman integrals.
Findings
New criteria for reducibility of recurrence relations
Enhanced methods for solving multi-loop integrals
Potential improvements in computational efficiency
Abstract
The systematic approach to solving the recurrence relations for multi-loop integrals is described. In particular, the criteria of their reducibility is suggested.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Algebraic and Geometric Analysis · Particle Accelerators and Free-Electron Lasers
