Three-loop vacuum integrals in FORM and REDUCE

Abstract

The implementation of an algorithm for three-loop massive vacuum integrals, based on the explicit solution of the recurrence relations, in REDUCE and FORM is described.

LaTex, 12 pages, no figures

References in corpus (3)

• Higgs Decay to Order α_s^4
• Generalized Recurrence Relations for Two-loop Propagator Integrals with Arbitrary Masses
• Heavy Quark Current Correlators to O(α_s^2)

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• Automatic reduction of four-loop bubbles
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• Solving Recurrence Relations for Multi-Loop Feynman Integrals
• Towards Order alpha_s^4 Accuracy in tau-decays
• The criterion of irreducibility of multi-loop Feynman integrals
• Five-loop vacuum polarization in pQCD: O(m_q^2α_s^4 n_f^2) contribution
• Two-Loop Vacuum Diagrams in Background Field and Heisenberg-Euler Effective Action
• "Background Field Integration-by-Parts" and the Connection Between One-Loop and Two-Loop Heisenberg-Euler Effective Actions