New proofs for the two Barnes lemmas and an additional lemma

DOI10.1063/1.4775770zbMath1280.81097arXiv1211.2637OpenAlexW3105225531WikidataQ125025740 ScholiaQ125025740MaRDI QIDQ5396243

Bernd Jantzen

Publication date: 5 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.2637

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Feynman diagrams (81T18) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

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Uses Software

• MBasymptotics
• MBresolve

Cites Work

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• The leading power Regge asymptotic behaviour of dimensionally regularized massless on-shell planar triple box
• Automatized analytic continuation of Mellin-Barnes integrals
• AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals
• On the resolution of singularities of multiple Mellin-Barnes integrals
• The regional strategy in the asymptotic expansion of two-loop vertex Feynman diagrams
• Foundation and generalization of the expansion by regions
• Some exact results for N-point massive Feynman integrals
• Non-planar massless two-loop Feynman diagrams with four on-shell legs

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