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Modern Summation Methods and the Computation of 2- and 3-loop Feynman Diagrams

✍ Scribed by Jakob Ablinger; Johannes Blümlein; Sebastian Klein; Carsten Schneider

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
212 KB
Volume
205-206
Category
Article
ISSN
0920-5632

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✦ Synopsis

By symbolic summation methods based on difference fields we present a general strategy that transforms definite multi-sums, e.g., in terms of hypergeometric terms and harmonic sums, to indefinite nested sums and products. We succeeded in this task with all our concrete calculations of 2-loop and 3-loop massive single scale Feynman diagrams with local operator insertion.

📜 SIMILAR VOLUMES

Generalized hypergeometric functions and
Generalized hypergeometric functions and the evaluation of scalar one-loop integrals in Feynman diagrams
✍ Luis G. Cabral-Rosetti; Miguel A. Sanchis-Lozano 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 93 KB

Present and future high-precision tests of the Standard Model and beyond for the fundamental constituents and interactions in Nature are demanding complex perturbative calculations involving multi-leg and multi-loop Feynman diagrams. Currently, large e ort is devoted to the search for closed express