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arXiv · 1001.2887

Analytic Results for Massless Three-Loop Form Factors

R. N. Lee·A. V. Smirnov·V. A. Smirnov
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Abstract

We evaluate, exactly in d, the master integrals contributing to massless three-loop QCD form factors. The calculation is based on a combination of a method recently suggested by one of the authors (R.L.) with other techniques: sector decomposition implemented in FIESTA, the method of Mellin--Barnes representation, and the PSLQ algorithm. Using our results for the master integrals we obtain analytical expressions for two missing constants in the ep-expansion of the two most complicated master integrals and present the form factors in a completely analytic form.

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R. N. Lee, A. V. Smirnov, V. A. Smirnov. 2010-03-12. Analytic Results for Massless Three-Loop Form Factors. https://doi.org/10.1007/jhep04(2010)020

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