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Analytic Results for Massless Three-Loop Form Factors

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arxiv 1001.2887 v2 pith:A2HKDCY4 submitted 2010-01-17 hep-ph

R.N. Lee , A.V. Smirnov , V.A. Smirnov This is my paper
classification hep-ph
keywords formfactorsintegralsmasteranalyticmasslessmethodresults
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 4 Pith papers

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