Abstract
We evaluate, exactly in d, the master integrals contributing to massless threeloop 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 ϵ-expansion of the two most complicated master integrals and present the form factors in a completely analytic form.
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ArXiv ePrint: 1001.2887
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Lee, R.N., Smirnov, A.V. & Smirnov, V.A. Analytic results for massless three-loop form factors. J. High Energ. Phys. 2010, 20 (2010). https://doi.org/10.1007/JHEP04(2010)020
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DOI: https://doi.org/10.1007/JHEP04(2010)020