Abstract
We evaluate analytically higher terms of the ϵ-expansion of the three-loop master integrals corresponding to three-loop quark and gluon form factors and to the three-loop master integrals contributing to the electron g − 2 in QED up to the transcendentality weight typical to four-loop calculations, i.e. eight and seven, respectively. 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.
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ArXiv ePrint: 1010.1334
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Lee, R.N., Smirnov, V.A. Analytic epsilon expansion of three-loop on-shell master integrals up to four-loop transcendentality weight. J. High Energ. Phys. 2011, 102 (2011). https://doi.org/10.1007/JHEP02(2011)102
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DOI: https://doi.org/10.1007/JHEP02(2011)102