# Master integrals for four-loop massless propagators up to weight twelve

@article{Lee2011MasterIF,
title={Master integrals for four-loop massless propagators up to weight twelve},
author={R. N. Lee and Alexander Valeryevich Smirnov and Vladimir A. Smirnov},
journal={Nuclear Physics},
year={2011},
volume={856},
pages={95-110}
}
• Published 3 August 2011
• Mathematics
• Nuclear Physics

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We evaluate three typical four-loop non-planar massless propagator diagrams in a Taylor expansion in dimensional regularization parameter ϵ=(4−d)/2 up to transcendentality weight twelve, using a
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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
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