All three-loop on-shell QCD Feynman integrals with two masses can be reduced to 27 master integrals. Here we calculate these master integrals, expanded in epsilon, both exactly in the mass ratio and as series in limiting cases.
@article{arxiv.0903.4760,
title = {Three-loop on-shell Feynman integrals with two masses},
author = {S. Bekavac and A. G. Grozin and D. Seidel and V. A. Smirnov},
journal= {arXiv preprint arXiv:0903.4760},
year = {2009}
}
Comments
22 pages; complete results as Mathematica files are available at http://www-ttp.particle.uni-karlsruhe.de/Progdata/ttp09/ttp09-08/ v2: 2 references added, v3: Ref. [16] corrected