R*-operation and five-loop calculations
Abstract
We sketch how the R*-operation can be used to compute the pole terms of Feynman diagrams. We identify computational difficulties when performing five-loop calculations, and provide four solutions that drastically reduce the number of terms that are generated. Using these methods, we have computed the beta function for Yang-Mills theory with fermions, the R-ratio in electron-positron annihilation, and Higgs decays to quarks and gluons at five-loop accuracy. The results for the beta function and Higgs decay width to gluons in the heavy-top limit are briefly discussed. There is no need for six-loop extensions of these calculations in the near future.
Cite
@article{arxiv.1801.06084,
title = {R*-operation and five-loop calculations},
author = {B. Ruijl and F. Herzog and T. Ueda and J. A. M. Vermaseren and A. Vogt},
journal= {arXiv preprint arXiv:1801.06084},
year = {2018}
}
Comments
12 pages, LaTeX (PoS style), 2 eps-figures. Contribution to the proceedings of `RADCOR 2017', St. Gilgen (Austria), September 2017 and (shortened) to the proceedings of `ACAT 2017', Seattle (USA), August 2017