Abstract
We review recent results in the theory of numbers and single-valued functions on the complex plane which arise in quantum field theory. These results are the basis for a new approach to high-loop-order calculations. As concrete examples, we provide scheme-independent counterterms of primitive log-divergent graphs in theory up to eight loops and the renormalization functions , , of dimensionally regularized theory in the minimal subtraction scheme up to seven loops.
- Received 31 January 2018
DOI:https://doi.org/10.1103/PhysRevD.97.085018
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society