Four loop renormalization in six dimensions using forcer
Year: 2024
Type: article
Abstract: We employ the algorithm to renormalize a variety of six dimensional field theories to four loops. In order to achieve this we construct the master integrals in six dimensions from their four dimensional counterparts by using the Tarasov method. The ε expansion of the six dimensional masters are determined up to weight 9 where d = 6 − 2 ε . By applying the routine the four loop MS ¯ renormalization of ϕ 3 theory is reproduced before gauge theories are considered. The renormalization of these theories is also determined in the MOM ˜ scheme. For instance the absence of ζ 4 and ζ 6 is confirmed to five loops in the MOM ˜ renormalization of ϕ 3 theory. We also evaluate the three loop β -function of the gauge coupling in six dimensional QCD. Published by the American Physical Society 2024
Author: J. A. Gracey
Institution: University of Liverpool
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4401638063