Gracey, JA 
ORCID: 0000-0002-9101-2853
(2024)
Four loop renormalization in six dimensions using forcer
Physical Review D, 110 (4).
045015-.
ISSN 2470-0010, 2470-0029
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Abstract
We employ the forcer algorithm to renormalize a variety of six dimensional field theories to four loops. In order to achieve this we construct the forcer 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=6-2ϵ. By applying the forcer routine the four loop MS¯ renormalization of φ3 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 ζ4 and ζ6 is confirmed to five loops in the MOM renormalization of φ3 theory. We also evaluate the three loop β-function of the gauge coupling in six dimensional QCD.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | 5107 Particle and High Energy Physics, 5101 Astronomical Sciences, 51 Physical Sciences |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 18 Jul 2024 07:17 |
| Last Modified: | 23 Jan 2026 17:33 |
| DOI: | 10.1103/PhysRevD.110.045015 |
| Related Websites: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3182953 |
| Disclaimer: | The University of Liverpool is not responsible for content contained on other websites from links within repository metadata. Please contact us if you notice anything that appears incorrect or inappropriate. |
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