| Autor: |
P. A. Baikov, K. G. Chetyrkin |
| Jazyk: |
angličtina |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
Journal of High Energy Physics, Vol 2018, Iss 6, Pp 1-25 (2018) |
| Druh dokumentu: |
article |
| ISSN: |
1029-8479 |
| DOI: |
10.1007/JHEP06(2018)141 |
| Popis: |
Abstract Extending an argument of [1] for the case of 5-loop massless propagators we prove a host of new exact model-independent relations between contributions proportional to odd and even zetas in generic MS¯ $$ \overline{\mathrm{MS}} $$ anomalous dimensions as well as in generic massless correlators. In particular, we find a new remarkable connection between coefficients in front of ζ 3 and ζ 4 in the 4-loop and 5-loop contributions to the QCD β-function respectively. It leads to a natural explanation of a simple mechanics behind mysterious cancellations of the π-dependent terms in one-scale Renormalization Group (RG) invariant Euclidean quantities recently discovered in [2]. We give a proof of this no-π theorem for a general case of (not necessarily scheme-independent) one-scale massless correlators. All π-dependent terms in the six-loop coefficient of an anomalous dimension (or a β-function) are shown to be explicitly expressible in terms of lower order coefficients for a general one-charge theory. For the case of a scalar O(n) ϕ 4 theory all our predictions for π-dependent terms in 6-loop anomalous dimensions are in full agreement with recent results of [3–5]. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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