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— | preprints:2000:ttp00-15 [2016/03/17 11:03] (current) – created - external edit 127.0.0.1 |
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| ====== TTP00-15 Three-loop Three-Linear Vertices and Four-Loop MOM beta functions in massless QCD ====== |
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| <hidden TTP00-15 Three-loop Three-Linear Vertices and Four-Loop MOM beta functions in massless QCD > In this paper we present a full set of 2- and 3-point functions for |
| massless QCD at three-loop order in the MSbar scheme. The vertex |
| functions are evaluated at the asymmetric point with one vanishing |
| momentum. These results are used to relate the MSbar coupling |
| constant to that of various momentum subtraction renormalization |
| schemes at three-loop order. With the help of the known four-loop |
| MS-bar beta-function we then determine the four-loop coefficients of |
| the corresponding MOM beta-functions. |
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| As an application we consider the momentum dependence (running) of the |
| three-gluon asymmetrical vertex recently computed within the lattice |
| approach by Ph. Boucaud et al. (JHEP 04 006 (2000)). An account |
| of the four-loop term in the corresponding beta-function leads to a |
| significant (around 30\%) decrease of the value of the |
| non-perturbative power-suppressed correction to the running. |
| </hidden> |
| |**K.G. Chetyrkin and A. R\'etey** | |
| | {{preprints:2000:ttp00-15.pdf|PDF}} {{preprints:2000:ttp00-15.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/0007088|arXiv]] | |
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