# Differences

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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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