Institute for Theoretical Particle Physics (TTP)
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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. 
 +  
 + 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]]   | 
 +| |