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preprints:2000:ttp00-15 [2016/03/17 11:03] (current)
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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]] ​  | 
 +| |