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Optimized perturbation theory: The pion form factor

 

作者: Rajan Gupta,  

 

期刊: AIP Conference Proceedings  (AIP Available online 1981)
卷期: Volume 74, issue 1  

页码: 240-264

 

ISSN:0094-243X

 

年代: 1981

 

DOI:10.1063/1.33100

 

出版商: AIP

 

数据来源: AIP

 

摘要:

The order &agr;2s(Q2) corrections to the pion form‐factor F&pgr;(Q2) are calculated using perturbative QCD and dimensional regularization. The result is compared in the MS and MOM subtraction schemes and plotted as a function of Q2/Qˆ2where Qˆ is the subtraction point. There is a large dependence on the scheme, the definition of the running coupling constant &agr;s(Qˆ2) and the subtraction point Qˆ. We find it best to invert the &bgr;‐function equation for the definition of &agr;srather than make an expansion in powers of log(Q2/&Lgr;2). We study two methods to optimize the result with respect to Qˆ: Stevenson’s prescription and putting the 0(&agr;2s) term to zero. Both methods give almost the same value for Q2F&pgr;and this value is scheme independent.

 

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