摘要
In this study,we investigate in detail the generalized Crewther Relation(GCR)between the Adler function(D)and the Gross-Llewellyn Smith sum rules coefficient(C^(GLS))using the newly proposed single-scale approach of the principle of maximum conformality(PMC).The resultant GCR is scheme-independent,with the residual scale dependence due to unknown higher-order terms highly suppressed.Thus,a precise test of QCD theory without renormalization schemes and scale ambiguities can be achieved by comparing with data.Moreover,a demonstration of the scheme independence of the commensurate scale relation up to all orders is presented.Additionally,for the first time,the Pade approximation approach has been adopted for estimating the unknown 5th-loop contributions from the known four-loop perturbative series.
作者
Xu-Dong Huang
Xing-Gang Wu
Qing Yu
Xu-Chang Zheng
Jun Zeng
Jian-Ming Shen
黄旭东;吴兴刚;余青;郑绪昌;曾军;申建明(Department of Physics,Chongqing University,Chongqing 401331,China;Chongqing Key Laboratory for Strongly Coupled Physics,Chongqing 401331,China;INPAC,Key Laboratory for Particle Astrophysics and Cosmology(MOE),Shanghai Key Laboratory for Particle Physics and Cosmology,School of Physics and Astronomy,Shanghai Jiao Tong University,Shanghai 200240,China;School of Physics and Electronics,Hunan University,Changsha 410082,China)
基金
Supported by the Chongqing Graduate Research and Innovation Foundation(ydstd1912,CYB21045)
the National Natural Science Foundation of China(11625520,12047564)
the Fundamental Research Funds for the Central Universities(2020CQJQY-Z003)。