On applications of Mathematica Package "FAPT" in QCD

15th International Workshop on Advanced Computing and Analysis Techniques in Physics Research

物理学;计算机科学

Khandramai, Viacheslav^1

Gomel State Technical University, Gomel 246746, Belarus^1

关键词: Computational problem;    Fractional analytic perturbation theories;    Higher twists;    Mathematica packages;    Perturbation theory;    QCD calculations;    Renormalization group evolutions;    Singularity-free;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/523/1/012062/pdf
DOI  :  10.1088/1742-6596/523/1/012062

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

We consider computational problems in the framework of nonpower Analityc Perturbation Theory and Fractional Analytic Perturbation Theory that are the generalization of the standard QCD perturbation theory. The singularity-free, finite couplings A≠(Q2);A≠(s) appear in these approaches as analytic images of the standard QCD coupling powerss (Q2) in the Euclidean and Minkowski domains, respectively. We provide a package \FAPT" based on the system Mathematica for QCD calculations of the images A≠(Q2), A≠(s) up to N3LO of renormalization group evolution. Application of these approaches to Bjorken sum rule analysis and Q2-evolution of higher twist μp-n4is considered.