Direct solution of renormalization group equations of QCD in x-space: NLO implementations at leading twist

Abstract We illustrate the implementation of a method based on the use of recursion relations in (Bjorken) x-space for the solution of the evolution equations of QCD for all the leading twist distributions. The algorithm has the advantage of being very fast. The implementation that we release is written in C and is performed to next-to-leading order in α_s . Title of program: evolution.c Catalogue Id: ADUB_v1_0 Nature of problem The program provided here solves the DGLAP evolution equations to next-to-leading order α s , for unpolarized, longitudinally polarized and transversely polarized parton distributions. Versions of this program held in the CPC repository in Mendeley Data ADUB_v1_0; evolution.c; 10.1016/j.cpc.2004.03.006 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)摘要 我们阐述了一种基于比约肯(Bjorken)x空间递推关系的方法，用于求解量子色动力学(Quantum Chromodynamics, QCD)所有领头扭度分布的演化方程。该算法的核心优势为运算速度极快。本次发布的实现代码采用C语言编写，计算精度可达强耦合常数(α_s)的次领头阶水平。 程序标题：evolution.c 目录编号：ADUB_v1_0 问题描述 本文提供的程序可针对非极化、纵向极化与横向极化的部分子分布函数，求解至强耦合常数次领头阶的DGLAP演化方程。 该程序在Mendeley数据的CPC程序库中的存档版本为：ADUB_v1_0; evolution.c; 10.1016/j.cpc.2004.03.006 本程序源自贝尔法斯特女王大学托管的CPC程序库（1969-2018年）