标题： 夸克和胶子形式因子在QCD中四环阶的贡献：$N_f^3$ 的贡献 显示英文标题

标题： Quark and gluon form factors to four loop order in QCD: the $N_f^3$ contributions

摘要： 我们计算了三个闭合夸克环路的无质量QCD四环修正对夸克和胶子形式因子的影响。 我们应用了一种基于模运算的新分部积分算法，并计算了任意时空维度下的所有相关主积分。 这是QCD中在这一微扰阶次上胶子形式因子的首次计算。 显示英文摘要

摘要： We calculate the four-loop massless QCD corrections with three closed quark lines to quark and gluon form factors. We apply a novel integration by parts algorithm based on modular arithmetic and compute all relevant master integrals for arbitrary values of the space-time dimension. This is the first calculation of a gluon form factor at this perturbative order in QCD.