标题： 附录：三环长程多标度模型 显示英文标题

标题： Addendum: Long-range multi-scalar models at three loops

摘要： 我们修正了长程四次多标量模型三环β函数中的一个费曼图计算，最初在(2020 J. Phys. A: Math. Theor. 53 445008) [arXiv:2007.04603]中提出。 修正需要使用与原论文不同的方法，我们在此给出该方法的详细说明。 然后我们报告了伊辛模型、向量模型、立方模型和双线性模型的临界指数的更新数值。 修正图的数值计算的Mathematica文件已提供在附录中。 显示英文摘要

摘要： We correct the computation of one Feynman diagram in the three-loop beta functions for the long-range quartic multi-scalar model, originally presented in (2020 J. Phys. A: Math. Theor. 53 445008) [arXiv:2007.04603]. The correction requires the use of a different method than in the original paper, and we give here full details about the method. We then report the updated numerics for critical exponents of the Ising model, vector model, cubic model and bifundamental model. Mathematica files for the numerical evaluation of the corrected diagram are provided in ancillary.