论文标题
矩$ n = 2 $和$ n = 3 $ wilson twist-two操作员在Ri $ {}'$/SMOM方案中的三个循环
Moments $n=2$ and $n=3$ of the Wilson twist-two operators at three loops in the RI${}'$/SMOM scheme
论文作者
论文摘要
我们研究了扭曲两个非单线双线夸克操作员的矩阵元素的重新归一化，这有助于$ n = 2 $ and $ n = 3 $ n = 3 $矩的结构函数函数，在QCD扰动理论的近代到next to-next to-next to-next to-next to next to-next to next to next to-next to-next to next to next to next to shext to shext to next to shext intertration the Insmetric subtraction traction tractiation Point。这使我们能够在$ \ overline {\ rm MS} $方案与正则化不变对称动量减法（RI/SMOM，RI $ {}'$/SMOM）方案之间获得转换因子。获得的结果可用于减少晶格QCD模拟结构函数矩矩的错误。结果在Landau仪表中给出。
We study the renormalization of the matrix elements of the twist-two non-singlet bilinear quark operators, contributing to the $n=2$ and $n=3$ moments of the structure functions, at next-to-next-to-next-to-leading order in QCD perturbation theory at the symmetric subtraction point. This allows us to obtain conversion factors between the $\overline{\rm MS}$ scheme and the regularization-invariant symmetric momentum subtraction (RI/SMOM, RI${}'$/SMOM) schemes. The obtained results can be used to reduce errors in determinations of moments of structure functions from lattice QCD simulations. The results are given in Landau gauge.
