Nuclear Physics B ( IF 2.8 ) Pub Date : 2020-05-25 , DOI: 10.1016/j.nuclphysb.2020.115059 J. Ablinger , J. Blümlein , A. De Freitas , A. Goedicke , M. Saragnese , C. Schneider , K. Schönwald
We compute the two-mass contributions to the polarized massive operator matrix element at third order in the strong coupling constant in Quantum Chromodynamics analytically. These corrections are important ingredients for the matching relations in the variable flavor number scheme and for the calculation of Wilson coefficients in deep–inelastic scattering in the asymptotic regime . The analytic result is expressed in terms of nested harmonic, generalized harmonic, cyclotomic and binomial sums in N-space and by iterated integrals involving square-root valued arguments in z space, as functions of the mass ratio. Numerical results are presented. New two–scale iterative integrals are calculated.
中文翻译:
三环极化胶子算符矩阵元素的两质量贡献
我们计算极化质量算子矩阵元素的两个质量贡献 在强耦合常数中处于三阶 在量子色动力学中进行分析。这些校正对于可变风味数方案中的匹配关系以及渐进状态下深非弹性散射中的Wilson系数的计算都是重要的成分。。分析结果表示为N空间中的嵌套谐波,广义谐波,环原子和二项式总和,以及涉及质量比函数的,涉及z空间中平方根值自变量的迭代积分。给出了数值结果。计算出新的两级迭代积分。