这两篇论文详细探讨了在渐近自由量子色动力学中，深部inelastic散射结构函数的高阶g修正。第一篇论文计算了系数函数的全g修正，并结合最近的两圈奇异维度计算，给出了渐近自由的领先阶修正。第二篇论文则涉及结构函数F2、F3和FL的两圈修正，计算了奇异和非奇异操作矩阵元素的两圈异常维度及系数函数。这些计算对于理解电荷交换和中微子反应的物理后果至关重要。
Deep-inelastic scattering beyond the leading order in asymptotically free gauge theories
https://journals.aps.org/prd/pdf/10.1103/PhysRevD.18.3998
abstract: We calculate the full order-g corrections to the coefficient functions which determine the Q ’ dependence of the moments of deep-inelastic structure functions. The calculation is performed in the minimal-subtraction scheme of 't Hooft. The results are combined with the recent two-loop calculations of anomalous dimensions by Floratos, Ross, and Sachrajda to give the full g corrections to the leading order of asymptotic freedom. We present results for C„(l,g ') relevant for electroproduction and neutrino reactions for both nonsinglet and singlet combinations of the structure functions. Phenomenological consequences of the full g corrections to the nonsinglet structure function are discussed. The corrections to the Gross-Llewellyp Smith and Bjorken sum rules are estimated to be of the order of 15%
Deep-inelastic structure functions at two loops
https://www.sciencedirect.com/science/article/pii/S0550321300000456
abstract: We present the analytic calculation of the Mellin moments of the structure functions F2, F3 and FL in perturbative QCD up to second-order corrections and in leading twist approximation. We calculate the two-loop contributions to the anomalous dimensions of the singlet and non-singlet operator matrix elements and the two-loop coefficient functions of F2, F3 and FL. We perform the inverse Mellin transformation analytically and find our results in agreement with earlier calculations in the literature by Zijlstra and van Neerven.
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