Deep-inelastic scattering beyond the leading order in asymptotically free gauge theories
Deep-inelastic scattering beyond the leading order in asymptotically free gauge theories
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DOI：
10.1103/physrevd.18.3998
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发表时间：
1978-12
影响因子：
5
通讯作者：
W. Bardeen;A. Buras;D. Duke;T. Muta
中科院分区：
文献类型：
--
作者：
W. Bardeen;A. Buras;D. Duke;T. Muta
我们计算系数函数的全阶 ${g}^{2}$ 修正，该修正确定了深层非弹性结构函数矩的 ${Q}^{2}$ 依赖性。计算采用 't Hooft 最小减法方案进行。结果与 Floratos、Ross 和 Sachrajda 最近对反常维度的双循环计算相结合，对渐近自由的主阶进行了完整的 ${\overline{g}}^{2}$ 修正。我们提出了与结构函数的非单线态和单线态组合的电产生和中微子反应相关的 ${C}_{n}(1,{\overline{g}}^{2})$ 的结果。讨论了对非单重结构函数进行完整 ${\overline{g}}^{2}$ 校正的现象学后果。对 Gross-Llewellyn Smith 和 Bjorken 总和规则的修正估计约为 15%。
We calculate the full order-${g}^{2}$ corrections to the coefficient functions which determine the ${Q}^{2}$ 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 ${\overline{g}}^{2}$ corrections to the leading order of asymptotic freedom. We present results for ${C}_{n}(1,{\overline{g}}^{2})$ relevant for electroproduction and neutrino reactions for both nonsinglet and singlet combinations of the structure functions. Phenomenological consequences of the full ${\overline{g}}^{2}$ corrections to the nonsinglet structure function are discussed. The corrections to the Gross-Llewellyn Smith and Bjorken sum rules are estimated to be of the order of 15%.