论文标题
四环QCD尖端异常尺寸小角度
Four-loop QCD cusp anomalous dimension at small angle
论文作者
论文摘要
我们计算四环QCD尖齿异常尺寸的小角度膨胀。作为我们计算的副产品，我们还获得了HQET中夸克场的四环异常维度。计算设置的有效性通过HQET中的重 - 格鲁恩顶点重新归一化的四环QCDβ功能的独立计算进行了交叉检查。我们根据可用的分析和数值结果检查了尖尖异常的缘和夸克场异常的结果。最后，我们发现，对QCD bremsstrahung函数的最大超然性贡献是3/2的重合，而Bremsstrahlung函数在N = 4个超对称的Yang-Mills理论中，至少通过4个LOOP通过4个LOOP。
We calculate the small angle expansion of the four-loop QCD cusp anomalous dimension. As a byproduct of our calculation, we also obtain the four-loop anomalous dimension of the heavy-quark field in HQET. The validity of the calculational setup is cross-checked by the independent calculation of the four-loop QCD beta-function from heavy-quark-gluon vertex renormalization in HQET. We check the obtained results for the cusp anomalous dimension and heavy-quark field anomalous dimension against available analytical and numerical results. Finally, we find that the maximal transcendentality contribution to the QCD Bremsstrahlung function coincides, up to a factor 3/2, with the Bremsstrahlung function in N = 4 supersymmetric Yang-Mills theory, at least, through 4 loops.
