微扰QCD中的辐射部分子过程--从与精确结果的比较看对Gunion和Bertsch截面的改进
Radiative parton processes in perturbative QCD - an improved version of the Gunion and Bertsch cross section from comparisons to the exact result
摘要：
本文将首阶微扰QCD辐射矩阵元的Gunion-Bertsch近似与精确结果进行了比较。为此，我们重新推导的Gunion-Bertsch近似，以及进行广泛的数值比较Gunion-Bertsch和确切的结果。我们发现，当使用矩阵元从相空间积分得到速率或截面时，在相空间的特征区域，Guunion和Bertsch的振幅偏离了正确的结果。我们提出了一个改进的版本的Gunion-Bertsch矩阵元素，同意非常好的准确结果在所有相空间区域。
英文摘要：
In this work we compare the Gunion-Bertsch approximation of the leading order perturbative QCD radiation matrix element to the exact result. To this end, we revisit the derivation of the Gunion-Bertsch approximation as well as perform extensive numerical comparisons of the Gunion-Bertsch and the exact result. We find that when employing the matrix elements to obtain rates or cross sections from phase space integration, the amplitude by Gunion and Bertsch deviates from the correct result in characteristic regions of the phase space. We propose an improved version of the Gunion-Bertsch matrix element which agrees very well with the exact result in all phase space regions.
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