测试超出次前导对数精度的高能因子分解
Testing high-energy factorization beyond the next-to-leading-logarithmic accuracy
摘要：
以最大超对称N=4的杨-密尔理论（MSYM）中的两圈和三圈四点振幅的高能极限为例，检验了高能振幅的圈展开的有效性，超越了次-首对数（NLL）精度.我们计算三圈Regge轨迹，以及两圈和三圈系数函数。这些量与NLL之外的BFKL演变相关，以及在高能极限中构建具有许多分支的MSYM双环和三环振幅，这反过来可以用作对相应精确振幅的评估的有力检查。
英文摘要：
By taking the high-energy limit of the two-loop and the three-loop four-point amplitudes in the maximally supersymmetric N=4 Yang-Mill theory (MSYM), we test the validity of the loop expansion of the high-energy amplitude, beyond the next-to-leading-logarithmic (NLL) accuracy. We compute the three-loop Regge trajectory, and the two-loop and three-loop coefficient functions. These quantities are relevant for the BFKL evolution beyond NLL, as well as building MSYM two-loop and three-loop amplitudes with many legs in the high-energy limit, which in turn may be used as a powerful check of the evaluation of the corresponding exact amplitudes.
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