论文标题
BFKL特征值的谐波总和和极点分解的反射身份
Reflection Identities of Harmonic Sums and pole decomposition of BFKL eigenvalue
论文作者
论文摘要
我们分析了以谐波和谐波总和为$ n = 4 $ sym的近代到接头（NNLO）单元bfkl eigenvalue的已知结果。嵌套的谐波总和构建已知的nnlo bfkl特征值，用于共形旋转的特定值，在负整数处具有极点。我们根据其重量和深度的复杂性对谐波总和进行排序，并根据反射身份使用其极点分解，以找到NNLO BFKL特征值最复杂的术语，以获得保形旋转的任意值。获得的结果与BFKL演化的Bethe-Salpeter方法兼容。
We analyze known results of next-to-next-to-leading(NNLO) singlet BFKL eigenvalue in $N=4$ SYM written in terms of harmonic sums. The nested harmonic sums building known NNLO BFKL eigenvalue for specific values of the conformal spin have poles at negative integers. We sort the harmonic sums according to the complexity with respect to their weight and depth and use their pole decomposition in terms of the reflection identities to find the most complicated terms of NNLO BFKL eigenvalue for an arbitrary value of the conformal spin. The obtained result is compatible with the Bethe-Salpeter approach to the BFKL evolution.
