论文标题
三环光子自能量的两部分切割的主积分
Master integrals for bipartite cuts of three-loop photon self energy
论文作者
论文摘要
我们计算三环繁殖图QED图的两分切口的主积分。这些主积分确定光子自能量的光谱密度。我们的结果以迭代的积分来表示，除了$ 400万美元的削减外，还降低了Goncharov的Polyrogarithms。根据谐波载体和完整的椭圆形积分的一倍积分，我们以前的论文中已经计算出400万美元$削减的主体积分。我们提供了发现的主积分的阈值和高能量渐近学，包括削减$ 400万美元的阈值。
We calculate master integrals for bipartite cuts of the three-loop propagator QED diagrams. These master integrals determine the spectral density of the photon self energy. Our results are expressed in terms of the iterated integrals, which, apart from the $4m$ cut, reduce to Goncharov's polylogarithms. The master integrals for $4m$ cut have been calculated in our previous paper in terms of the one-fold integrals of harmonic polylogarithms and complete elliptic integrals. We provide the threshold and high-energy asymptotics of the master integrals found, including those for $4m$ cut.
