论文标题
$ gg \ to zz $的两环螺旋振幅具有完整的Quark质量效果
Two-loop helicity amplitudes for $gg \to ZZ$ with full top-quark mass effects
论文作者
论文摘要
我们将两环QCD校正计算为$ gg \ to ZZ $，涉及封闭的顶级循环。我们提出了一种新的方法，可以系统地构建具有收敛参数表示的Feynman积分的线性组合，在其中我们还允许不可减至的分子，较高的传播器，尺寸移动的积分和子部门积分。幅度通过使用线性代数和有限野外技术得出的共同体来表达这种有限积分。使用数值整合评估幅度，我们发现与先前在渐近极限上的扩展一致，并为中间的partononic能量和较高能量的非中心散射提供了依据结果。
We calculate the two-loop QCD corrections to $gg \to ZZ$ involving a closed top-quark loop. We present a new method to systematically construct linear combinations of Feynman integrals with a convergent parametric representation, where we also allow for irreducible numerators, higher powers of propagators, dimensionally shifted integrals, and subsector integrals. The amplitude is expressed in terms of such finite integrals by employing syzygies derived with linear algebra and finite field techniques. Evaluating the amplitude using numerical integration, we find agreement with previous expansions in asymptotic limits and provide ab initio results also for intermediate partonic energies and non-central scattering at higher energies.
