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arXiv 2011.15113hep-phhep-th
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全顶夸克质量效应下$gg \to ZZ$的双圈螺旋度振幅

Two-loop helicity amplitudes for $gg \to ZZ$ with full top-quark mass effects

Bakul Agarwal, Stephen P. Jones, Andreas von Manteuffel

摘要:

我们计算了含有闭合顶夸克圈的$gg \to ZZ$的双圈QCD修正。我们提出了一种新的方法来系统地构建费曼积分的线性组合与收敛的参数表示,在那里我们还允许不可约分子,传播更高的权力,尺寸移动积分,和分区积分。振幅表示在这样的有限积分采用syzygies与线性代数和有限域技术。使用数值积分的振幅评估,我们发现协议与以前的扩展在渐近极限,并提供从头算结果也为中间部分子能量和非中心散射在较高的能量。

英文摘要:

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.

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