Three-loop helicity amplitudes for four-quark scattering in massless QCD
Three-loop helicity amplitudes for four-quark scattering in massless QCD
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DOI：
10.1007/jhep10(2021)206
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发表时间：
2021-07
影响因子：
5.4
通讯作者：
F. Caola;Amlan Chakraborty;Giulio Gambuti;A. von Manteuffel;L. Tancredi
中科院分区：
文献类型：
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作者：
F. Caola;Amlan Chakraborty;Giulio Gambuti;A. von Manteuffel;L. Tancredi
我们计算无质量 QCD 中 q→ Q 散射的螺旋振幅的三环修正。在散射振幅的洛伦兹分解中，我们避免了渐逝的洛伦兹结构，并将相应的形状因子直接映射到物理螺旋振幅。我们减少振幅来掌握积分并用调和多对数来表达它们。重整化幅度表现出偶极子和四极类型的红外发散，正如先前关于多腿散射幅度的红外结构的工作所预测的那样。我们推导了有限余数，并为所有相关的部分通道提供了明确的结果，无论是相同还是不同的夸克风味。
We compute the three-loop corrections to the helicity amplitudes for q→ Qscattering in massless QCD. In the Lorentz decomposition of the scattering amplitude we avoid evanescent Lorentz structures and map the corresponding form factors directly to the physical helicity amplitudes. We reduce the amplitudes to master integrals and express them in terms of harmonic polylogarithms. The renormalised amplitudes exhibit infrared divergences of dipole and quadrupole type, as predicted by previous work on the infrared structure of multileg scattering amplitudes. We derive the finite remainders and present explicit results for all relevant partonic channels, both for equal and different quark flavours.