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The two-loop helicity amplitudes for q q ˉ V 1 V 2 4 $$ qoverline{q}^{prime}o {V}_1{V}_2o 4 $$ leptons

机译: < / InlineMediaObject> q < mi> q ˉ ' v 1 v 2 4 $$ q overline {q} ^ { prime} to {v} _1 {v} _2 to 4 $$ Leptons

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A bstract We compute the two-loop massless QCD corrections to the helicity amplitudes for the production of two massive vector bosons in quark-antiquark annihilation, allowing for an arbitrary virtuality of the vector bosons: q q ˉ ′ → V 1 V 2 $$ qoverline{q}^{prime}o {V}_1{V}_2 $$ . Combining with the leptonic decay currents, we obtain the full two-loop QCD description of the corresponding electroweak four-lepton production processes. The calculation is performed by projecting the two-loop diagrams onto an appropriate basis of Lorentz structures. All two-loop Feynman integrals are reduced to a basis of master integrals, which are then computed using the differential equations method and optimised for numerical performance. We provide a public C++ code which allows for fast and precise numerical evaluations of the amplitudes.
机译:Bstract我们将双环无大量QCD校正计算为Quark-Anquark湮灭中的两个大规模矢量磁杆的肝脏振荡校正,允许矢量玻色子的任意虚拟性:QQˉ'→V 1 V 2 $$ Q ovline {q} ^ { prime} 到{v} _1 {v} _2 $$。结合Leptonic衰变电流,我们获得了相应的Electwoweak 4-Lepton生产过程的完整两个环QCD描述。通过将双环图突出到适当的Lorentz结构基础上来执行计算。所有双环Feynman积分都被减少到主积分的基础,然后使用微分方程方法计算并针对数值性能进行了优化。我们提供了一个公共C ++代码,允许对幅度的快速和精确的数值评估。

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