论文标题
两环QCD校正$ v \ to q \ bar {q} g $ helicity axial-vector耦合振幅
Two-loop QCD corrections to the $V\to q\bar{q}g$ helicity amplitudes with axial-vector couplings
论文作者
论文摘要
我们将两循环的校正计算到螺旋度振幅，以将巨大的矢量玻色子耦合到无质量的夸克 - 易夸克对和gluon，并考虑了矢量玻色子的向量和轴向矢量耦合，并区分了Isospin和sickospin和Singlet和Singlet和Singlet的贡献。引入了将振幅分解为12个不变张量结构的新的四维基础。然后，使用尺寸正则化在QCD中最多计算两个循环。在执行重新归一化和红外减法之后，显示了重新归一化的非单词矢量和轴向矢量形式因子的有限部分彼此一致，并重现先前已知的两环膨胀剂。单线轴向矢量振幅从两个循环中从轴向异常中获得贡献。该振幅是针对无质量和庞大的内部夸克计算的。我们的结果提供了最后缺少的两回合振幅，该振幅进入了放强大的colliders的NNLO QCD校正。
We compute the two-loop corrections to the helicity amplitudes for the coupling of a massive vector boson to a massless quark-antiquark pair and a gluon, accounting for vector and axial-vector couplings of the vector boson and distinguishing isospin non-singlet and singlet contributions. A new four-dimensional basis for the decomposition of the amplitudes into 12 invariant tensor structures is introduced. The associated form factors are then computed up to two loops in QCD using dimensional regularization. After performing renormalization and infrared subtraction, the finite parts of the renormalized non-singlet vector and axial-vector form factors are shown agree with each other, and to reproduce the previously known two-loop amplitudes. The singlet axial-vector amplitude receives a contribution from the axial anomaly from two loops onwards. This amplitude is computed for massless and massive internal quarks. Our results provide the last missing two-loop amplitudes entering the NNLO QCD corrections of vector-boson-plus-jet production at hadron colliders.
