论文标题

在强子小面包中以$ TW $生产的价格完成两环QCD振幅

Complete two-loop QCD amplitudes for $tW$ production at hadron colliders

论文作者

Chen, Long-Bin, Dong, Liang, Li, Hai Tao, Li, Zhao, Wang, Jian, Wang, Yefan

论文摘要

我们通过组合分析和数值技术来计算Hadroonic $ TW $生产的完整两环QCD振幅。这些幅度首先被简化为八个平面和七个非平面家族的硕士积分,最多可以包含四个大型繁殖者。然后发现主积分的合理转换获得了良好的基础,以使尺寸参数与还原系数分母中的运动学变量分离。主积分是通过数值求解其微分方程来计算的。我们发现,两回路平方振幅的有限部分在大部分相空间中是稳定的。在与Parton发行量的阶段空间集成和卷积之后,它将LO横截面增加了约3美元\%$。

We calculate the complete two-loop QCD amplitudes for hadronic $tW$ production by combining analytical and numerical techniques. The amplitudes have been first reduced to master integrals of eight planar and seven non-planar families, which can contain at most four massive propagators. Then a rational transformation of the master integrals is found to obtain a good basis so that the dimensional parameter decouples from the kinematic variables in the denominators of reduction coefficients. The master integrals are computed by solving their differential equations numerically. We find that the finite part of the two-loop squared amplitude is stable in the bulk of the phase space. After phase space integration and convolution with the parton distributions, it increases the LO cross section by about $3\%$.

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