论文标题
局部单位性：差分横截面的表示，该横截面在任何顺序上都不是红外奇点的
Local Unitarity: a representation of differential cross-sections that is locally free of infrared singularities at any order
论文作者
论文摘要
我们提出了一种新颖的表示差异散射横截面的新颖表现，该截面在局部意识到了其所谓的房地产和虚拟自由度所表现出的红外奇异性的直接取消。我们利用每个单独的前向散射图的循环树双重性表示，我们证明随后的表达式在本地没有红外差异，适用于任何扰动顺序，并且在没有初始态度共线奇异的情况下适用于任何过程。使用局部紫外线对抗来调节循环动量的差异，以繁殖量子场理论的通常的拉格朗日重态化程序。我们的表示特别适合数值实现，我们通过完全数值计算，而没有任何IR对列来证明其实际潜力，而没有任何IR违反术语，即临时领先的订单准确的差分横截面$ e^+ e^+ e^ - \ rightArrow d \ bar {d} $。我们还通过计算$ 1 \ rightarrow 2+x $标量散射过程的N4lo精确包含横截面的一部分，通过计算干扰项的一部分，我们还显示了第一个结果。
We propose a novel representation of differential scattering cross-sections that locally realises the direct cancellation of infrared singularities exhibited by its so-called real-emission and virtual degrees of freedom. We take advantage of the Loop-Tree Duality representation of each individual forward-scattering diagram and we prove that the ensuing expression is locally free of infrared divergences, applies at any perturbative order and for any process without initial-state collinear singularities. Divergences for loop momenta with large magnitudes are regulated using local ultraviolet counterterms that reproduce the usual Lagrangian renormalisation procedure of quantum field theories. Our representation is especially suited for a numerical implementation and we demonstrate its practical potential by computing fully numerically and without any IR counterterm the next-to-leading order accurate differential cross-section for the process $e^+ e^- \rightarrow d \bar{d}$. We also show first results beyond next-to-leading order by computing interference terms part of the N4LO-accurate inclusive cross-section of a $1\rightarrow 2+X$ scalar scattering process.
