Jet cross sections at high-energy colliders exhibit intricate patterns of logarithmically enhanced higher-order corrections. In particular, so-called nonglobal logarithms emerge from soft radiation emitted off energetic partons inside jets. While this is a single-logarithmic effect at lepton colliders, at hadron colliders phase factors in the amplitudes lead to double-logarithmic corrections starting at four-loop order. This effect was discovered a long time ago, but not much is known about the higher-order behavior of these terms and their process dependence. We derive, for the first time, the all-order structure of these “super-leading logarithms” for generic $2\to l$ scattering processes at hadron colliders and resum them in closed form.

中文翻译：

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超前导对数的求和

高能对撞机的射流截面表现出复杂的对数增强高阶校正模式。特别是，所谓的非全局对数来自喷流内部高能部分发射的软辐射。虽然这是轻子对撞机的单对数效应，但在强子对撞机中，振幅中的相位因子导致双对数校正，从四环阶开始。这种效应在很久以前就被发现了，但对这些项的高阶行为及其过程依赖性知之甚少。我们首次推导出泛型的这些“超领先对数”的全阶结构$2\to 升$ 强子对撞机的散射过程并以封闭形式恢复它们。