Becher Thomas, Neubert Matthias, Shao Ding Yu
Institut für Theoretische Physik & AEC, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland.
PRISMA+ Cluster of Excellence & MITP, Johannes Gutenberg University, 55099 Mainz, Germany.
Phys Rev Lett. 2021 Nov 19;127(21):212002. doi: 10.1103/PhysRevLett.127.212002.
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→l scattering processes at hadron colliders and resum them in closed form.
高能对撞机中的喷注截面展现出对数增强的高阶修正的复杂模式。特别地,所谓的非全局对数源自喷注内部高能部分子发射的软辐射。虽然这在轻子对撞机中是单对数效应,但在强子对撞机中,振幅中的相位因子会导致从四圈阶开始的双对数修正。这个效应早在很久以前就被发现了,但对于这些项的高阶行为及其对过程的依赖性却知之甚少。我们首次推导了强子对撞机中一般2→l散射过程的这些“超领先对数”的全阶结构,并以封闭形式对它们进行了重整化。