Becher Thomas, Neubert Matthias, Rothen Lorena, 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. 2016 May 13;116(19):192001. doi: 10.1103/PhysRevLett.116.192001. Epub 2016 May 11.
Processes involving narrow jets receive perturbative corrections enhanced by logarithms of the jet opening angle and the ratio of the energies inside and outside the jets. Analyzing cone-jet processes in effective field theory, we find that in addition to soft and collinear fields their description requires degrees of freedom that are simultaneously soft and collinear to the jets. These collinear-soft particles can resolve individual collinear partons, leading to a complicated multi-Wilson-line structure of the associated operators at higher orders. Our effective field theory provides, for the first time, a factorization formula for a cone-jet process, which fully separates the physics at different energy scales. Its renormalization-group equations control all logarithmically enhanced higher-order terms, in particular also the nonglobal logarithms.
涉及窄喷注的过程会受到喷注张角以及喷注内外能量比的对数增强的微扰修正。在有效场论中分析圆锥喷注过程,我们发现除了软场和共线场外,它们的描述还需要与喷注同时软且共线的自由度。这些共线软粒子可以分辨单个共线部分子,导致相关算符在高阶时具有复杂的多威尔逊线结构。我们的有效场论首次为圆锥喷注过程提供了一个因子化公式,它能完全分离不同能量尺度下的物理。其重整化群方程控制所有对数增强的高阶项,特别是非全局对数项。