2015/12/17 by Tomas Kasemets, Wouter J. Waalewijn, Lisa Zeune · 13 citations
Physics and Astronomy · #Function (biology) #High-Energy Particle Collisions Research #Jet (fluid) #Large Hadron Collider #Logarithm #Loop (graph theory) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Rapidity #hep-ph #nucl-th
paper · pdf · doi:10.1007/jhep03(2016)153
published in Journal of High Energy Physics 2016(3) (Springer Nature) · 21 pages, 1 figure; v2: references added
arxiv created 2015/12/17 · openalex publication_date 2016/03/01 · arxiv updated 2016/04/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present an efficient way to calculate the effect of soft QCD radiation at one loop, which is needed for predictions at next-to-next-to-leading logarithmic accuracy. We use rapidity coordinates and isolate the divergences in the integrand. By performing manipulations with cumulative variables, we avoid complications from plus distributions. We address rapidity divergences, divergences with an azimuthal dependence, complicated jet boundaries and multi-differential measurements. The process and measurements can be easily adjusted, as we demonstrate by reproducing many existing soft functions. The results for a general LHC process with multiple Wilson lines are obtained by treating Wilson lines that are not back-to-back using a boost. We also obtain, for the first time, the N-jettiness soft function for generic jet angularities, and the collinear-soft function for the measurement of two angularities.