Calculating soft radiation at one loop

A bstract 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 vari...

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Bibliographic Details
Published in:The journal of high energy physics 2016-03, Vol.2016 (3), p.1-23, Article 153
Main Authors: Kasemets, Tomas, Waalewijn, Wouter J., Zeune, Lisa
Format: Article
Language:English
Subjects:
Adjustment
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Jet boundaries
Mathematical analysis
Physics
Physics and Astronomy
Quantum chromodynamics
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physic
Relativity Theory
String Theory
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2016)153