- Calculating soft radiation at one loop
- The Journal of High Energy Physics
- Volume | Issue number
- 2016 | 3
- Article number
- Number of pages
- Document type
- Faculty of Science (FNWI)
- Institute for High Energy Physics (IHEF)
Institute of Physics (IoP)
Institute for Theoretical Physics Amsterdam (ITFA)
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.
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