The two-loop hemisphere soft function

By R. Kelley, Robert M. Schabinger, M. Schwartz, Hua Xing Zhu. 2011

153 citations recorded by the source corpus.

The hemisphere soft function is calculated to order alpha_s^2. This is the first multi-scale soft function calculated to two loops. The renormalization scale dependence of the result agrees exactly with the prediction from effective field theory. This fixes the unknown coefficients of the singular parts of the two-loop thrust and heavy-jet mass distributions. There are four such coefficients, for 2 event shapes and 2 color structures, which are shown to be in excellent agreement with previous numerical extraction. The asymptotic behavior of the soft function has double logs in the CF CA color structure, which agree with non-global log calculations, but also has sub-leading single logs for both the CF CA and CF TF nf color structures. The general form of the soft function is complicated, does not factorize in a simple way, and disagrees with the Hoang-Kluth ansatz. The exact hemisphere soft function will remove one source of uncertainty on the alpha_s fits from e+e- event shapes.

Subfields: Astronomy and Astrophysics, Computational Mathematics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5b3b7faefac7e29e801870b41954b5a4589273a6

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In Astronomy and Astrophysics

1. G. Salam
2. A. Larkoski
3. A. Ferroglia
4. A. Broggio
5. R. Essig
6. T. Becher
7. B. Tweedie
8. Jonathan R. Walsh

In Nuclear and High Energy Physics

1. A. Larkoski
2. G. Salam
3. Cms Collaboration
4. Jesse Thaler
5. G. Soyez
6. I. Moult
7. D. Neill
8. Atlas Collaboration

Citations in the corpus

• Introduction to Soft-Collinear Effective Theory (2014, methodology): “The full two-loop hemisphere soft function was computed in [247, 248], so that the full analytic dependence of this function on the ratio ω1/ω2 is now known.”
• N-jettiness subtractions for NNLO QCD calculations (2015, background): “For two external partons, κ = qq̄ and κ = gg, the result for the two-loop constant is known analytically [124–126] and does not depend on the whether the partons are incoming or outgoing, i.”
• A formalism for the systematic treatment of rapidity logarithms in Quantum Field Theory (2012, background): “The fact that the soft function depends on both hemispheres complicates a straightforward definition of a square-root of the soft function, especially since non-global logarithms seem to be a generic feature of multi-region soft functions [83–85].”
• Jet substructure at the Tevatron and LHC: new results, new tools, new benchmarksReport prepared by the participants of the BOOST 2011 Workshop at Princeton University, 22–26 May 2011. L Asquith (lasquith@hep.anl.gov), S Rappoccio (rappocc@fnal.gov) and C K Vermilion (verm@uw.edu), editors. (2011, background): “Recent explorations in SCET have provided additional insights into their structure and origin, providing a possible new path to renormalisation group-based resummation [94, 95, 96].”