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Three point energy correlators in the collinear limit: symmetries, dualities and analytic results
- Source :
- Journal of High Energy Physics, Vol 2020, Iss 8, Pp 1-49 (2020), Journal of High Energy Physics
- Publication Year :
- 2020
- Publisher :
- SpringerOpen, 2020.
-
Abstract
- Energy Correlators measure the energy deposited in multiple detectors as a function of the angles between the detectors. In this paper, we analytically compute the three particle correlator in the collinear limit in QCD for quark and gluon jets, and also in $\mathcal{N}=4$ super Yang-Mills theory. We find an intriguing duality between the integrals for the energy correlators and infrared finite Feynman parameter integrals, which maps the angles of the correlators to dual momentum variables. In $\mathcal{N}=4$, we use this duality to express our result as a rational sum of simple Feynman integrals (triangles and boxes). In QCD our result is expressed as a sum of the same transcendental functions, but with more complicated rational functions of cross ratio variables as coefficients. Our results represent the first analytic calculation of a three-prong jet substructure observable of phenomenological relevance for the LHC, revealing unexplored simplicity in the energy flow of QCD jets. They also provide valuable data for improving the understanding of the light-ray operator product expansion.<br />Comment: 52 pages, 12 figures v2. Minor typos corrected, matches journal version
- Subjects :
- High Energy Physics - Theory
Nuclear and High Energy Physics
Nuclear Theory
Duality (optimization)
FOS: Physical sciences
Rational function
Jet (particle physics)
01 natural sciences
Nuclear Theory (nucl-th)
symbols.namesake
High Energy Physics - Phenomenology (hep-ph)
0103 physical sciences
Jets
Feynman diagram
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
Limit (mathematics)
Operator product expansion
010306 general physics
Mathematical physics
Quantum chromodynamics
Physics
010308 nuclear & particles physics
Transcendental function
QCD Phenomenology
High Energy Physics - Phenomenology
High Energy Physics - Theory (hep-th)
symbols
lcsh:QC770-798
High Energy Physics::Experiment
Subjects
Details
- Language :
- English
- ISSN :
- 10298479
- Volume :
- 2020
- Issue :
- 8
- Database :
- OpenAIRE
- Journal :
- Journal of High Energy Physics
- Accession number :
- edsair.doi.dedup.....48fe00b5117a2f608496aa965e37c7b4