Three-Prong Distribution of Massive Narrow QCD Jets
Matan Field, Guy Gur-Ari, David A. Kosower, Lorenzo Mannelli, Gilad, Perez

TL;DR
This paper analyzes the planar-flow distributions of narrow, highly boosted massive QCD jets, deriving their behavior analytically and comparing with parton-shower simulations to improve understanding of jet substructure.
Contribution
It introduces a semi-analytic calculation of the planar-flow jet function based on the one-to-three splitting function, enhancing theoretical predictions for jet substructure.
Findings
Derived the leading-log behavior of the jet function analytically.
Compared semi-analytic results with various parton-shower generators.
Provided insights into the structure of narrow, boosted QCD jets.
Abstract
We study the planar-flow distributions of narrow, highly boosted, massive QCD jets. Using the factorization properties of QCD in the collinear limit, we compute the planar-flow jet function from the one-to-three splitting function at tree-level. We derive the leading-log behavior of the jet function analytically. We also compare our semi-analytic jet function with parton-shower predictions using various generators.
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