Large $N$-point energy correlator in the collinear limit

Abstract

For the $N$-point energy correlator in the collinear limit, the largest projected angle $R$ in the large $N$ limit can be viewed as the radius of the jet that encompasses all the collinear core particles, while contributions from soft gluons to the radius are suppressed. We relate the $N$-point energy correlator in the large $N$ limit to the moments of the fragmentation functions to a jet, and, using previous work, we compare the difference between jets initiated by heavy quarks and light quarks. This comparison reveals the deadcone effect.

Comments: 6 pages, 3 figures; Adding MC studies to the numerical analysis (v2); Derivation of the ENC cumulant from the FFJs has been rewritten, but main results and conclusion are unchanged (V3)