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

TL;DR

This paper investigates the behavior of large N-point energy correlators in the collinear limit, relating them to jet radii and fragmentation functions, and highlights the deadcone effect in heavy versus light quark jets.

Contribution

It establishes a connection between N-point energy correlators and fragmentation function moments in the large N limit, and compares jet structures initiated by heavy and light quarks.

Findings

Large N-point correlator's projected angle R acts as jet radius.

Soft gluon contributions to R are suppressed in the large N limit.

The deadcone effect is observed when comparing heavy and light quark jets.

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.