Large <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>N</mml:mi> </mml:math> -point energy correlator in the collinear limit

For the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>N</a:mi> </a:math> -point energy correlator in the collinear limit, the largest projected angle <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:mi>R</c:mi> </c:math> in the large <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:mi>N</e:mi> </e:math> 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 <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:mi>N</g:mi> </g:math> -point energy correlator in the large <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:mi>N</i:mi> </i:math> 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 demonstrates the dead-cone effect.