On the quarkonium-in-jet collinear fragmentation at moderate-to-large transverse momentum

TL;DR

This paper introduces the HF-NRevo methodology to study quarkonium formation within jets at moderate-to-large transverse momentum, emphasizing collinear fragmentation processes and utilizing nonrelativistic calculations for fragmentation functions.

Contribution

It presents a novel approach combining nonrelativistic calculations and evolution schemes to analyze quarkonium fragmentation inside jets at high transverse momentum.

Findings

Development of the NRFF1.0 fragmentation functions.

Application of HF-NRevo to quarkonium-in-jet collinear fragmentation.

Insights into the dominance of leading-twist collinear fragmentation at high transverse momentum.

Abstract

We report progress on the Heavy-Flavor Non-Relativistic Evolution (HF-NRevo) setup, a novel methodology to address quarkonium formation within the fragmentation approximation. Our study sheds light on the moderate to large transverse-momentum sector, where the leading-twist collinear fragmentation of a single parton prevails over the higher-twist fragmentation from a constituent heavy-quark pair produced in the hard scattering. As for the initial energy-scale inputs, we rely on nonrelativistic next-to-leading calculations for all the parton-to-quarkonia fragmentation channels. Preliminary sets of variable-flavor number-scheme (VFNS) fragmentation functions, named NRFF1.0, are built via an evolution-threshold enhanced DGLAP scheme. Taking NRFF1.0 as a starting point, we use HF-NRevo to address the collinear fragmentation of quarkonia inside jets.