Quarkonium fragmentation in a variable-flavor number scheme: Towards NRFF1.0

TL;DR

This paper advances the understanding of quarkonium production by developing a new variable-flavor number scheme, NRFF1.0, for fragmentation functions, incorporating NLO computations and Monte Carlo uncertainty estimation.

Contribution

It introduces the NRFF1.0 scheme for quarkonium fragmentation functions, combining NLO calculations with DGLAP evolution and a novel uncertainty quantification method.

Findings

Preliminary NRFF1.0 fragmentation functions constructed.

Monte Carlo approach used for uncertainty estimation.

Focus on moderate and large transverse-momentum regimes.

Abstract

We report progress on the determination and study of quarkonium production within the fragmentation approximation. Our analyses address the moderate and large transverse-momentum regime, where the collinear fragmentation of a single parton is expected to dominate over the short-distance production, directly from the hard scattering, of the constituent $(Q \bar{Q})$ system. Parton fragmentation channels to pseudoscalar and vector quarkonia are built on the basis of non-Relativistic QCD next-to-leading computations, which we use to model initial-scale fragmentation inputs. Thus, a preliminary family of Variable-Flavor Number-Scheme (VFNS) fragmentation functions, named NRFF1.0, are constructed through standard DGLAP evolution. Statistical uncertainties are obtained from a Monte Carlo, replica-like approach embodying missing higher-order uncertainties.