Next-to-leading-order QCD corrections to heavy quark fragmentation into ${}^1S^{(1,8)}_0$ quarkonia

TL;DR

This paper calculates the next-to-leading-order QCD corrections to heavy quark fragmentation into specific quarkonium states within the NRQCD framework, revealing significant impacts on the fragmentation process.

Contribution

It provides the first NLO perturbative corrections to the short-distance coefficients for heavy quark fragmentation into ${}^1S_0^{(1,8)}$ quarkonia in the NRQCD framework.

Findings

NLO QCD corrections significantly affect the fragmentation process.

Applied sector decomposition for numerical calculations.

First computation of NLO corrections for these specific quarkonium states.

Abstract

Within NRQCD factorization framework, in this work we compute, at the lowest order in velocity expansion, the next-to-leading-order (NLO) perturbative corrections to the short-distance coefficients associated with heavy quark fragmentation into the ${}^1S_0^{(1,8)}$ components of a heavy quarkonium. Starting from the Collins and Soper's operator definition of the quark fragmentation function, we apply the sector decomposition method to facilitate the numerical manipulation. It is found that the NLO QCD corrections have a significant impact.