Abstract
Inspired by the recent measurements of the ηc meson production at LHC experiments, we investigate the relativistic correction effect for the fragmentation functions of gluon/charm quark fragmenting into ηc, which constitute the crucial nonperturbative element for the ηc production at high pT. Employing three distinct methods, we calculate the next-to-leading-order (NLO) relativistic correction to g → ηc fragmentation function in the NRQCD factorization framework, as well as verifying the existing NLO result for the c → ηc fragmentation function. We also study the evolution behavior of these fragmentation functions with the aid of the DGLAP equation.
Highlights
Heavy quarkonium production and polarization in various collider experiments has long been a fantastic topic in QCD, which has triggered intensive experimental and theoretical investigation in the past several decades (For a recent review, see [1]). far, the modern theoretical method to tackle heavy quarkonium (exemplified by J/ψ(ψ′) and Υ) production and decay is represented by the effective-field-theory approach dubbed nonrelativistic QCD (NRQCD) factorization [2]
The modern theoretical method to tackle heavy quarkonium (exemplified by J/ψ(ψ′) and Υ) production and decay is represented by the effective-field-theory approach dubbed nonrelativistic QCD (NRQCD) factorization [2]
Ma pointed out that [15], the NRQCD factorization of quarkonium fragmentation function can be conveniently calculated starting from the operator definition of fragmentation function introduced by Collins and Soper [20]
Summary
Heavy quarkonium production and polarization in various collider experiments has long been a fantastic topic in QCD, which has triggered intensive experimental and theoretical investigation in the past several decades (For a recent review, see [1]). Ma pointed out that [15], the NRQCD factorization of quarkonium fragmentation function can be conveniently calculated starting from the operator definition of fragmentation function introduced by Collins and Soper [20] This elegant approach has the advantage that preserves manifest gauge invariance, and allows one to systematically address the higher-order corrections, as was illustrated in [16, 19]. We will use three different approaches to compute the order-v2 correction to the g → ηc fragmentation function, i.e., Collins-Soper definition, Braaten-Yuan method, and extracting from a specific physical process involving ηc production.
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