Relativistic correction to gluon fragmentation function into pseudoscalar quarkonium
Abstract
Inspired by the recent measurements of the ηc meson production at LHC, we investigate the relativistic correction effect for the fragmentation function of the gluon into ηc, which constitutes the crucial nonperturbative elements to understand ηc production at high pT. Employing three distinct methods, we calculate the leading relativistic correction to the gηc fragmentation function in the NRQCD factorization framework, as well as verify the existing NLO result for the c ηc fragmentation function. We also study the evolution behavior of these fragmentation functions with the aid of DGLAP equation.
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