https://doi.org/10.1140/epjp/s13360-021-01853-7
Regular Article
Fragmentation function of pseudoscalar heavy quarkonia in the ordinary and noncommutative SM
Faculty of Physics, Yazd University, P.O. Box 89195-741, Yazd, Iran
Received:
15
April
2021
Accepted:
9
August
2021
Published online:
19
August
2021
Fragmentation is known as the dominant production mechanism of hadrons with large transverse momentum and forms the nonperturbative and little known aspect of hadroproduction process. In the present work, we calculate the fragmentation function of gluon into pseudoscalar heavy quarkonia to the leading order in 
in the standard model as well as the noncommutative QCD framework. To study the noncommutative effects, we apply the Seiberg–Witten maps to the first order of the noncommutative parameter 
. Our study shows that for the large values of gluon transverse momentum, the noncommutative effects show up for 
TeV, although these effects extremely depend on the used scenario to consider the polarization states of heavy quarkonia, while the corresponding results in the ordinary standard model are independent of applied scenario.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
