https://doi.org/10.1140/epja/s10050-020-00087-y
Regular Article -Theoretical Physics
Towards small-z fragmentation functions of pion from QCD analysis of single-inclusive electron–positron annihilation
Department of Physics, Ferdowsi University of Mashhad, P.O.Box 1436, Mashhad, Iran
* e-mail: Taghavishahri@um.ac.ir
Received:
15
October
2019
Accepted:
10
February
2020
Published online:
4
March
2020
The present study aimed to explore the behavior of unpolarized fragmentation functions (FFs) of pion in the regions of small momentum fractions z. This study used a novel phenomenological QCD approach in the framework of fractal (or self-similar) behavior of FFs to quantify the small-z region. To this end, a simple parameterization for the pion fractal FFs is considered and small z experimental datasets on single inclusive pion production in electron–positron (
) annihilation (SIA) for the range of 
GeV and 
are included in this analysis. The estimations of the uncertainty in the present analysis are carried out using the standard “Hessian” approach. In total, considering the overall value of 
and theory/data comparisons, the results indicate excellent agreements between the experimental datasets and the theory predictions at small momentum fractions z. Finally, we present detailed comparisons between predictions for the relevant small-z observables obtained with various recent models of pion FFs available in literature. Considering the findings presented in this study, we discuss how our knowledge of pion FFs may be improved at small-z by future measurements.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
