Simultaneous Determination of Fragmentation Functions and Test on Momentum Sum Rule

Gao, Jun; Shen, Xiaomin; Zhao, Yuxiang; Liu, ChongYang; Xing, Hongxi

Preprint

PUBDB-2024-07611

Simultaneous Determination of Fragmentation Functions and Test on Momentum Sum Rule

Gao, J. (Corresponding author) ; Liu, C. ; Shen, X.Extern*DESY* ; Xing, H. ; Zhao, Y.

2024

[10.3204/PUBDB-2024-07611]

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Please use a persistent id in citations: doi:10.3204/PUBDB-2024-07611

Report No.: arXiv:2401.02781

Abstract: We perform a simultaneous global analysis of hadron fragmentation functions (FFs) to various charged hadrons (π±, K±, and p/p¯) at next-to-leading order in QCD. The world data include results from electron-positron single-inclusive annihilation, semi-inclusive deep inelastic scattering, as well as proton-proton collisions including jet fragmentation measurements for the first time, which lead to strong constraints on the gluon fragmentations. By carefully selecting hadron kinematics to ensure the validity of QCD factorization and the convergence of perturbative calculations, we achieve a satisfying best fit with χ2/d.o.f.=0.90. The total momentum of u, d quarks and gluon carried by light charged hadrons have been determined precisely, urging precision determinations of FFs to neutral hadrons for a test of fundamental sum rules in QCD fragmentation.

Keyword(s): sum rule: momentum ; hadron: fragmentation function ; gluon: fragmentation ; jet: fragmentation ; quantum chromodynamics: factorization ; higher-order: 1 ; deep inelastic scattering: semi-inclusive reaction ; p p: scattering ; electron positron: annihilation ; kinematics ; quark: momentum ; pi: fragmentation function ; K: fragmentation function ; p: fragmentation function ; statistical analysis ; data analysis method