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Next-to-Next-to-Leading Order Global Analysis of Polarized Parton Distribution Functions
Ignacio Borsa1, Marco Stratmann1, Werner Vogelsang1
1Institute for Theoretical Physics, <a href="https://ror.org/03a1kwz48">University of Tübingen</a>, Auf der Morgenstelle 14, 72076 Tübingen, Germany.
Abstract:
We present a next-to-next-to-leading order (NNLO) global QCD analysis of the proton's helicity parton distribution functions, the first of its kind. To obtain the distributions, we use data for longitudinal spin asymmetries in inclusive and semi-inclusive lepton-nucleon scattering as well as in weak-boson and hadron or jet production in proton-proton scattering. We analyze the data using QCD perturbation theory at NNLO accuracy, employing approximations provided by the threshold resummation formalism in cases where full NNLO results for partonic hard-scattering functions are not readily available. Our numerical results suggest a remarkable perturbative stability of the extracted helicity parton distribution functions.
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