New type of parametrizations for parton distributions
A. Yu. Illarionov, A. V. Kotikov, S. S. Parzycki, D. V. Peshekhonov
TL;DR
This paper introduces a novel parametrization method for parton distribution functions that accurately models their Q^2-evolution across different x regions, respecting key theoretical constraints.
Contribution
It presents a new parametrization approach for valence quark distributions that exactly incorporates Q^2-evolution and asymptotic behaviors, improving upon previous models.
Findings
Exact Q^2-evolution modeling for valence quarks
Preserves low x and large x asymptotics
Obeys the Gross-Llewellyn-Smith sum rule
Abstract
New type of parametrization for parton distribution functions, based on an exact their Q^2-evolution at large and small x values, is constructed for valence quarks. It preserves exactly the low x and large x asymptotics of the solution of the DGLAP equation and obeys the Gross-Llewellyn-Smith sum rule.
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