2010/09/30 by A. Glazov, Alexander Glazov, S. Moch +3 · 2 citations
Mathematics · Physics and Astronomy · #Applied mathematics #Artificial intelligence #Chebyshev filter #Chebyshev polynomials #Classical mechanics #Computer science #Distribution (mathematics) #Distribution function #Gluon #HERA #High-Energy Particle Collisions Research #Kinematics #Mathematical analysis #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Range (aeronautics) #Regularization (linguistics) #Smoothness #Thermodynamics #hep-ph
paper · pdf · doi:10.1016/j.physletb.2010.11.025
published as Phys.Lett.B695:238-241,2011 · 4 figures
arxiv created 2010/09/30 · openalex publication_date 2010/11/12 · arxiv updated 2011/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A study of the parameterization uncertainty at low Bjorken x⩽0.1 for the parton distribution functions of the proton is presented. The study is based on the HERA I combined data using a flexible parameterization form based on Chebyshev polynomials with and without an additional regularization constraint. The accuracy of the data allows to determine the gluon density in the kinematic range of 0.0005⩽x⩽0.05 with a small parameterization uncertainty. An additional regularization prior leads to a significantly reduced uncertainty for x⩽0.0005.