PoS - Proceedings of Science
Volume 318 - Corfu Summer Institute 2017 "Schools and Workshops on Elementary Particle Physics and Gravity" (CORFU2017) - Workshop on the Standard Model and Beyond
Low $Q^{2}$ Boundary Conditions for DGLAP Equations Dictated by Quantum Statistical Mechanics Functions
F. Buccella, S. Sohaily and F. Tramontano*
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Pre-published on: August 22, 2018
Published on: August 24, 2018
Phenomenology shows the prominent role of quantum statistical mechanics for the description of the parton distribution functions in the nucleon. It provides the low Q^2 boundary conditions for DGLAP equations in terms of Fermi-Dirac and Bose-Einstein functions of the fractional momentum variable x. The successful comparison of the model with HERA fit and NNPDF for the light fermions and gluons distributions is presented. Free model parameters fixed from data with high statistics provide a strong constraint on the information not supplied directly by experiments.
DOI: https://doi.org/10.22323/1.318.0009
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