Linear Algebraic Matrix Solution to DGLAP in ?X Space Leading to Direct, Non-Parametric PDFs extraction From $F_2^{p,d}$ Data

Details Linear Algebraic Matrix Solution to DGLAP in ?X Space Leading to Direct, Non-Parametric PDFs extraction From $F_2^{p,d}$ Data Linear Algebraic Matrix Solution to DGLAP in ?X Space Leading to Direct, Non-Parametric PDFs extraction From $F_2^{p,d}$ Data

2011-08-24

arxiv.org/abs/1108.4932v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 2 figures

Scientific paper

The presented path to PDFs extraction, via global analysis of data, is based on preassumed form of parametric PDFs. In this paper, PDFs are obtained at a chosen $ Q^2 $, and at $x_i, i=1,..., n$ of the analyzed data points by solving the numerically singular system of decomposition equations of the data points each at a given $(x_i, {Q_{ij}}^2)$ of the data. In each equation, the corresponding data point is decomposed into its pdf components, evolved from the set of unknowns at $(x_i, Q^2), i=1, ..., n$ to the required $(x_i, {Q_{ij}}^2), i=1, ..., n, j=1, ..., n_i$, via our linear algebraic (matrix) solution to DGLAP evolution equations.

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