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arXiv · 1811.02785

The behavior of the structure function by using the effective exponent at low-x

B. Rezaei·G. R. Boroun
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Abstract

An analytical solution of the QCD evolution equations for the singlet and gluon distribution is presented. We decouple DGLAP evolution equations into the initial conditions by using a Laplace transform method at $N^{n}LO$ analysis. The relationship between the nonlinear behavior and color dipole model is considered based on an effective exponent behavior at low-$x$ values. We obtain the effective exponent at NLO analysis from the decoupled behavior of the distribution functions. The proton structure function compared with H1 data from the inclusive structure function $F_{2}(x,Q^{2})$ for $x {\leq}~ 10^{-2}$ and $5 {\leq} Q^{2} {\leq} 250~GeV^{2}$.

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B. Rezaei, G. R. Boroun. 2018-11-07. The behavior of the structure function by using the effective exponent at low-x. https://doi.org/10.1140/epja/i2019-12734-2

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