Nonlinear correction to the longitudinal structure function at small x

Abstract

We computed the longitudinal proton structure function $F_L$, using the nonlinear Dokshitzer-Gribov-Lipatov-Altarelli-parisi (NLDGLAP) evolution equation approach at small $x$. For the gluon distribution, the nonlinear effects are related to the longitudinal structure function. As, the very small $x$ behavior of the gluon distribution is obtained by solving the Gribov, Levin, Ryskin, Mueller and Qiu (GLR-MQ) evolution equation with the nonlinear shadowing term incorporated. We show, the strong rise that is corresponding to the linear QCD evolution equations, can be tamed by screening effects. Consequently, the obtained longitudinal structure function shows a tamed growth at small $x$. We computed the predictions for all detail of the nonlinear longitudinal structure function in the kinematic range where it has been measured by $H1$ collaboration and compared with computation Moch, Vermaseren and Vogt at the second order with input data from MRST QCD fit.

4 pages, 1 figures. arXiv admin note: substantial text overlap with arXiv:1402.0864, arXiv:1402.0752

References in corpus (2)

• Shadowing correction to the gluon distribution behavior at small x
• Hard- Pomeron behavior of the Longitudinal Structure Function $F_L$ in the Next- to- Leading- Order at low $x$

Cited by in corpus (12)

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• Parton Distribution Functions of Heavy Mesons on the Light Front
• Nonlinear GLR-MQ evolution equation and Q^2-evolution of gluon distribution function
• Longitudinal structure function from logarithmic slopes of $F_2$ at low $x$
• Analytical approach for the approximate solution of the longitudinal structure function with respect to the GLR-MQ equation at small x
• The behavior of the structure function by using the effective exponent at low-x
• The Color Dipole Picture and extracting the ratio of structure functions at small $x$
• Nonlinear corrections on the parameterization methods
• Effect of the parameterization of the distribution functions on the longitudinal structure function at small $x$
• The study of the gluon distribution function and reduced cross section behavior using the proton structure function
• Analysis of the logarithmic slope of $F_2$ from the Regge gluon density behavior at small $x$
• Non-linear corrections to the longitudinal structure function $F_L$ from the parametrization of $F_2$: Laplace transform approach