The exponent of the longitudinal structure function $F_L$ at low $x$

Abstract

We present a set of formula to extract exponents of the longitudinal structure function and reduced cross section from the Regge-like behavior at small $x$. The exponents are found to be independent of $Q^2$ at NNLO analysis. As a result, we show that the reduced cross section exponents do not have the same behavior at some values of $x$. This difference predicts the non-linear effects and some evidence for shadowing and antishadowing at LHeC. Also the ratio $\frac{F_2}{\sigma }$ is calculated and compared with the corresponding HERA data. Our calculations show a very good agreement with the DIS experimental data throughout the small values of $x$.

References in corpus (37)

• Deep-Inelastic Inclusive ep Scattering at Low x and a Determination of alpha_s
• High-Energy Factorization and Small-X Deep Inelastic Scattering Beyond Leading Order
• Small x: Two Pomerons!
• The Longitudinal Structure Function at the Third Order
• Rates for Inclusive Deep-Inelastic Electroproduction of Charm Quarks at HERA
• The hard to soft Pomeron transition in small x DIS data using optimal renormalization
• A new approach to parton recombination in a QCD evolution equation
• Perturbative Evolution and Regge Behaviour
• The proton's gluon distribution
• The impact of the final HERA combined data on PDFs obtained from a global fit
• Charm and beauty quark masses in the MMHT2014 global PDF analysis
• Heavy-quark contributions to the ratio F_L/F_2 at low x
• Transition from soft- to hard-Pomeron in the structure functions of hadrons at small-$x$ from holography
• The Ratio $R=F_L/F_T$ in DIS as a Probe of the Charm Content of the Proton
• Measurements of the Separated Longitudinal Structure Function F_L from Hydrogen and Deuterium Targets at Low Q^2
• F_L proton structure function from the unified DGLAP/BFKL approach
• Search for single production of vector-like top partners at the Large Hadron Electron Collider
• The Color Dipole Picture of low-x DIS: Model-Independent and Model-Dependent Results
• Longitudinal structure function from logarithmic slopes of $F_2$ at low $x$
• The BFKL-Regge factorization and $F_2^b$, $F_2^c$, $F_L$ at HERA: physics implications of nodal properties of the BFKL eigenfunctions
• Longitudinal structure function FL at small x extracted from the Berger-Block-Tan parametrization of F2
• Moments of the longitudinal proton structure function F_L from global data in the Q^2 range 0.75-45.0 (GeV/c)^2
• Pomeron effective intercept, logarithmic derivatives of $F_2(x,Q^2)$ in DIS and Regge models
• On the Energy Dependence of the Dipole-Proton Cross Section in Deep Inelastic Scattering
• The New F_L Measurement from HERA and the Dipole Model
• On the longitudinal structure function in the dipole model
• The ratio of the beauty structure functions $R^b=F_L^b/F_2^b$ at low x
• The predictions of the charm structure function exponents behaviour at low x in deep inelastic scattering
• Antishadowing effects in the unitarized BFKL equation
• NLO corrections to the hard pomeron behavior of the charm structure functions $F_k^c(k=2,L)$ at low x
• The behavior of the structure function by using the effective exponent at low-x
• A Phenomenological Solution Small $x$ to the Longitudinal Structure Function Dynamical Behavior
• The hard pomeron intercept and the data on the proton unpolarized structure function
• Ratio of the structure functions and the color dipole model bound
• Evolution of the longitudinal structure function at small x
• EMC effect in the next-to-leading order approximation based on the Laplace transformation
• Coefficient Functions and Open Charm Production in Deep Inelastic Scattering

Cited by in corpus (7)

• An Evaluation of The Proton Structure Functions $F_2$ and $F_L$ at Small $x$
• The Color Dipole Picture and extracting the ratio of structure functions at small $x$
• Longitudinal structure function from the parton parameterization
• Higher order approximations to the longitudinal structure function $F_L$ from the parametrization of $F_2$ based on the Laplace transformation
• Effect of the parameterization of the distribution functions on the longitudinal structure function at small $x$
• Importance of the heavy-quarks longitudinal structure function measurements at future circular collider energies
• A determination of the longitudinal structure function $F_L$ from the parametrization of $F_2$ based on the Laplace transformation