The behavior of the heavy-quarks structure functions at small-$x$

Abstract

The behavior of the charm and bottom structure functions ($F_k^i(x,Q^2)$, i=c,b; k=2,L) at small-$x$ is considered with respect to the hard-Pomeron and saturation models. Having checked that this behavior predicate the heavy flavor reduced cross sections concerning the unshadowed and shadowed corrections. We will show that the effective exponents for the unshadowed and saturation corrections are independent of $x$ and $Q^2$, and also the effective coefficients are dependent to $\ln Q^2$ compared to Donnachie-Landshoff (DL) and color dipole (CD) models.

References in corpus (5)

• Dynamical parton distributions of the nucleon and very small-x physics
• The Longitudinal Heavy Quark Structure Function F_{L}^{Q\bar{Q}} in the Region Q^2 \gg m^2 at O(α_s^3)
• Heavy-quark contributions to the ratio F_L/F_2 at low x
• On the Perturbative Stability of the QCD Predictions for the Ratio $R=F_L/F_T$ in Heavy-Quark Leptoproduction
• Charm and longitudinal structure functions with the Kharzeev-Levin-Nardi model

Cited by in corpus (5)

• Nonlinear effects in gluon distribution predicted by GLR-MQ evolution equation at next-to-leading order in LHC data
• Importance of the heavy-quarks longitudinal structure function measurements at future circular collider energies
• Heavy quark structure functions from unifying the color dipole picture and double asymptotic scaling approaches
• Influence of gluon behavior on heavy-quark pair production
• Geometrical scaling of heavy-quark contributions in the low $x$ region