The predictions of the charm structure function exponents behaviour at low x in deep inelastic scattering

Abstract

We use the hard (Lipatov) pomeron for the low-x gluon distribution and provide a compact formula for the ratio $R^c=F_L^c/F_2^c$ that is useful to extract the charm structure function from the reduced charm cross-section, in particular at DESY HERA. Our results show that this ratio is independent of x and independent of the DGLAP evolution of the gluon PDF. As a result, we show that the charm structure function and the reduced charm cross-section exponents do not have the same behaviour at very low x. This difference is independent of the input gluon distribution functions and predicts the non-linear effects and some evidence for shadowing and antishadowing at HERA and RHIC.

6 pages,4 figures

References in corpus (3)

• Dynamical parton distributions of the nucleon and very small-x physics
• 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

Cited by in corpus (11)

• Top structure function at the LHeC
• The ratio of the beauty structure functions $R^b=F_L^b/F_2^b$ at low x
• Geometrical scaling in charm structure function ratios
• The Color Dipole Picture and extracting the ratio of structure functions at small $x$
• A Phenomenological Solution Small $x$ to the Longitudinal Structure Function Dynamical Behavior
• Nuclear longitudinal structure function in eA processes at the LHeC
• Effect of the parameterization of the distribution functions on the longitudinal structure function at small $x$
• The exponent of the longitudinal structure function $F_L$ at low $x$
• Importance of the heavy-quarks longitudinal structure function measurements at future circular collider energies
• Influence of gluon behavior on heavy-quark pair production
• Geometrical scaling of heavy-quark contributions in the low $x$ region