On the longitudinal structure function in the dipole model

Abstract

We compare new HERA data for the longitudinal structure function $F_{\mathrm{L}}$ with the predictions of different variants of the dipole model. In particular we show that the ratio $F_{\mathrm{L}}/F_2$ is well described by the dipole models and is rather insensitive to the details of the fit. Fits to $F_2$ are performed with the help of geometrical scaling (GS). Using the property of GS we derive the bounds for $F_{\mathrm{L}}/F_2$ both for the different versions of the dipole model and in the general case. Finally we briefly discuss how the higher Fock components of the photon wave function may affect these bounds.

19 pages, 11 figures, v3 to be published in Acta Physica Polonica B

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Cited by in corpus (12)

• The Color Dipole Picture and extracting the ratio of structure functions at small $x$
• Longitudinal structure function from the parton parameterization
• Ratio of the structure functions and the color dipole model bound
• Higher order approximations to the longitudinal structure function $F_L$ from the parametrization of $F_2$ based on the Laplace transformation
• The color dipole model bounds with the gluon-gluon recombination correction
• The exponent of the longitudinal structure function $F_L$ at low $x$
• Physical limits in the Color Dipole Model Bounds
• Heavy quark structure functions from unifying the color dipole picture and double asymptotic scaling approaches
• Reduced cross section and gluon distribution in a momentum-space approach
• The Proton Gluon Distribution from the Color Dipole Picture
• Longitudinal Structure Function at the Limit $x=Q^2/s$
• Investigation of the ratio $\frac{{\sigma }_r}{F_2}(Q^2/s,Q^2)$ in the momentum-space approach