Evolution of the longitudinal structure function at small x

Abstract

We derive an approximation approach to evolution of the longitudinal structure function, by using a Laplace-transform method. We solve the master equation and derive the longitudinal structure function as a function of the initial condition $F_L(x,Q_0^2)$ at small x. Our results are independent of the longitudinal coefficient functions and extend from the leading order (LO) up to next-to-next-to-leading order (NNLO). The comparisons with H1 data and other parameterizations are made and results show that they are in agreement with H1 data and some phenomenological models.

8pages,3figures

References in corpus (3)

• MRST partons generated in a fixed-flavour scheme
• NLO jet vertex from Lipatov's QCD effective action
• Description of F2 and FL at small x using a collinearly-improved BFKL resummation

Cited by in corpus (6)

• Analytical approaches to the determination of spin-dependent parton distribution functions at NNLO approximation
• 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 $x$
• Physical limits in the Color Dipole Model Bounds
• A determination of the longitudinal structure function $F_L$ from the parametrization of $F_2$ based on the Laplace transformation