The ratio of the beauty structure functions $R^b=F_L^b/F_2^b$ at low x

Abstract

We study the structure functions $F_k^b(x,Q^2)$ ($k=2,L$) and the reduced cross section ${\sigma }_r^b(x,Q^2)$ for small values of Bjorken${}^{,}$s $x$ variable with respect to the hard (Lipatov) pomeron for the gluon distribution and provide a compact formula for the ratio $R^b$ that is useful to extract the beauty structure function from the beauty reduced cross section, in particular at DESY HERA. Also we show that the effects of the nonlinear corrections to the gluon distribution tame the behavior of the beauty structure function and the beauty reduced cross section at low $x$.

12 pages, 5 figurs, 1 table. arXiv admin note: text overlap with arXiv:hep-ph/0603017 by other authors

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
• Beauty photoproduction at HERA: kt-factorization versus experimental data

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• 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
• Parton distribution functions with QED corrections in the valon model
• Influence of gluon behavior on heavy-quark pair production
• Collinear approach for top quark production at ep colliders
• Geometrical scaling of heavy-quark contributions in the low $x$ region