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 $x$.

arXiv comment12 pages, 5 figurs, 1 table. arXiv admin note: text overlap with arXiv:hep-ph/0603017 by other authors

References in corpus (44)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• The Renormalization Group Equation for the Color Glass Condensate
• Geometric scaling for the total gamma^* p cross section in the low x region
• Saturation and BFKL dynamics in the HERA data at small x
• High-Energy Factorization and Small-X Deep Inelastic Scattering Beyond Leading Order
• Geometric Scaling above the Saturation Scale
• Dynamical parton distributions of the nucleon and very small-x physics
• Rates for Inclusive Deep-Inelastic Electroproduction of Charm Quarks at HERA
• Higgs-Boson Production in Association with a Single Bottom Quark
• Is There a Significant Excess in Bottom Hadroproduction at the Tevatron?
• Proton structure function at small Q^2
• QCD Corrections to Scalar Production via Heavy Quark Fusion at Hadron Colliders
• Measurement of the Charm and Beauty Structure Functions using the H1 Vertex Detector at HERA
• Measurement of F_2^ccbar and F_2^bbbar at High Q^2 using the H1 Vertex Detector at HERA
• Measurement of F_2^{c\bar{c}} and F_2^{b\bar{b}} at Low Q^2 and x using the H1 Vertex Detector at HERA
• Measurement of Open Beauty Production at HERA
• The Longitudinal Heavy Quark Structure Function F_{L}^{Q\bar{Q}} in the Region Q^2 \gg m^2 at O(α_s^3)
• New data and the hard pomeron
• Nonlinear corrections to the DGLAP equations in view of the HERA data
• Physical Anomalous Dimensions at Small $x$
• Geometric Scaling in Inclusive Charm Production
• The proton's gluon distribution
• The contribution of off-shell gluons to the structure functions F_2^c and F_L^c$ and the unintegrated gluon distributions
• Analytic derivation of the leading-order gluon distribution function G(x,Q^2) = xg(x,Q^2) from the proton structure function F_2^p(x,Q^2)
• Charm production at HERA
• Perturbative QCD and Regge theory: closing the circle
• The color dipole BFKL-Regge expansion: from DIS on protons to pions to rise of hadronic cross sections
• A new evolution equation
• Heavy-quark contributions to the ratio F_L/F_2 at low x
• The Ratio $R=F_L/F_T$ in DIS as a Probe of the Charm Content of the Proton
• How open charm production and scaling violations probe the rightmost hard BFKL pole exchange
• On the Perturbative Stability of the QCD Predictions for the Ratio $R=F_L/F_T$ in Heavy-Quark Leptoproduction
• The BFKL-Regge factorization and $F_2^b$, $F_2^c$, $F_L$ at HERA: physics implications of nodal properties of the BFKL eigenfunctions
• Saturation and geometric scaling in DIS at small x
• Beauty, charm and $F_L$ at HERA: new data vs. early predictions
• The Challenge of Small x
• Beauty photoproduction at HERA: kt-factorization versus experimental data
• The predictions of the charm structure function exponents behaviour at low x in deep inelastic scattering
• NLO corrections to the hard pomeron behavior of the charm structure functions $F_k^c(k=2,L)$ at low x
• The Ratio of the Charm Structure Functions $F_k^c(k=2,L)$ at Low x in Deep Inelastic Scattering with Respect to the Expansion Method
• Diffractive beauty photoproduction as a short distance probe of QCD pomeron
• Perturbative evolution at small x

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• Importance of the heavy-quarks longitudinal structure function measurements at future circular collider energies
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