The Longitudinal Heavy Quark Structure Function F_{L}^{Q\bar{Q}} in the Region Q^2 \gg m^2 at O(α_s^3)

Abstract

The logarithmic and constant contributions to the Wilson coefficient of the longitudinal heavy quark structure function to $O({\alpha }_s^3)$ are calculated using mass factorization techniques in Mellin space. The small $x$ behaviour of the Wilson coefficient is determined. Numerical illustrations are presented.

15 pages, 3 figures, 1 style file

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• The Theory of Deeply Inelastic Scattering
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• The O(α_s^3) Massive Operator Matrix Elements of O(n_f) for the Structure Function F_2(x,Q^2) and Transversity
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• The Logarithmic Contributions to the O(α_s^3) Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering
• The Complete $O({\alpha }_s^2)$ Non-Singlet Heavy Flavor Corrections to the Structure Functions $g_{1,2}^{ep}(x,Q^2)$, $F_{1,2,L}^{ep}(x,Q^2)$, $F_{1,2,3}^{\nu (\bar{\nu })}(x,Q^2)$ and the Associated Sum Rules
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• Variable Flavor Number Parton Distributions and Weak Gauge and Higgs Boson Production at Hadron Colliders at NNLO of QCD
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• Two-loop QED Operator Matrix Elements with Massive External Fermion Lines
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• $O({\alpha }_s^2)$ and $O({\alpha }_s^3)$ Heavy Flavor Contributions to Transversity at $Q^2\gg m^2$
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• Subleading Logarithmic QED Initial State Corrections to $e^{+}{e}^{-}\to {\gamma }^{\ast }/{Z^0}^{\ast }$ to $O({\alpha }^6{L}^5)$
• The Polarized Two-Loop Massive Pure Singlet Wilson Coefficient for Deep-Inelastic Scattering
• On the Perturbative Stability of the QCD Predictions for the Ratio $R=F_L/F_T$ in Heavy-Quark Leptoproduction
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• The unpolarized two-loop massive pure singlet Wilson coefficients for deep-inelastic scattering
• $O({\alpha }_s^2$) Polarized Heavy Flavor Corrections}to Deep-Inelastic Scattering at $Q^2\gg m^2$
• 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
• Heavy Quarks: Lessons Learned from HERA and Tevatron
• First $O({\alpha }_s^3)$ heavy flavor contributions to deeply inelastic scattering
• Heavy Flavor DIS Wilson coefficients in the asymptotic regime
• Effect of the parameterization of the distribution functions on the longitudinal structure function at small $x$
• The behavior of the heavy-quarks structure functions at small-$x$
• Higher Order Heavy Quark Corrections to Deep-Inelastic Scattering
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• Structural Relations between Nested Harmonic Sums
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