Order α_s^2 Contributions to charm production in charged-current deep-inelastic lepton-hadron scattering

Abstract

The most important part of the order ${\alpha }_s^2$ corrections to the charm component of the charged-current structure functions $F_2(x,Q^2)$ and $F_3(x,Q^2)$ have been calculated. This calculation is based on the asymptotic form of the heavy-quark coefficient functions corresponding to the higher order corrections to the W-boson-gluon fusion process. These coefficient functions which are in principle only valid for $Q^2\gg m^2$ can be also used to estimate the order ${\alpha }_s^2$ contributions at lower $Q^2$ values provided $x<0.1$. It turns out that the above corrections are appreciable in the large $Q^2$-region and they explain the discrepancy found for the structure functions between the fixed-flavour scheme (FFS) and the variable-flavour-number scheme (VFNS). These corrections also hamper the extraction of the strange-quark density from the data obtained for the charged-current and the electromagnetic-current processes.

45 pages LaTeX, 17 Postscript Figures

Cited by in corpus (44)

• Parton distributions for the LHC
• A facility to Search for Hidden Particles at the CERN SPS: the SHiP physics case
• New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC
• Parton Distribution Functions, ${\alpha }_s$ and Heavy-Quark Masses for LHC Run II
• Impact of Heavy Quark Masses on Parton Distributions and LHC Phenomenology
• Heavy quarks in deep-inelastic scattering
• A Variable-Flavour Number Scheme for NNLO
• Heavy-quark mass dependence in global PDF analyses and 3- and 4-flavour parton distributions
• The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function $F_2(x,Q^2)$ and Transversity
• The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function $F_2(x,Q^2)$ and the Anomalous Dimension
• MRST partons generated in a fixed-flavour scheme
• Effect of changes of variable flavor number scheme on parton distribution functions and predicted cross sections
• The Theory of Deeply Inelastic Scattering
• Hadron structure in high-energy collisions
• Heavy-quark deep-inelastic scattering with a running mass
• Iterated Binomial Sums and their Associated Iterated Integrals
• The Longitudinal Heavy Quark Structure Function F_{L}^{Q\bar{Q}} in the Region Q^2 \gg m^2 at O(α_s^3)
• General-mass treatment for deep inelastic scattering at two-loop accuracy
• Massive 3-loop Ladder Diagrams for Quarkonic Local Operator Matrix Elements
• The Logarithmic Contributions to the O(α_s^3) Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering
• Determination of Strange Sea Quark Distributions from Fixed-target and Collider Data
• The massless three-loop Wilson coefficients for the deep-inelastic structure functions $F_2,F_L,x{F}_3$ and $g_1$
• 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
• The $O({\alpha }_s^3{n}_f{T}_F^2{C}_{A,F})$} Contributions to the Gluonic Massive Operator Matrix Elements
• The $O({\alpha }_s^2)$ Heavy Quark Corrections to Charged Current Deep-Inelastic Scattering at large Virtualities
• The O(α_s^3 T_F^2) Contributions to the Gluonic Operator Matrix Element
• Three Loop Massive Operator Matrix Elements and Asymptotic Wilson Coefficients with Two Different Masses
• Heavy Quark Hadroproduction in Perturbative QCD
• $O({\alpha }_s)$ Heavy Flavor Corrections to Charged Current Deep-Inelastic Scattering in Mellin Space
• The O(α_s^3) Heavy Flavor Contributions to the Charged Current Structure Function xF_3(x,Q^2) at Large Momentum Transfer
• Towards parton distribution functions with small-$x$ resummation: HELL 2.0
• The Unpolarized and Polarized Single-Mass Three-Loop Heavy Flavor Operator Matrix Elements $A_{gg,Q}$ and $\Delta A_{gg,Q}$
• General heavy-flavor mass scheme for charged-current DIS at NNLO and beyond
• Differential Distributions for NLO Analyses of Charged Current Neutrino-Production of Charm
• Heavy Quark Production in the ACOT Scheme at NNLO and N3LO
• The Asymptotic 3-Loop Heavy Flavor Corrections to the Charged Current Structure Functions $F_L^{W^{+}-W^{-}}(x,Q^2)$ and $F_2^{W^{+}-W^{-}}(x,Q^2)$
• The Two-Loop Massless Off-Shell QCD Operator Matrix Elements to Finite Terms
• Predictions for Neutrino Structure Functions
• Heavy Quarks in DIS (Theory)
• O(α_s^3) contributions to F_L^{Q\bar{Q}}(x,Q^2) for large virtualities
• Deep inelastic lepton-hadron scattering as a test of perturbative QCD
• Proton structure at the LHC
• Heavy-Flavour Production at HERA
• Probing the strange content of the proton with charm production in charged current at LHeC