The Asymptotic 3-Loop Heavy Flavor Corrections to the Charged Current Structure Functions $F_L^{W^{+}-W^{-}}(x,Q^2)$ and $F_2^{W^{+}-W^{-}}(x,Q^2)$

Abstract

We calculate the massive Wilson coefficients for the heavy flavor contributions to the non-singlet charged current deep-inelastic scattering structure functions $F_L^{W^{+}}(x,Q^2)-F_L^{W^{-}}(x,Q^2)$ and $F_2^{W^{+}}(x,Q^2)-F_2^{W^{-}}(x,Q^2)$ in the asymptotic region $Q^2\gg m^2$ to 3-loop order in Quantum Chromodynamics (QCD) at general values of the Mellin variable $N$ and the momentum fraction $x$. Besides the heavy quark pair production, also the single heavy flavor excitation $s\to c$ contributes. Numerical results are presented for the charm quark contributions and consequences on the unpolarized Bjorken sum rule and Adler sum rule are discussed.

arXiv comment27 pages, 8 figures

References in corpus (28)

• Harmonic Polylogarithms
• A Large Hadron Electron Collider at CERN: Report on the Physics and Design Concepts for Machine and Detector
• Harmonic sums, Mellin transforms and Integrals
• Harmonic Sums and Mellin Transforms up to two-loop Order
• The ABM parton distributions tuned to LHC data
• Deep Inelastic Structure Functions at two Loops
• Heavy quark coefficient functions at asymptotic values $Q^2\gg m^2$
• Algebraic Relations Between Harmonic Sums and Associated Quantities
• Mellin Moments of the {$O({\alpha }_s^3$)} Heavy Flavor Contributions to unpolarized Deep-Inelastic Scattering at $Q^2\gg m^2$ and Anomalous Dimensions
• Electron Ion Collider: The Next QCD Frontier - Understanding the glue that binds us all
• Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra
• 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
• The Theory of Deeply Inelastic Scattering
• On the Twist 2 and Twist 3 Contributions to the Spin-dependent Electroweak Structure Functions
• HECTOR 1.00 - A program for the calculation of QED, QCD and electroweak corrections to ep and lN deep inelastic neutral and charged current scattering
• Precise charm-quark mass from deep-inelastic scattering
• Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms
• Order α_s^2 Contributions to charm production in charged-current deep-inelastic lepton-hadron 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
• The $O({\alpha }_s^2)$ Heavy Quark Corrections to Charged Current Deep-Inelastic Scattering at large Virtualities
• The 3-Loop Non-Singlet Heavy Flavor Contributions to the Structure Function g_1(x,Q^2) at Large Momentum Transfer
• $O({\alpha }_s)$ 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
• Charged current deep-inelastic scattering at three loops
• Detailed Next-to-Leading Order Analysis of Deep Inelastic Neutrino Induced Charm Production off Strange Sea Partons
• Non-singlet coefficient functions for charged-current deep-inelastic scattering to the third order in QCD
• QCD and power corrections to sum rules in deep-inelastic lepton-nucleon scattering

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