3-Loop Heavy Flavor Corrections to DIS with two Massive Fermion Lines

Abstract

We report on recent results obtained for the massive operator matrix elements which contribute to the massive Wilson coefficients in deep-inelastic scattering for $Q^2\gg m_i^2$ in case of sub-processes with two fermion lines and different mass assignment.

5 pages, several style files, Proceedings of DIS 2011

References in corpus (13)

• Harmonic Sums and Mellin Transforms up to two-loop Order
• The 3-, 4-, and 5-flavor NNLO Parton from Deep-Inelastic-Scattering Data and at Hadron Colliders
• Algebraic Relations Between Harmonic Sums and Associated Quantities
• Anomalous Dimension of Non-Singlet Wilson Operators at O(1/N_f) in Deep Inelastic Scattering
• A Refined Difference Field Theory for Symbolic Summation
• The O(α_s^3) Massive Operator Matrix Elements of O(n_f) for the Structure Function F_2(x,Q^2) and Transversity
• Modern Summation Methods and the Computation of 2- and 3-loop Feynman Diagrams
• Mellin Representation for the Heavy Flavor Contributions to Deep Inelastic Structure Functions
• NNLO Benchmarks for Gauge and Higgs Boson Production at TeV Hadron Colliders
• $O({\alpha }_s)$ Heavy Flavor Corrections to Charged Current Deep-Inelastic Scattering in Mellin Space
• Parameterized Telescoping Proves Algebraic Independence of Sums
• Structural Relations between Harmonic Sums up to w=6
• Logarithmic $O({\alpha }_s^3)$ contributions to the DIS Heavy Flavor Wilson Coefficients at $Q^2\gg m^2$

Cited by in corpus (13)

• Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms
• 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
• Evaluation of Multi-Sums for Large Scale Problems
• The three-loop single mass polarized pure singlet operator matrix element
• The three-loop polarized pure singlet operator matrix element with two different masses
• New Heavy Flavor Contributions to the DIS Structure Function $F_2(x,Q^2)$ at $O(α_s^3)
• The Two-mass Contribution to the Three-Loop Polarized Operator Matrix Element $A_{gg,Q}^{(3)}$
• Higher Order Heavy Quark Corrections to Deep-Inelastic Scattering
• 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering with Two Heavy Quark Lines
• 3-loop Massive $O(T_F^2)$ Contributions to the DIS Operator Matrix Element $A_{gg}$
• Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering
• DIS2011 Heavy Flavours Session Summary (WG5)