Publications (14)
Numerical Implementation of Harmonic Polylogarithms to Weight w = 8
J. Ablinger, J. Blümlein, M. Round +1
We present the FORTRAN-code HPOLY.f for the numerical calculation of harmonic polylogarithms up to w = 8 at an absolute accuracy of or better. Using algeb…
Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering
A. Ablinger, A. Behring, J. Blümlein +7
We report on our latest results in the calculation of the three-loop heavy flavor contributions to the Wilson coefficients in deep-inelastic scattering in the asymptotic region $Q^…
3-Loop Corrections to the Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering
J. Ablinger, A. Behring, J. Blümlein +7
A survey is given on the status of 3-loop heavy flavor corrections to deep-inelastic structure functions at large enough virtualities .
The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function and Transversity
J. Ablinger, A. Behring, J. Blümlein +6
We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the structure function in the asymptotic region and…
Advanced Computer Algebra Algorithms for the Expansion of Feynman Integrals
J. Ablinger, S. Blümlein, M. Round +1
Two-point Feynman parameter integrals, with at most one mass and containing local operator insertions in $4+\ep$-dimensional Minkowski space, can be transformed to multi-integrals…
3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering with Two Heavy Quark Lines
J. Ablinger, J. Blümlein, A. De Freitas +5
We consider gluonic contributions to the heavy flavor Wilson coefficients at 3-loop order in QCD with two heavy quark lines in the asymptotic region . Here we r…
Three-Loop Contributions to the Gluonic Massive Operator Matrix Elements at General Values of N
J. Ablinger, J. Blümlein, A. De Freitas +6
Recent results on the calculation of 3-loop massive operator matrix elements in case of one and two heavy quark masses are reported. They concern the and $O(…
The Transition Matrix Element A_{gq}(N) of the Variable Flavor Number Scheme at O(α_s^3)
J. Ablinger, J. Blümlein, A. De Freitas +5
We calculate the massive operator matrix element to 3-loop order in Quantum Chromodynamics at general values of the Mellin variable . This is the first complet…
New Results on the 3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering
A. Behring, J. Blümlein, A. De Freitas +8
We report on recent progress in the calculation of the 3-loop massive Wilson coefficients in deep-inelastic scattering at general values of for neutral and charged current reac…
New Results on Massive 3-Loop Wilson Coefficients in Deep-Inelastic Scattering
J. Ablinger, A. Behring, J. Blümlein +7
We present recent results on newly calculated 2- and 3-loop contributions to the heavy quark parts of the structure functions in deep-inelastic scattering due to charm and bottom.
3-loop heavy flavor Wilson coefficients in deep-inelastic scattering
J. Ablinger, A. Behring, J. Blümlein +7
We present our most recent results on the calculation of the heavy flavor contributions to deep-inelastic scattering at 3-loop order in the large limit, where the heavy flavo…
The O(α_s^3 T_F^2) Contributions to the Gluonic Operator Matrix Element
J. Ablinger, J. Blümlein, A. De Freitas +4
The contributions to the transition matrix element relevant for the variable flavor number scheme at 3--loop order are calculated. The corres…
Recent Results on the 3-Loop Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering
J. Blümlein, A. De Freitas, C. Raab +6
We report on recent progress in the calculation of the 3-loop massive Wilson coefficients in deep-inelastic scattering at general values of for neutral and charged current reac…
3-loop Massive Contributions to the DIS Operator Matrix Element
J. Ablinger, J. Blümlein, A. De Freitas +4
Contributions to heavy flavour transition matrix elements in the variable flavour number scheme are considered at 3-loop order. In particular a calculation of the diagrams with two…