225 citations · 3.5k across the 94 of their papers we have counts for
9 papers · 2 filters
The massive 3-loop operator matrix elements with two masses and the generalized variable flavor number scheme
J. Ablinger, J. Blümlein, A. De Freitas +4
We report on our latest results in the calculation of the two--mass contributions to 3--loop operator matrix elements (OMEs). These OMEs are needed to compute the corresponding con…
Iterative and Iterative-Noniterative Integral Solutions in 3-Loop Massive QCD Calculations
J. Ablinger, A. Behring, J. Blümlein +6
Various of the single scale quantities in massless and massive QCD up to 3-loop order can be expressed by iterative integrals over certain classes of alphabets, from the harmonic p…
Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering: Recent Results
J. Ablinger, A. Behring, J. Blümlein +3
We present recent analytic results for the 3-loop corrections to the massive operator matrix element for further color factors. These results have been obtained using…
The two-mass contribution to the three-loop pure singlet operator matrix element
J. Ablinger, J. Blümlein, A. De Freitas +2
We present the two-mass QCD contributions to the pure singlet operator matrix element at three loop order in x-space. These terms are relevant for calculating the structure functio…
Heavy quark form factors at two loops in perturbative QCD
J. Ablinger, A. Behring, J. Blümlein +5
We present the results for heavy quark form factors at two-loop order in perturbative QCD for different currents, namely vector, axial-vector, scalar and pseudo-scalar currents, up…
The Three Loop Two-Mass Contribution to the Gluon Vacuum Polarization
J. Blümlein, A. De Freitas, C. Schneider +1
We calculate the two-mass contribution to the 3-loop vacuum polarization of the gluon in Quantum Chromodynamics at virtuality for general masses and also present the anal…
Three Loop Massive Operator Matrix Elements and Asymptotic Wilson Coefficients with Two Different Masses
J. Ablinger, J. Blümlein, A. De Freitas +3
Starting at 3-loop order, the massive Wilson coefficients for deep-inelastic scattering and the massive operator matrix elements describing the variable flavor number scheme receiv…
The Three-Loop Splitting Functions and
J. Ablinger, A. Behring, J. Blümlein +3
We calculate the unpolarized twist-2 three-loop splitting functions and and the associated anomalous dimensions using massive three-loop…
The Method of Arbitrarily Large Moments to Calculate Single Scale Processes in Quantum Field Theory
Johannes Blümlein, Carsten Schneider
We device a new method to calculate a large number of Mellin moments of single scale quantities using the systems of differential and/or difference equations obtained by integratio…