225 citations · 3.5k across the 94 of their papers we have counts for
8 papers · 2 filters
Automated Solution of First Order Factorizable Systems of Differential Equations in One Variable
J. Ablinger, J. Blümlein, P. Marquard +2
We present an algorithm which allows to solve analytically linear systems of differential equations which factorize to first order. The solution is given in terms of iterated integ…
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…
Analytic Computing Methods for Precision Calculations in Quantum Field Theory
Johannes Blümlein, Carsten Schneider
An overview is presented on the current status of main mathematical computation methods for the multi-loop corrections to single scale observables in quantum field theory and the a…
Two-mass three-loop effects in deep-inelastic scattering
J. Ablinger, J. Blümlein, A. De Freitas +3
We report on recent results on the two-mass corrections for massive operator matrix elements at 2- and 3-loop orders in QCD. These corrections form the building blocks of the varia…
Massive three loop form factors in the planar limit
Jakob Ablinger, Johannes Bluemlein, Peter Marquard +2
We present the color planar and complete light quark QCD contributions to the three loop heavy quark form factors in the case of vector, axial-vector, scalar and pseudo-scalar curr…
Heavy Quark Form Factors at Three Loops in the Planar Limit
J. Ablinger, J. Blümlein, P. Marquard +2
We compute the color-planar and complete light quark non-singlet contributions to the heavy quark form factors in the case of the axialvector, scalar and pseudoscalar currents at t…
The Variable Flavor Number Scheme at Next-to-Leading Order
J. Blümlein, A. De Freitas, C. Schneider +1
We present the matching relations of the variable flavor number scheme at next-to-leading order, which are of importance to define heavy quark partonic distributions for the use at…
The Two-mass Contribution to the Three-Loop Gluonic Operator Matrix Element
J. Ablinger, J. Blümlein, A. De Freitas +3
We calculate the two-mass QCD contributions to the massive operator matrix element at in analytic form in Mellin - and -space, maintaining th…