225 citations · 3.5k across the 94 of their papers we have counts for
10 papers · 1 filter
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…
Towards a symbolic summation theory for unspecified sequences
Peter Paule, Carsten Schneider
The article addresses the problem whether indefinite double sums involving a generic sequence can be simplified in terms of indefinite single sums. Depending on the structure of th…
Computer algebra tools for Feynman integrals and related multi-sums
Johannes Blümlein, Carsten Schneider
In perturbative calculations, e.g., in the setting of Quantum Chromodynamics (QCD) one aims at the evaluation of Feynman integrals. Here one is often faced with the problem to simp…
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…