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20102021
most citedA Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics

146 citations · 409 across the 15 of their papers we have counts for

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Showing 2018Show all

7 papers · 1 filter

hep-ph2018

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…

hep-ph2018

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…

hep-ph2018

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…

hep-ph2018

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…

hep-ph2018

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…

hep-ph2018

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…