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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 2019Show all

7 papers · 1 filter

hep-ph201937 cited

The three-loop single mass polarized pure singlet operator matrix element

J. Ablinger, A. Behring, J. Blümlein +4

We calculate the massive polarized three-loop pure singlet operator matrix element in the single mass case in the Larin scheme. This operator matrix element…

hep-ph201925 cited

The three-loop polarized pure singlet operator matrix element with two different masses

J. Ablinger, J. Blümlein, A. De Freitas +3

We present the two-mass QCD contributions to the polarized pure singlet operator matrix element at three loop order in -space. These terms are relevant for calculating the polar…

cs.SC2019

qFunctions -- A Mathematica package for -series and partition theory applications

Jakob Ablinger, Ali K. Uncu

We describe the qFunctions Mathematica package for -series and partition theory applications. This package includes both experimental and symbolic tools. The experimental set of…

math.CO2019

Proving two conjectural series for and discovering more series for

Jakob Ablinger

We give a proof of two identities involving binomial sums at infinity conjectured by Z-W Sun. In order to prove these identities, we use a recently presented method i.e. we view th…

hep-ph2019

Three loop heavy quark form factors and their asymptotic behavior

J. Ablinger, J. Blümlein, P. Marquard +2

A summary of the calculation of the color-planar and complete light quark contributions to the massive three-loop form factors is presented. Here a novel calculation method for the…

hep-ph2019

Three loop QCD corrections to heavy quark form factors

J. Ablinger, J. Blümlein, P. Marquard +2

Higher order calculations in perturbative Quantum Field Theories often produce coupled linear systems of differential equations which factorize to first order. Here we present an a…