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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 2017Show all

7 papers · 1 filter

hep-th2017

Special functions, transcendentals and their numerics

Jakob Ablinger, Johannes Blumlein, Mark Round +1

Cyclotomic polylogarithms are reviewed and new results concerning the special constants that occur are presented. This also allows some comments on previous literature results usin…

hep-ph2017

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…

hep-ph2017

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…

hep-ph2017

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…

hep-ph201736 cited

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…

hep-ph201755 cited

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…