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20052026
most citedHarmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials

225 citations · 3.5k across the 94 of their papers we have counts for

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hep-ph2023★ 1 cited

Computing Mellin representations and asymptotics of nested binomial sums in a symbolic way: the RICA package

Johannes Bluemlein, Nikolai Fadeev, Carsten Schneider

Nested binomial sums form a particular class of sums that arise in the context of particle physics computations at higher orders in perturbation theory within QCD and QED, but that…

hep-ph2023

Analytic results on the massive three-loop form factors: quarkonic contributions

Johannes Blümlein, Abilio De Freitas, Peter Marquard +2

The quarkonic contributions to the three-loop heavy-quark form factors for vector, axial-vector, scalar and pseudoscalar currents are described by closed form difference equations…

hep-ph2023

Recent 3-Loop Heavy Flavor Corrections to Deep-Inelastic Scattering

J. Ablinger, A. Behring, J. Blümlein +5

We report on recent progress in calculating the three loop QCD corrections of the heavy flavor contributions in deep--inelastic scattering and the massive operator matrix elements…

hep-ph2022★ 23 cited

The Unpolarized and Polarized Single-Mass Three-Loop Heavy Flavor Operator Matrix Elements and

J. Ablinger, A. Behring, J. Blümlein +3

We calculate the gluonic massive operator matrix elements in the unpolarized and polarized cases, and , at three-loop order for a single mass. T…

hep-ph2022★ 62 cited

The massless three-loop Wilson coefficients for the deep-inelastic structure functions and

J. Blümlein, P. Marquard, C. Schneider +1

We calculate the massless unpolarized Wilson coefficients for deeply inelastic scattering for the structure functions in the $\overline{\sf M…

hep-ph2022★ 14 cited

The Two-Loop Massless Off-Shell QCD Operator Matrix Elements to Finite Terms

J. Blümlein, P. Marquard, C. Schneider +1

We calculate the unpolarized and polarized two--loop massless off--shell operator matrix elements in QCD to in the dimensional parameter in an automated way. Here…