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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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Showing 2014 · hep-phShow all

9 papers · 2 filters

hep-ph2014★ 6 cited

Higher Order Heavy Quark Corrections to Deep-Inelastic Scattering

J. Blümlein, A. De Freitas, C. Schneider

The 3-loop heavy flavor corrections to deep-inelastic scattering are essential for consistent next-to-next-to-leading order QCD analyses. We report on the present status of the cal…

hep-ph2014★ 1 cited

3-loop Massive Contributions to the DIS Operator Matrix Element

J. Ablinger, J. Blümlein, A. De Freitas +4

Contributions to heavy flavour transition matrix elements in the variable flavour number scheme are considered at 3-loop order. In particular a calculation of the diagrams with two…

hep-ph2014★ 118 cited

The 3-Loop Pure Singlet Heavy Flavor Contributions to the Structure Function and the Anomalous Dimension

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

The pure singlet asymptotic heavy flavor corrections to 3-loop order for the deep-inelastic scattering structure function and the corresponding transition matrix eleme…

hep-ph2014★ 14 cited

Non-planar Feynman integrals, Mellin-Barnes representations, multiple sums

Johannes Blümlein, Ievgen Dubovyk, Janusz Gluza +4

The construction of Mellin-Barnes (MB) representations for non-planar Feynman diagrams and the summation of multiple series derived from general MB representations are discussed. A…

hep-ph2014

Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering

A. Ablinger, A. Behring, J. Blümlein +7

We report on our latest results in the calculation of the three-loop heavy flavor contributions to the Wilson coefficients in deep-inelastic scattering in the asymptotic region $Q^…

hep-ph2014★ 2 cited

3-Loop Heavy Flavor Corrections in Deep-Inelastic Scattering with Two Heavy Quark Lines

J. Ablinger, J. Blümlein, A. De Freitas +5

We consider gluonic contributions to the heavy flavor Wilson coefficients at 3-loop order in QCD with two heavy quark lines in the asymptotic region . Here we r…

hep-ph2014★ 119 cited

The 3-Loop Non-Singlet Heavy Flavor Contributions and Anomalous Dimensions for the Structure Function and Transversity

J. Ablinger, A. Behring, J. Blümlein +6

We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the structure function in the asymptotic region and…

hep-ph2014★ 78 cited

Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms

Jakob Ablinger, Johannes Blümlein, Clemens Raab +2

We calculate convergent 3-loop Feynman diagrams containing a single massive loop equipped with twist local operator insertions corresponding to spin . They contribute to t…

hep-ph2014★ 87 cited

The Transition Matrix Element A_{gq}(N) of the Variable Flavor Number Scheme at O(α_s^3)

J. Ablinger, J. Blümlein, A. De Freitas +5

We calculate the massive operator matrix element to 3-loop order in Quantum Chromodynamics at general values of the Mellin variable . This is the first complet…