225 citations · 3.5k across the 94 of their papers we have counts for
118 papers
The -extension of iterated integrals and nested sums in quantum field theory
J. Blümlein, A. M. Gavrilik, O. Mykhailiv +1
Analytic calculations of zero- and single-scale quantities in perturbative quantum field theory result into special numbers and functions, the first of which have been revealed dur…
Creative Telescoping for Hypergeometric Double Sums
Peter Paule, Carsten Schneider
We present efficient methods for calculating linear recurrences of hypergeometric double sums and, more generally, of multiple sums. In particular, we supplement this approach with…
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…
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…
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…
Refined telescoping algorithms in -extensions to reduce the degrees of the denominators
Carsten Schneider
We present a general framework in the setting of difference ring extensions that enables one to find improved representations of indefinite nested sums such that the arising denomi…