115 citations · 115 across the 1 of their papers we have counts for
4 papers
The parameter at three loops and elliptic integrals
J. Blümlein, A. De Freitas, M. van Hoeij +3
We describe the analytic calculation of the master integrals required to compute the two-mass three-loop corrections to the parameter. In particular, we present the calculation…
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…
Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams
J. Ablinger, J. Blümlein, A. De Freitas +5
We calculate 3-loop master integrals for heavy quark correlators and the 3-loop QCD corrections to the -parameter. They obey non-factorizing differential equations of second ord…
Computing Hypergeometric Solutions of Second Order Linear Differential Equations using Quotients of Formal Solutions and Integral Bases
Erdal Imamoglu, Mark van Hoeij
We present two algorithms for computing hypergeometric solutions of second order linear differential operators with rational function coefficients. Our first algorithm searches for…