papers
Publications (3)
hep-th2017
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 or…
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-ph2018
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 calculatio…