https://doi.org/10.1140/epjc/s10052-019-6865-6
Regular Article - Theoretical Physics
NNLO final-state quark-pair corrections in four dimensions
1
Physikalisches Institut, Albert-Ludwigs-Universitat Freiburg, 79104, Freiburg, Germany
2
Present address: Institut de Physique Théorique, CEA, CNRS, Université Paris-Saclay, 91191, Gif-sur-Yvette Cedex, France
3
Departamento de Física Teórica y del Cosmos and CAFPE, Universidad de Granada, Campus Fuentenueva s.n., 18071, Granada, Spain
* e-mail: pittau@ugr.es
Received:
21
January
2019
Accepted:
8
April
2019
Published online:
25
April
2019
We describe how NNLO final state quark-pair corrections are computed in FDR by directly enforcing gauge invariance and unitarity in the definition of the regularized divergent integrals. We give details of our approach and show how virtual and real contributions can be merged together without relying, explicitly or implicitly, on dimensional regularization. As an example, we recompute the 
and 
inclusive rates at the NNLO accuracy in the large 
limit of QCD. This demonstrates, for the first time, that physical results with intermediate infrared singularities can be obtained at NNLO using a fully four-dimensional procedure.
© The Author(s), 2019
