https://doi.org/10.1140/epjc/s10052-021-09394-0
Erratum
Erratum to: Determination of the strong coupling constant 
in next-to-next-to-leading order QCD using H1 jet cross section measurements
1
I. Physikalisches Institut der RWTH, Aachen, Germany
2
School of Physics and Astronomy, University of Birmingham, Birmingham, UK
3
Inter-University Institute for High Energies ULB-VUB, Brussels and Universiteit Antwerpen, Antwerp, Belgium
4
Horia Hulubei National Institute for R&D in Physics and Nuclear Engineering (IFIN-HH), Bucharest, Romania
5
STFC, Rutherford Appleton Laboratory, Didcot, Oxfordshire, UK
6
Institute of Nuclear Physics, Polish Academy of Sciences, 31342, Kraków, Poland
7
Institut für Physik, TU Dortmund, Dortmund, Germany
8
Joint Institute for Nuclear Research, Dubna, Russia
9
Irfu/SPP, CE Saclay, Gif-sur-Yvette, France
10
DESY, Hamburg, Germany
11
Institut für Experimentalphysik, Universität Hamburg, Hamburg, Germany
12
Physikalisches Institut, Universität Heidelberg, Heidelberg, Germany
13
Department of Physics, University of Lancaster, Lancaster, UK
14
Department of Physics, University of Liverpool, Liverpool, UK
15
School of Physics and Astronomy, Queen Mary University of London, London, UK
16
Aix Marseille Université, CNRS/IN2P3, CPPM UMR 7346, 13288, Marseille, France
17
Departamento de Fisica Aplicada, CINVESTAV, Mérida, Yucatán, Mexico
18
Institute for Theoretical and Experimental Physics, Moscow, Russia
19
Lebedev Physical Institute, Moscow, Russia
20
Max-Planck-Institut für Physik, Munich, Germany
21
LAL, Université Paris-Sud, CNRS/IN2P3, Orsay, France
22
LLR, Ecole Polytechnique, CNRS/IN2P3, Palaiseau, France
23
Faculty of Science, University of Montenegro, Podgorica, Montenegro
24
Institute of Physics, Academy of Sciences of the Czech Republic, Prague, Czech Republic
25
Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic
26
Dipartimento di Fisica, Università di Roma Tre and INFN Roma 3, Rome, Italy
27
Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria
28
Institute of Physics and Technology of the Mongolian Academy of Sciences, Ulaanbaatar, Mongolia
29
Paul Scherrer Institute, Villigen, Switzerland
30
Fachbereich C, Universität Wuppertal, Wuppertal, Germany
31
Yerevan Physics Institute, Yerevan, Armenia
32
DESY, Zeuthen, Germany
33
Institut für Teilchenphysik, ETH Zürich, Zurich, Switzerland
34
Physik-Institut der Universität Zürich, Zurich, Switzerland
35
IPNL, Université Claude Bernard Lyon 1, CNRS/IN2P3, Villeurbanne, France
36
Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia
37
CERN, Geneva, Switzerland
38
Ulaanbaatar University, Ulaanbaatar, Mongolia
39
Department of Physics, University of Toronto, M5S 1A7, Toronto, ON, Canada
40
LAPP, Université de Savoie, CNRS/IN2P3, Annecy-le-Vieux, France
41
II. Physikalisches Institut, Universität Göttingen, Göttingen, Germany
42
Institute for Information Transmission Problems RAS, Moscow, Russia
43
Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, Russian Federation
44
Department of Physics, Oxford University, Oxford, UK
45
Department of Physics and Astronomy, Purdue University, 525 Northwestern Ave, 47907, West Lafayette, IN, USA
46
Department of Physics and Astronomy, Vrije University, De Boelelaan, 1081, Amsterdam, The Netherlands
47
National Institute for Subatomic Physics (NIKHEF), Science Park 105, Amsterdam, The Netherlands
48
Institute for Particle Physics Phenomenology, Ogden Centre for Fundamental Physics, Durham University, South Road, Durham, UK
49
Karlsruher Institut für Technologie (KIT), Institut für Experimentelle Teilchenphysik (ETP), Wolfgang-Gaede-Str. 1, Karlsruhe, Germany
50
Department of Physics and Astronomy, University of Sussex, Pevensey II, Brighton, UK
Received:
16
June
2021
Accepted:
28
June
2021
Published online:
16
August
2021
The determination of the strong coupling constant 
from H1 inclusive and dijet cross section data [1] exploits perturbative QCD predictions in next-to-next-to-leading order (NNLO) [2–4]. An implementation error in the NNLO predictions was found [4] which changes the numerical values of the predictions and the resulting values of the fits. Using the corrected NNLO predictions together with inclusive jet and dijet data, the strong coupling constant is determined to be 
. Complementarily, is determined together with parton distribution functions of the proton (PDFs) from jet and inclusive DIS data measured by the H1 experiment. The value 
obtained is consistent with the determination from jet data alone. Corrected figures and numerical results are provided and the discussion is adapted accordingly.
© The Author(s) 2021
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Funded by SCOAP3
