https://doi.org/10.1140/epjc/s10052-019-7351-x
Regular Article - Theoretical Physics
Calculations for deep inelastic scattering using fast interpolation grid techniques at NNLO in QCD and the extraction of 
from HERA data
1
Max-Planck-Institut für Physik, Föhringer Ring 6, 80805, Munich, Germany
2
Institute for Particle Physics Phenomenology, Durham University, DH1 3LE, Durham, UK
3
Institute for Theoretical Physics, ETH, Wolfgang-Pauli-Strasse 27, 8093, Zurich, Switzerland
4
Physik-Institut, Universität Zürich, Winterthurerstrasse 190, 8057, Zurich, Switzerland
5
Department of Physics, The University of Oxford, OX1 3PU, Oxford, UK
6
Theoretical Physics Department, CERN, 1211, Geneva 23, Switzerland
7
CFTP, Instituto Superior Técnico, Universidade de Lisboa, 1049-001, Lisbon, Portugal
8
LIP, Avenida Professor Gama Pinto 2, 1649-003, Lisbon, Portugal
9
Institut für Experimentelle Teilchenphysik (ETP), Karlsruhe Institute of Technology (KIT), Wolgang-Gaede-Str. 1, 76131, Karlsruhe, Germany
10
Department of Physics and Astronomy, The University of Sussex, BN1 9RH, Brighton, UK
Received:
29
June
2019
Accepted:
27
September
2019
Published online:
14
October
2019
The extension of interpolation-grid frameworks for perturbative QCD calculations at next-to-next-to-leading order (NNLO) is presented for deep inelastic scattering (DIS) processes. A fast and flexible evaluation of higher-order predictions for any a posteriori choice of parton distribution functions (PDFs) or value of the strong coupling constant is essential in iterative fitting procedures to extract PDFs and Standard Model parameters as well as for a detailed study of the scale dependence. The APPLfast project, described here, provides a generic interface between the parton-level Monte Carlo program NNLOjet and both the APPLgrid and fastNLO libraries for the production of interpolation grids at NNLO accuracy. Details of the interface for DIS processes are presented together with the required interpolation grids at NNLO, which are made available. They cover numerous inclusive jet measurements by the H1 and ZEUS experiments at HERA. An extraction of the strong coupling constant is performed as an application of the use of such grids and a best-fit value of 
is obtained using the HERA inclusive jet cross section data.
© The Author(s) 2019
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.
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