K. Wichmann

Running of the Charm-Quark Mass from HERA Deep-Inelastic Scattering Data

Combined HERA data on charm production in deep-inelastic scattering have previously been used to determine the charm-quark running mass mc(mc) in the MS renormalisation scheme. Here, the same data are used as a function of the photon virtuality Q to evaluate the charm-quark running mass at different scales to one-loop order, in the context of a nextto-leading order QCD analysis. The scale dependence of the mass is found to be consistent with QCD expectations. A. Gizhko, A. Geiser, S. Moch, I. Abt, O. Behnke, A. Bertolin, J. Blümlein, D. Britzger, R. Brugnera, A. Buniatyan, P.J. Bussey, R. Carlin, A.M. Cooper-Sarkar , K. Daum, S. Dusini, E. Elsen, L. Favart, J. Feltesse, B. Foster, A. Garfagnini, M. Garzelli, J. Gayler, D. Haidt, J. Hladkỳ, A.W. Jung, M. Kapichine, I.A. Korzhavina , B.B. Levchenko, K. Lipka, M. Lisovyi, A. Longhin, S. Mikocki, Th. Naumann, G. Nowak, E. Paul, R. Plačakytė, K. Rabbertz, S. Schmitt, L.M. Shcheglova, Z. Si, H. Spiesberger , L. Stanco, P. Truöl, T. Tymieniecka, A. Verbytskyi, K. Wichmann, M. Wing, A.F. Żarnecki, O. Zenaiev, Z. Zhang 1 Inter-University Institute for High Energies ULB-VUB, Brussels and Universiteit Antwerpen, Antwerpen, Belgium 2 School of Physics and Astronomy, University of Birmingham, Birmingham, UK 3 Physikalisches Institut der Universität Bonn, Bonn, Germany 4 Joint Institute for Nuclear Research, Dubna, Russia 5 Irfu/SPP, CE-Saclay, Gif-sur-Yvette, France 6 School of Physics and Astronomy, University of Glasgow, Glasgow, United Kingdom 7 II. Institute for Theoretical Physics, Hamburg University, Hamburg, Germany 8 Institut für Experimentalphysik, Universität Hamburg, Hamburg, Germany 9 Deutsches Elektronen-Synchrotron DESY, Hamburg, Germany 10 Kirchhoff-Institut für Physik, Universität Heidelberg, Heidelberg, Germany 11 Karlsruher Institut für Technologie, Karlsruhe, Germany 12 The Henryk Niewodniczanski Institute of Nuclear Physics, Polish Academy of Sciences, Krakow, Poland 13 Physics and Astronomy Department, University College London, London, United Kingdom 14 PRISMA Cluster of Excellence, Institut fur Physik, Johannes Gutenberg-Universität, Mainz, Germany, and Centre for Theoretical and Mathematical Physics and Department of Physics, University of Cape Town, Rondebosch 7700, South Africa 15 Lomonosov Moscow State University, Skobeltsyn Institute of Nuclear Physics, Moscow, Russia 16 Max-Planck-Institut für Physik, München, Germany 17 LAL, Université Paris-Sud, CNRS/IN2P3, Orsay, France 18 Department of Physics, University of Oxford, Oxford, United Kingdom 19 INFN Padova, Padova, Italy 20 Dipartimento di Fisica e Astronomia dell’ Università and INFN, Padova, Italy 21 Institute of Physics, Academy of Sciences of the Czech Republic, Praha, Czech Republic 22 Shandong University, Jinan, Shandong Province, P.R. China 23 Faculty of Physics, University of Warsaw, Warsaw, Poland 24 National Centre for Nuclear Research, Warsaw, Poland 25 Fachbereich C, Universität Wuppertal, Wuppertal, Germany 26 Deutsches Elektronen-Synchrotron DESY, Zeuthen, Germany 27 Physik-Institut der Universität Zürich, Zürich, Switzerland a1 Alexander von Humboldt Professor; also at DESY and University of Oxford a2 Now at Fermilab, Chicago, USA, and Purdue University, West Lafayette, USA a3 Now at CERN, Geneva, Switzerland a4 Also supported by DESY and the Alexander von Humboldt Foundation a5 Now at Physikalisches Institut, Universität Heidelberg, Germany a6 Also at University of Bristol, UK. b1 Supported by FNRS-FWO-Vlaanderen, IISN-IIKW and IWT and by Interuniversity Attraction Poles Programme, Belgian Science Policy b2 Supported by the UK Science and Technology Facilities Council b3 Supported by the Italian National Institute for Nuclear Physics (INFN) b4 Supported by the German Federal Ministry for Education and Research (BMBF), under contract No. 05 H09PDF b5 Supported by the Alexander von Humboldt Foundation b6 Supported by the Bundesministerium für Bildung und Forschung, FRG, under contract number 05H09GUF b7 Supported by the SFB 676 of the Deutsche Forschungsgemeinschaft (DFG) b8 Partially Supported by RF Presidential grant NSh-7989.2016.2 b9 Partially Supported by Polish Ministry of Science and Higher Education, grant DPN/N168/DESY/2009 b10 Supported by the Ministry of Education of the Czech Republic under the project INGO-LG14033 b11 Supported by the Swiss National Science Foundation