This report reviews the study of open heavy-flavour and quarkonium production in high-energy hadronic collisions, as tools to investigate fundamental aspects of Quantum Chromodynamics, from the proton and nucleus structure at high energy to deconfinement and the properties of the Quark-Gluon Plasma. Emphasis is given to the lessons learnt from LHC Run 1 results, which are reviewed in a global picture with the results from SPS and RHIC at lower energies, as well as to the questions to be addressed in the future. The report covers heavy flavour and quarkonium production in proton-proton, proton-nucleus and nucleus-nucleus collisions. This includes discussion of the effects of hot and cold strongly interacting matter, quarkonium photoproduction in nucleus-nucleus collisions and perspectives on the study of heavy flavour and quarkonium with upgrades of existing experiments and new experiments. The report results from the activity of the SaporeGravis network of the I3 Hadron Physics programme of the European Union 7[Formula: see text] Framework Programme.

Departamento de Física Centro Científico Tecnológico de Valparaíso Universidad Técnica Federico Santa María Valparaiso Chile

Departamento de Física de Partículas IGFAE Universidad de Santiago de Compostela Santiago de Compostela Spain

Department of Applied Physics Nanjing University of Science and Technology Nanjing China

Department of Physics and Astronomy Cyclotron Institute Texas A and M University College Station USA

Department of Physics and Technology University of Bergen Bergen Norway

Department of Physics Duke University Durham USA

Department of Physics Kent State University Kent USA

Department of Physics University of Cape Town Cape Town South Africa

Department of Theoretical Physics Tata Institute of Fundamental Research Mumbai India

European Organization for Nuclear Research Geneva Switzerland

Excellence Cluster Universe Technische Universität München Munich Germany

Faculty of Nuclear Sciences and Physical Engineering Czech Technical University Prague Prague Czech Republic

Faculty of Science Institute for Subatomic Physics Utrecht University Utrecht The Netherlands ; National Institute for Subatomic Physics Amsterdam The Netherlands

Fakultät für Physik Universität Bielefeld Bielefeld Germany

FIAS Institute for Theoretical Physics Frankfurt Germany

INFN Laboratori Nazionali di Frascati Frascati Italy

Institut für Theoretische Physik Johann Wolfgang Goethe Universität Frankfurt am Main Germany

Institute of Physics Belgrade University of Belgrade Belgrade Serbia

Institute of Physics University of Tokyo Tokyo Japan

Institute of Physics University of Tokyo Tokyo Japan ; Key Laboratory of Quark and Lepton Physics Institute of Particle Physics Central China Normal University Wuhan China

Iowa State University Ames USA

IPN Lyon Université de Lyon Université Lyon 1 CNRS IN2P3 Villeurbanne France

IPNO Univ Paris Sud CNRS IN2P3 Université Paris Saclay 91406 Orsay Cedex France

IPNO Univ Paris Sud CNRS IN2P3 Université Paris Saclay 91406 Orsay Cedex France ; SUBATECH Ecole des Mines de Nantes Université de Nantes CNRS IN2P3 Nantes France ; LAL Univ Paris Sud CNRS IN2P3 Université Paris Saclay Orsay France

IRFU SPhN CEA Saclay 91191 Gif sur Yvette Cedex France

Laboratoire de Physique Corpusculaire Université Clermont Auvergne Université Blaise Pascal CNRS IN2P3 Clermont Ferrand France

Laboratoire de Physique Subatomique et de Cosmologie Université Grenoble Alpes CNRS IN2P3 Grenoble France

Laboratoire Leprince Ringuet Ecole Polytechnique CNRS IN2P3 Université Paris Saclay Palaiseau France

Laboratoire Leprince Ringuet Ecole Polytechnique CNRS IN2P3 Université Paris Saclay Palaiseau France ; Laboratoire d'Annecy le Vieux de Physique Théorique Université de Savoie CNRS Annecy le Vieux France

LAL Univ Paris Sud CNRS IN2P3 Université Paris Saclay Orsay France

Physics Department Collaborative Innovation Center of Quantum Matter Tsinghua University Beijing China

Physics Division Lawrence Livermore National Laboratory Livermore USA ; Physics Department University of California Davis USA

Physikalisches Institut Ruprecht Karls Universität Heidelberg Heidelberg Germany

Research Division ExtreMe Matter Institute GSI Helmholzzentrum für Schwerionenforschung Darmstadt Germany

Sezione di Padova INFN Padua Italy

Sezione di Torino INFN Turin Italy

SUBATECH Ecole des Mines de Nantes Université de Nantes CNRS IN2P3 Nantes France

SUBATECH Ecole des Mines de Nantes Université de Nantes CNRS IN2P3 Nantes France ; Department of High Energy Physics Saint Petersburg State University Ulyanovskaya 1 Saint Petersburg Russia

Theoretical Division Los Alamos National Laboratory Los Alamos USA

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Prompt and non-prompt J / ψ and ψ ( 2 S ) suppression at high transverse momentum in 5.02 TeV Pb+Pb collisions with the ATLAS experiment

Energy dependence of forward-rapidity [Formula: see text] and [Formula: see text] production in pp collisions at the LHC

Suppression and azimuthal anisotropy of prompt and nonprompt [Formula: see text] production in PbPb collisions at [Formula: see text][Formula: see text]

Measurement of the prompt J/[Formula: see text] pair production cross-section in pp collisions at [Formula: see text] TeV with the ATLAS detector

Inclusive quarkonium production at forward rapidity in pp collisions at [Formula: see text]TeV