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Aoki S, Aoki Y, Bečirević D, Bernard C, Blum T, Colangelo G, Della Morte M, Dimopoulos P, Dürr S, Fukaya H, Golterman M, Gottlieb S, Hashimoto S, Heller UM, Horsley R, Jüttner A, Kaneko T, Lellouch L, Leutwyler H, Lin CJD, Lubicz V, Lunghi E, Mawhinney R, Onogi T, Pena C, Sachrajda CT, Sharpe SR, Simula S, Sommer R, Vladikas A, Wenger U, Wittig H. Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG). THE EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS 2017; 77:112. [PMID: 29033670 PMCID: PMC5588406 DOI: 10.1140/epjc/s10052-016-4509-7] [Citation(s) in RCA: 82] [Impact Index Per Article: 10.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/06/2016] [Accepted: 11/11/2016] [Indexed: 06/07/2023]
Abstract
We review lattice results related to pion, kaon, D- and B-meson physics with the aim of making them easily accessible to the particle-physics community. More specifically, we report on the determination of the light-quark masses, the form factor [Formula: see text], arising in the semileptonic [Formula: see text] transition at zero momentum transfer, as well as the decay constant ratio [Formula: see text] and its consequences for the CKM matrix elements [Formula: see text] and [Formula: see text]. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of [Formula: see text] and [Formula: see text] Chiral Perturbation Theory. We review the determination of the [Formula: see text] parameter of neutral kaon mixing as well as the additional four B parameters that arise in theories of physics beyond the Standard Model. The latter quantities are an addition compared to the previous review. For the heavy-quark sector, we provide results for [Formula: see text] and [Formula: see text] (also new compared to the previous review), as well as those for D- and B-meson-decay constants, form factors, and mixing parameters. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. Finally, we review the status of lattice determinations of the strong coupling constant [Formula: see text].
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Affiliation(s)
- S. Aoki
- Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto, 606-8502 Japan
| | - Y. Aoki
- Kobayashi-Maskawa Institute for the Origin of Particles and the Universe (KMI), Nagoya University, Nagoya, 464-8602 Japan
- Brookhaven National Laboratory, RIKEN BNL Research Center, Upton, NY 11973 USA
- High Energy Accelerator Research Organization (KEK), Tsukuba, 305-0801 Japan
| | - D. Bečirević
- Laboratoire de Physique Théorique (UMR8627), CNRS, Université Paris-Sud, Université Paris-Saclay, 91405 Orsay, France
| | - C. Bernard
- Department of Physics, Washington University, Saint Louis, MO 63130 USA
| | - T. Blum
- Brookhaven National Laboratory, RIKEN BNL Research Center, Upton, NY 11973 USA
- Physics Department, University of Connecticut, Storrs, CT 06269-3046 USA
| | - G. Colangelo
- Albert Einstein Center for Fundamental Physics, Institut für Theoretische Physik, Universität Bern, Sidlerstr. 5, 3012 Bern, Switzerland
| | - M. Della Morte
- CP3-Origins and Danish IAS, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark
- IFIC (CSIC), c/ Catedrático José Beltrán, 2, 46980 Paterna, Spain
| | - P. Dimopoulos
- Centro Fermi-Museo Storico della Fisica e Centro Studi e Ricerche Enrico Fermi Compendio del Viminale, Piazza del Viminiale 1, 00184 Rome, Italy
- c/o Dipartimento di Fisica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy
| | - S. Dürr
- University of Wuppertal, Gaußstraße 20, 42119 Wuppertal, Germany
- Jülich Supercomputing Center, Forschungszentrum Jülich, 52425 Jülich, Germany
| | - H. Fukaya
- Department of Physics, Osaka University, Toyonaka, Osaka 560-0043 Japan
| | - M. Golterman
- Department of Physics and Astronomy, San Francisco State University, San Francisco, CA 94132 USA
| | - Steven Gottlieb
- Department of Physics, Indiana University, Bloomington, IN 47405 USA
| | - S. Hashimoto
- High Energy Accelerator Research Organization (KEK), Tsukuba, 305-0801 Japan
- School of High Energy Accelerator Science, The Graduate University for Advanced Studies (Sokendai), Tsukuba, 305-0801 Japan
| | - U. M. Heller
- American Physical Society (APS), One Research Road, Ridge, NY 11961 USA
| | - R. Horsley
- Higgs Centre for Theoretical Physics, School of Physics and Astronomy, University of Edinburgh, Edinburgh, EH9 3FD UK
| | - A. Jüttner
- School of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ UK
| | - T. Kaneko
- High Energy Accelerator Research Organization (KEK), Tsukuba, 305-0801 Japan
- School of High Energy Accelerator Science, The Graduate University for Advanced Studies (Sokendai), Tsukuba, 305-0801 Japan
| | - L. Lellouch
- Centre de Physique Théorique, UMR 7332, CNRS, Aix-Marseille Université, Université de Toulon, 13288 Marseille, France
| | - H. Leutwyler
- Albert Einstein Center for Fundamental Physics, Institut für Theoretische Physik, Universität Bern, Sidlerstr. 5, 3012 Bern, Switzerland
| | - C.-J. D. Lin
- Centre de Physique Théorique, UMR 7332, CNRS, Aix-Marseille Université, Université de Toulon, 13288 Marseille, France
- Institute of Physics, National Chiao-Tung University, Hsinchu, 30010 Taiwan
| | - V. Lubicz
- Dipartimento di Matematica e Fisica, Università Roma Tre, Via della Vasca Navale 84, 00146 Rome, Italy
- Sezione di Roma Tre, INFN, Via della Vasca Navale 84, 00146 Rome, Italy
| | - E. Lunghi
- Department of Physics, Indiana University, Bloomington, IN 47405 USA
| | - R. Mawhinney
- Physics Department, Columbia University, New York, NY 10027 USA
| | - T. Onogi
- Department of Physics, Osaka University, Toyonaka, Osaka 560-0043 Japan
| | - C. Pena
- Departamento de Física Teórica, Instituto de Física Teórica UAM/CSIC, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain
| | - C. T. Sachrajda
- School of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ UK
| | - S. R. Sharpe
- Physics Department, University of Washington, Seattle, WA 98195-1560 USA
| | - S. Simula
- Sezione di Roma Tre, INFN, Via della Vasca Navale 84, 00146 Rome, Italy
| | - R. Sommer
- John von Neumann Institute for Computing (NIC), DESY, Platanenallee 6, 15738 Zeuthen, Germany
| | - A. Vladikas
- Sezione di Tor Vergata, INFN, c/o Dipartimento di Fisica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy
| | - U. Wenger
- Albert Einstein Center for Fundamental Physics, Institut für Theoretische Physik, Universität Bern, Sidlerstr. 5, 3012 Bern, Switzerland
| | - H. Wittig
- PRISMA Cluster of Excellence, Institut für Kernphysik and Helmholtz Institute Mainz, University of Mainz, 55099 Mainz, Germany
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Aoki S, Aoki Y, Bernard C, Blum T, Colangelo G, Della Morte M, Dürr S, El-Khadra AX, Fukaya H, Horsley R, Jüttner A, Kaneko T, Laiho J, Lellouch L, Leutwyler H, Lubicz V, Lunghi E, Necco S, Onogi T, Pena C, Sachrajda CT, Sharpe SR, Simula S, Sommer R, Van de Water RS, Vladikas A, Wenger U, Wittig H. Review of lattice results concerning low-energy particle physics. THE EUROPEAN PHYSICAL JOURNAL. C, PARTICLES AND FIELDS 2014; 74:2890. [PMID: 25972762 PMCID: PMC4410391 DOI: 10.1140/epjc/s10052-014-2890-7] [Citation(s) in RCA: 25] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/03/2013] [Accepted: 05/05/2014] [Indexed: 05/28/2023]
Abstract
We review lattice results related to pion, kaon, [Formula: see text]- and [Formula: see text]-meson physics with the aim of making them easily accessible to the particle-physics community. More specifically, we report on the determination of the light-quark masses, the form factor [Formula: see text], arising in semileptonic [Formula: see text] transition at zero momentum transfer, as well as the decay-constant ratio [Formula: see text] of decay constants and its consequences for the CKM matrix elements [Formula: see text] and [Formula: see text]. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of [Formula: see text] and [Formula: see text] Chiral Perturbation Theory and review the determination of the [Formula: see text] parameter of neutral kaon mixing. The inclusion of heavy-quark quantities significantly expands the FLAG scope with respect to the previous review. Therefore, we focus here on [Formula: see text]- and [Formula: see text]-meson decay constants, form factors, and mixing parameters, since these are most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. In addition we review the status of lattice determinations of the strong coupling constant [Formula: see text].
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Affiliation(s)
| | - S. Aoki
- Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto, 606-8502 Japan
| | - Y. Aoki
- Kobayashi-Maskawa Institute for the Origin of Particles and the Universe (KMI), Nagoya University, Nagoya, 464-8602 Japan
- RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, NY 11973 USA
| | - C. Bernard
- Department of Physics, Washington University, Saint Louis, MO 63130 USA
| | - T. Blum
- RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, NY 11973 USA
- Physics Department, University of Connecticut, Storrs, CT 06269-3046 USA
| | - G. Colangelo
- Albert Einstein Center for Fundamental Physics, Institut für theoretische Physik, Universität Bern, Sidlerstr. 5, 3012 Bern, Switzerland
| | - M. Della Morte
- CP3-Origins & Danish IAS, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark
- IFIC (CSIC), c/ Catedrático José Beltrán, 2, 46980 Paterna, Spain
| | - S. Dürr
- Bergische Universität Wuppertal, Gaußstraße 20, 42119 Wuppertal, Germany
- Jülich Supercomputing Center, Forschungszentrum Jülich, 52425 Jülich, Germany
| | - A. X. El-Khadra
- Department of Physics, University of Illinois, Urbana, IL 61801 USA
| | - H. Fukaya
- Department of Physics, Osaka University, Toyonaka, Osaka, 560-0043 Japan
| | - R. Horsley
- School of Physics, University of Edinburgh, Edinburgh, EH9 3JZ UK
| | - A. Jüttner
- School of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ UK
| | - T. Kaneko
- High Energy Accelerator Research Organization (KEK), Ibaraki, 305-0801 Japan
| | - J. Laiho
- SUPA, Department of Physics and Astronomy, University of Glasgow, Glasgow, G12 8QQ UK
- Present Address: Department of Physics, Syracuse University, Syracuse, New York USA
| | - L. Lellouch
- Aix-Marseille Université, CNRS, CPT, UMR 7332, 13288 Marseille, France
- Université de Toulon, CNRS, CPT, UMR 7332, 83957 La Garde, France
| | - H. Leutwyler
- Albert Einstein Center for Fundamental Physics, Institut für theoretische Physik, Universität Bern, Sidlerstr. 5, 3012 Bern, Switzerland
| | - V. Lubicz
- Dipartimento di Matematica e Fisica, Università Roma Tre, Via della Vasca Navale 84, 00146 Rome, Italy
- INFN, Sezione di Roma Tre, Via della Vasca Navale 84, 00146 Rome, Italy
| | - E. Lunghi
- Physics Department, Indiana University, Bloomington, IN 47405 USA
| | - S. Necco
- Albert Einstein Center for Fundamental Physics, Institut für theoretische Physik, Universität Bern, Sidlerstr. 5, 3012 Bern, Switzerland
| | - T. Onogi
- Department of Physics, Osaka University, Toyonaka, Osaka, 560-0043 Japan
| | - C. Pena
- Instituto de Física Teórica UAM/CSIC and Departamento de Física Teórica, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain
| | - C. T. Sachrajda
- School of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ UK
| | - S. R. Sharpe
- Physics Department, University of Washington, Seattle, WA 98195-1560 USA
| | - S. Simula
- INFN, Sezione di Roma Tre, Via della Vasca Navale 84, 00146 Rome, Italy
| | - R. Sommer
- NIC @ DESY, Platanenallee 6, 15738 Zeuthen, Germany
| | | | - A. Vladikas
- INFN, Sezione di Tor Vergata, c/o Dipartimento di Fisica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy
| | - U. Wenger
- Albert Einstein Center for Fundamental Physics, Institut für theoretische Physik, Universität Bern, Sidlerstr. 5, 3012 Bern, Switzerland
| | - H. Wittig
- PRISMA Cluster of Excellence, Institut für Kernphysik and Helmholtz Institute Mainz, University of Mainz, 55099 Mainz, Germany
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