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Review of lattice results concerning low-energy particle physics

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  • S. Aoki
  • Y. Aoki
  • D. Becirevic
  • C. Bernard
  • T. Blum
  • G. Colangelo
  • M. Della Morte
  • P. Dimopoulos
  • S. Dürr
  • H. Fukaya
  • M. Golterman
  • Steven Gottlieb
  • S. Hashimoto
  • U. M. Heller
  • A. Jüttner
  • T. Kaneko
  • L. Lellouch
  • H. Leutwyler
  • C. -J. D. Lin
  • V. Lubicz
  • E. Lunghi
  • R. Mawhinney
  • T. Onogi
  • C. Pena
  • C. T. Sachrajda
  • S. R. Sharpe
  • S. Simula
  • R. Sommer
  • A. Vladikas
  • U. Wenger
  • H. Wittig

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Original languageEnglish
Article number112
JournalEuropean Physical Journal C
Issue number77
Publication statusPublished - 17 Feb 2017


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 f+(0), arising in the semileptonic K -> pi transition at zero momentum transfer, as well as the decay constant ratio fK/fpi and its consequences for the CKM matrix elements Vus and Vud. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of SU(2)LxSU(2)R and SU(3)LxSU(3)R Chiral Perturbation Theory. We review the determination of the BK 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 mc and mb (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 alpha_s.

    Research areas

  • hep-lat, hep-ph

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