Review of lattice results concerning low-energy particle physics

S. Aoki (1) , Y. Aoki (2, 3) , D. Becirevic (4) , C. Bernard (5) , T. Blum (6) , G. Colangelo (7) , M. Della Morte (8) , P. Dimopoulos (9) , S. Dürr (10, 11) , H. Fukaya (12) , M. Golterman (13) , Steven Gottlieb (14) , S. Hashimoto (15) , U. M. Heller (16) , R. Horsley (17) , A. Jüttner (18) , T. Kaneko (19) , Laurent Lellouch (20, 21) , H. Leutwyler (7) , C. -J. D. Lin (22, 20, 21) , V. Lubicz (23) , E. Lunghi (14) , R. Mawhinney (24) , T. Onogi (12) , C. Pena (25) , C. T. Sachrajda (18) , S. R. Sharpe (26) , S. Simula (23) , R. Sommer (27) , A. Vladikas (28) , U. Wenger (7) , H. Wittig (29, 30)

1 YITP - Yukawa Institute for Theoretical Physics [Kyoto]
2 Kobayashi-Maskawa Institute
3 RBRC - RIKEN BNL Research Center
4 LPT - Laboratoire de Physique Théorique d'Orsay [Orsay]
5 Department of Physics
6 Physics Department
7 Albert Einstein Center for Fundamental Physics
8 CP3 Origins
9 Enrico Fermi Center for Study and Research | Museo Storico della Fisica e Centro Studi e Ricerche Enrico Fermi
10 Theoretische Teilchenphysik
11 JSC - Jülich Supercomputing Centre
12 Department of Physics, Osaka University
13 Departement of Physics and Astronomy [SFSU San Francisco]
14 Department of Physics [Bloomington]
15 Japan Atomic Energy Agency, Ibaraki-ken
16 American Physical Society
17 Edin. - University of Edinburgh
18 School of Physics and Astronomy [Southampton]
19 Institute of Laboratory Animals
20 CPT - E1 Physique des particules
21 CPT - Centre de Physique Théorique - UMR 7332
22 NCTU - National Chiao Tung University
23 DF-Roma3 - Dipartimento de Fisica Roma Tre
24 Department of Physics, Columbia University
25 IFT - Instituto de Física Teórica UAM/CSIC
26 Physics Department
27 NIC [Zeuthen]
28 INFN, Sezione di Roma Tor Vergata - Istituto Nazionale di Fisica Nucleare, Sezione di Roma Tor Vergata
29 Institut für Kernphysik
30 Helmholtz-Institut Mainz

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.

Domaines: Physique des Hautes Energies - Réseau [hep-lat]; Physique des Hautes Energies - Phénoménologie [hep-ph]

S. Aoki, Y. Aoki, D. Becirevic, C. Bernard, T. Blum, et al.. Review of lattice results concerning low-energy particle physics. European Physical Journal C: Particles and Fields, 2017, 77 (2), pp.112. ⟨10.1140/epjc/s10052-016-4509-7⟩. ⟨hal-01362443⟩