Review of lattice results concerning low energy particle physics

Sinya Aoki (1) , Yasumichi Aoki (2, 3) , Claude Bernard (4) , Tom Blum (5) , Gilberto Colangelo (6) , Michele Della Morte (7) , Stephan Dürr (8, 9) , Aida X. El Khadra (10) , Hidenori Fukaya (11) , Roger Horsley (12) , Andreas Jüttner (13) , Takeshi Kaneko (14) , Jack Laiho (15) , Laurent Lellouch (16, 17) , Heinrich Leutwyler (6) , Vittorio Lubicz (18) , Enrico Lunghi (19) , Silvia Necco (6) , Tetsuya Onogi (11) , Carlos Pena (20) , Christopher T. Sachrajda (13) , Stephen R. Sharpe (21) , Silvano Simula (22) , Rainer Sommer (23) , Ruth S. van de Water (24) , Anastassios Vladikas (22) , Urs Wenger (6) , Hartmut Wittig (25, 26)

1 YITP - Yukawa Institute for Theoretical Physics [Kyoto]
2 Kobayashi-Maskawa Institute
3 RBRC - RIKEN BNL Research Center
4 Department of Physics
5 Physics Department
6 Albert Einstein Center for Fundamental Physics
7 CP3 Origins
8 Theoretische Teilchenphysik
9 JSC - Jülich Supercomputing Centre
10 UIUC - University of Illinois at Urbana-Champaign [Urbana]
11 Department of Physics, Osaka University
12 Edin. - University of Edinburgh
13 School of Physics and Astronomy [Southampton]
14 High energy accelerator research organization - KEK
15 SUPA School of Physics and Astronomy [Glasgow]
16 CPT - Centre de Physique Théorique - UMR 7332
17 CPT - E1 Physique des particules
18 DF-Roma3 - Dipartimento de Fisica Roma Tre
19 Department of Physics [Bloomington]
20 IFT - Instituto de Física Teórica UAM/CSIC
21 Physics Department
22 INFN, Sezione di Roma Tor Vergata - Istituto Nazionale di Fisica Nucleare, Sezione di Roma Tor Vergata
23 NIC [Zeuthen]
24 Fermilab - Fermi National Accelerator Laboratory
25 Helmholtz-Institut Mainz
26 Institut für Kernphysik

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 semileptonic K -> pi transition at zero momentum transfer, as well as the decay constant ratio fK/fpi of decay constants 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 and review the determination of the BK parameter of neutral kaon mixing. The inclusion of heavy-quark quantities significantly expands the FLAG scope with respect to the previous review. Therefore, for this review, we focus on D- and B-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 alpha_s.

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

Sinya Aoki, Yasumichi Aoki, Claude Bernard, Tom Blum, Gilberto Colangelo, et al.. Review of lattice results concerning low energy particle physics. European Physical Journal C: Particles and Fields, 2014, 74 (9), pp.2890. ⟨10.1140/epjc/s10052-014-2890-7⟩. ⟨hal-01258973⟩