Review of lattice results concerning low-energy particle physics

Aoki, S.; Aoki, Y.; Bečirević, D.; Bernard, C.; Blum, T.; Colangelo, Gilberto; Della Morte, M.; Dimopoulos, P.; Dürr, S.; Fukaya, H.; Golterman, M.; Gottlieb, Steven; Hashimoto, S.; Heller, U. M.; Horsley, R.; Jüttner, A.; Kaneko, T.; Lellouch, L.; Leutwyler, H.; Lin, C.-J. D.; ... (2017). Review of lattice results concerning low-energy particle physics. European physical journal. C - particles and fields, 77(2) EDP Sciences 10.1140/epjc/s10052-016-4509-7

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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→π transition at zero momentum transfer, as well as the decay constant ratio fK/fπ 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)L×SU(2)R and SU(3)L×SU(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 αs.

Item Type:

Journal Article (Review Article)


10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Colangelo, Gilberto and Wenger, Urs


500 Science > 530 Physics




EDP Sciences




Esther Fiechter

Date Deposited:

27 Jul 2017 14:12

Last Modified:

30 Jul 2017 02:13

Publisher DOI:


ArXiv ID:





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