Review of lattice results concerning low-energy particle physics

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

doi:10.1140/epjc/s10052-016-4509-7

Journal Article

FZJ-2017-05933

Review of lattice results concerning low-energy particle physics

Aoki, S. ; Aoki, Y. ; Bečirević, D. ; Bernard, C. ; Blum, T. ; Colangelo, G. ; Della Morte, M. ; Dimopoulos, P. ; Dürr, S.FZJ* ; Fukaya, H. ; Golterman, M. ; Gottlieb, S. ; Hashimoto, S. ; Heller, U. M. ; Horsley, R. ; Jüttner, A. (Corresponding author) ; Kaneko, T. ; Lellouch, L. ; Leutwyler, H. ; Lin, C. -J. D. ; Lubicz, V. ; Lunghi, E. ; Mawhinney, R. ; Onogi, T. ; Pena, C. ; Sachrajda, C. T. ; Sharpe, S. R. ; Simula, S. ; Sommer, R. ; Vladikas, A. ; Wenger, U. ; Wittig, H.

2017
Springer Berlin

The European physical journal / C 77(2), 112 (2017) [10.1140/epjc/s10052-016-4509-7]

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Please use a persistent id in citations: http://hdl.handle.net/2128/16283 doi:10.1140/epjc/s10052-016-4509-7

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 f_+(0), arising in the semileptonic K \rightarrow \pi transition at zero momentum transfer, as well as the decay constant ratio f_K/f_\pi and its consequences for the CKM matrix elements V_{us} and V_{ud}. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of SU(2)_L\times SU(2)_R and SU(3)_L\times SU(3)_R Chiral Perturbation Theory. We review the determination of the B_K 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 m_c and m_b (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.D

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