Author:
Aoki S.,Aoki Y.,Bečirević D.,Blum T.,Colangelo G.,Collins S.,Della Morte M.,Dimopoulos P.,Dürr S.,Fukaya H.,Golterman M.,Gottlieb Steven,Gupta R.,Hashimoto S.,Heller U. M.,Herdoiza G.,Horsley R.,Jüttner A.,Kaneko T.,Lin C.-J. D.,Lunghi E.,Mawhinney R.,Nicholson A.,Onogi T.,Pena C.,Portelli A.,Ramos A.,Sharpe S. R.,Simone J. N.,Simula S.,Sommer R.,Van de Water R.,Vladikas A.,Wenger U.,Wittig H.
Abstract
AbstractWe review lattice results related to pion, kaon, D-meson, B-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $$f_+(0)$$f+(0) arising in the semileptonic $$K \rightarrow \pi $$K→π transition at zero momentum transfer, as well as the decay constant ratio $$f_K/f_\pi $$fK/fπ and its consequences for the CKM matrix elements $$V_{us}$$Vus and $$V_{ud}$$Vud. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of $$SU(2)_L\times SU(2)_R$$SU(2)L×SU(2)R and $$SU(3)_L\times SU(3)_R$$SU(3)L×SU(3)R Chiral Perturbation Theory. We review the determination of the $$B_K$$BK parameter of neutral kaon mixing as well as the additional four B parameters that arise in theories of physics beyond the Standard Model. For the heavy-quark sector, we provide results for $$m_c$$mc and $$m_b$$mb 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. We review the status of lattice determinations of the strong coupling constant $$\alpha _s$$αs. Finally, in this review we have added a new section reviewing results for nucleon matrix elements of the axial, scalar and tensor bilinears, both isovector and flavor diagonal.
Funder
Joint Institute for Computational Fundamental Science
JSPS KAKENHI
MICINN and MINECO
Japanese Ministry of Education, Sciences and Technology, Sports and Culture
Science and Technology Facilities Council
Deutsche Forschungsgemeinschaft
High Energy Physics
H2020 European Research Council
H2020 Marie Sklodowska-Curie Actions
FP7 Ideas: European Research Council
Ministry of Science and Technology, Taiwan
Ramon y Cajal
IFT Centro de Excelencia Severo Ochoa
Japanese Grant-in-Aid for Scientific Research
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Cited by
532 articles.
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