TY - JOUR
T1 - Review of lattice results concerning low-energy particle physics
AU - FLAG Working Group, Working Group
AU - Aoki, S.
AU - Aoki, Y.
AU - Bernard, C.
AU - Blum, T.
AU - Colangelo, G.
AU - Della Morte, M.
AU - Dürr, S.
AU - El-Khadra, A. X.
AU - Fukaya, H.
AU - Horsley, R.
AU - Jüttner, A.
AU - Kaneko, T.
AU - Laiho, J.
AU - Lellouch, L.
AU - Leutwyler, H.
AU - Lubicz, V.
AU - Lunghi, E.
AU - Necco, S.
AU - Onogi, T.
AU - Pena, C.
AU - Sachrajda, C. T.
AU - Sharpe, S. R.
AU - Simula, S.
AU - Sommer, R.
AU - Van de Water, R. S.
AU - Vladikas, A.
AU - Wenger, U.
AU - Wittig, H.
N1 - Funding Information:
We are particularly indebted to J. Shigemitsu, who has actively participated in the production of the first version of the current review: her invaluable contributions are gratefully acknowledged. We wish to thank Damir Bečirević, Nuria Carrasco, Christine Davies, Rachel Dowdall, Petros Dimopoulos, Jochen Dingfelder, Elvira Gamiz, Andreas Kronfeld, Peter Lepage, Matthew Moulson, Heechang Na, Jim Simone, Doug Toussaint for correspondence and useful comments. C.P. acknowledges the support of the Spanish MICINN under grant FPA2009-08785, the Spanish MINECO under grant FPA2012-31686 and the “Centro de excelencia Severo Ochoa Program” SEV-2012-0249, the Community of Madrid under grant HEPHACOS S2009/ESP-1473, and the European Union under the Marie Curie-ITN Program STRONGnet, grant PITN-GA-2009-238353. A.X.K. thanks the Fermilab theory group for hospitality while this review was finalised. The Albert Einstein Center for Fundamental Physics at the University of Bern is supported by the “Innovations- und Kooperationsprojekt C-13” of the “Schweizerische Universitätskonferenz SUK/CRUS”. Fermilab is operated by Fermi Research Alliance, LLC, under Contract No. DE-AC02-07CH11359 with the U.S. Department of Energy. This work was partially supported by Grant-in-Aid for Scientific Research (25287046) and SPIRE (Strategic Program for Innovative Research) of MEXT, Japan, by the JSPS Kakenhi Grant, No. 22224003, by MIUR (Italy) under the contract PRIN 2010-2011, by the US Department of Energy under grant numbers DE-FG02-91ER40628, DE-FG02-92ER40716, DOE DE-FG02-13ER42001, DE-FG02-96ER40956, by the OCEVU Labex (ANR-11-LABX-0060) and the A*MIDEX project (ANR-11-IDEX-0001-02) funded by the “Investissements d’Avenir” French government program managed by the ANR, by UK STFC grant ST/G000557/1, by the Helmholtz Association through the virtual institute “Spin and strong QCD” (VH-VI-231), by the Swiss National Science Foundation, by the Spanish Minister of Education and Science, project RyC-2011-08557 and by a URA Visiting Scholarship. The research leading to these results has also received funding from the European Research Council under the European Community’s Seventh Framework Programme (FP7/2007-2013) ERC grant agreement No 279757.
Publisher Copyright:
© 2014, The Author(s).
PY - 2014/9/1
Y1 - 2014/9/1
N2 - We review lattice results related to pion, kaon, (formula presented)-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 (formula presented), arising in semileptonic (formula presented) transition at zero momentum transfer, as well as the decay-constant ratio (formula presented) of decay constants and its consequences for the CKM matrix elements (formula presented) and (formula presented). Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of (formula presented) and (formula presented) Chiral Perturbation Theory and review the determination of the (formula presented) parameter of neutral kaon mixing. The inclusion of heavy-quark quantities significantly expands the FLAG scope with respect to the previous review. Therefore, we focus here on (formula presented)-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 (formula presented).
AB - We review lattice results related to pion, kaon, (formula presented)-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 (formula presented), arising in semileptonic (formula presented) transition at zero momentum transfer, as well as the decay-constant ratio (formula presented) of decay constants and its consequences for the CKM matrix elements (formula presented) and (formula presented). Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of (formula presented) and (formula presented) Chiral Perturbation Theory and review the determination of the (formula presented) parameter of neutral kaon mixing. The inclusion of heavy-quark quantities significantly expands the FLAG scope with respect to the previous review. Therefore, we focus here on (formula presented)-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 (formula presented).
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U2 - 10.1140/epjc/s10052-014-2890-7
DO - 10.1140/epjc/s10052-014-2890-7
M3 - Review article
AN - SCOPUS:84920872979
SN - 1434-6044
VL - 74
JO - European Physical Journal C
JF - European Physical Journal C
IS - 9
M1 - 2890
ER -