Review of lattice results concerning low-energy particle physics

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

Report

PUBDB-2016-03637

Review of lattice results concerning low-energy particle physics

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

2016

383 pp. (2016) [10.3204/PUBDB-2016-03637]

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Please use a persistent id in citations: doi:10.3204/PUBDB-2016-03637

Report No.: CP3-Origins-2016-023-DNRF90; DESY-16-111; DIAS-2016-23; Edinburgh-2016-11; FTUAM-16-23; HIM-2016-02; IFT-UAM-CSIC-16-057; LPT-Orsay-16-47; MITP-16-059; RM3-TH-16-7; ROM2F-2016-05; YITP-16-77; arXiv:1607.00299

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 $\to \pi$ transition at zero momentum transfer, as well as the decay constant ratio $f_{K}/f_{\pi}$i and its consequences for the CKM matrix elements V$_{us}$ and V$_{us}$. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of SU(2)$_L$ x SU(2)$_R$ and SU(3)$_L$ x 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 $\alpha_s$.

Keyword(s): review ; energy: low ; quantum chromodynamics ; lattice field theory ; perturbation theory: chiral ; meson: hadron spectroscopy ; quark: mass: calculated ; charm: mass ; bottom: mass ; CKM matrix: unitarity ; decay constant: ratio ; B: decay ; strong interaction: coupling constant ; low-energy constant ; form factor ; heavy quark ; mixing ; forward scattering ; B-parameter ; new physics