Journal Article PUBDB-2020-04064

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FLAG Review 2019

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2020
Springer Heidelberg

The European physical journal / C 80(2), 113 () [10.1140/epjc/s10052-019-7354-7]
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Report No.: arXiv:1902.08191

Abstract: We 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 $f_+(0)$ arising in the semileptonic $K \to \pi$ 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. For the heavy-quark sector, we provide results for $m_c$ and $m_b$ 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 $\alpha_s$. 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.

Classification:

Contributing Institute(s):
  1. NIC (ZEU-NIC)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2020
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 Record created 2020-10-28, last modified 2025-07-29


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