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Showing papers by "Heinrich Leutwyler published in 2017"


Journal ArticleDOI
TL;DR: The determination of the light-quark masses, the form factor, and the decay constant ratio arising in the semileptonic $$K \rightarrow \pi $$K→π transition at zero momentum transfer are reported on.
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 [Formula: see text], arising in the semileptonic [Formula: see text] transition at zero momentum transfer, as well as the decay constant ratio [Formula: see text] and its consequences for the CKM matrix elements [Formula: see text] and [Formula: see text]. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of [Formula: see text] and [Formula: see text] Chiral Perturbation Theory. We review the determination of the [Formula: see text] 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 [Formula: see text] and [Formula: see text] (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 [Formula: see text].

678 citations


Journal ArticleDOI
TL;DR: The parameter-free predictions obtained for the neutral Dalitz plot and the neutral-to-charged branching ratio are in excellent agreement with experiment, and the representation of the transition amplitude implies Q=22.0±0.7.
Abstract: The $\ensuremath{\eta}\ensuremath{\rightarrow}3\ensuremath{\pi}$ amplitude is sensitive to the quark mass difference ${m}_{u}\ensuremath{-}{m}_{d}$ and offers a unique way to determine the quark mass ratio ${Q}^{2}\ensuremath{\equiv}({m}_{s}^{2}\ensuremath{-}{m}_{ud}^{2})/({m}_{d}^{2}\ensuremath{-}{m}_{u}^{2})$ from experiment. We calculate the amplitude dispersively and fit the KLOE Collaboration data on the charged mode, varying the subtraction constants in the range allowed by chiral perturbation theory. The parameter-free predictions obtained for the neutral Dalitz plot and the neutral-to-charged branching ratio are in excellent agreement with experiment. Our representation of the transition amplitude implies $Q=22.0\ifmmode\pm\else\textpm\fi{}0.7$.

48 citations