Review of lattice results concerning low-energy particle physics

TL;DR

This review summarizes recent lattice QCD results on low-energy particle physics, including quark masses, decay constants, form factors, mixing parameters, and the strong coupling constant, providing a comprehensive overview for the particle physics community.

Contribution

It compiles and updates lattice QCD results on key low-energy observables and parameters relevant for Standard Model tests and beyond, including new heavy-quark sector data.

Findings

Determined light-quark masses and decay constants with improved precision.

Provided updated values for CKM matrix elements and unitarity-triangle parameters.

Reviewed the status of lattice calculations of the strong coupling constant alpha_s.

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 -> pi transition at zero momentum transfer, as well as the decay constant ratio fK/fpi and its consequences for the CKM matrix elements Vus and Vud. Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of SU(2)LxSU(2)R and SU(3)LxSU(3)R Chiral Perturbation Theory. We review the determination of the BK 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 mc and mb (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.