Review of lattice results concerning low-energy particle physics

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 , arising in the semileptonic transition at zero momentum transfer, as well as the decay constant ratio and its consequences for the CKM matrix elements and . Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of and Chiral Perturbation Theory. We review the determination of the 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 and (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 .

Updated study of the η−η′ mixing and the thermal properties of light pseudoscalar mesons at low temperatures

“…[49,50], which are in accord with the large N C expectation. From this point of view, it seems that the results from the Fit (F) strategies in Tables II and III are slightly preferred over those from the Fit (F π ) cases.…”

“…As a result, the present uncertainties shown in all the tables and figures correspond to the statistical ones at 1-σ level. Due to the reshuffle of the LECs in the δ counting in Uð3Þ χPT, it does not allow us to perform a direct comparison of the values of the SUð3Þ LECs [49,50]. Nevertheless both the phenomenological and lattice determinations prefer small values in magnitudes for L 4 and L 6 in FIG.…”

Masses and decay constants of the Ds0*(2317) and DBali1, Collins2, Cox3 et al. 2017Phys. Rev. D108131611View full textAdd to dashboardCite

“…1. The strange and charm quarks are partially quenched in our analysis and their masses are fixed by reproducing (to within 1%) the combination 2m 2 K − m 2 π = 685.8 MeV employing the electrically neutral, isospin-averaged estimates from the FLAG review [56] (see the discussion below) and the experimental value of the spin-averaged 1S charmonium mass, m 1S = 3068.5 MeV, respectively. When computing the latter we omit disconnected quark line diagrams and mixing with other flavour singlets.…”

Determining the effective Wilson coefficient a2 in terms of BR(Bs→ηcϕKe1, Li2 2017Phys. Rev. D2010View full textAdd to dashboardCite

“…For the vector meson φ one can extract the decay constant (227.7 ± 1.2) MeV from the data BR(φ → e + e − )((2.954 ± 0.030) × 10 −4 ) [28] and then β φ = (0.3001 ± 0.0010) GeV is achieved. For the pesudoscalar meson B s its decay constant (228.4 ± 3.2 MeV) coming from the lattice result [29] is used and we obtain β Bs = (0.6165 ± 0.0072) GeV.…”