Lattice inputs to Flavor Physics

Abstract

We review recent lattice results for quark masses and low-energy hadronic parameters relevant for flavor physics. We do that by describing the FLAG initiative, with emphasis on its scope and rating criteria. The emerging picture is that while for light quantities a large number of computations using different approaches exist, and this increases the overall confidence on the final averages/estimates, in the heavy-light case the field is less advanced and, with the exception of decay constants, only a few computations are available. The precision reached for the light quantities is such that electromagnetic (EM) corrections, beyond the point-like approximation, are becoming relevant. We discuss recent computations of the spectrum based on direct simulations of QED+QCD. We also present theoretical developments for including EM effects in leptonic decays. We conclude describing recent results for the $K\to \pi \pi$ transition amplitudes and prospects for tackling hadronic decays on the lattice.

Invited talk at the 50th Rencontres de Moriond EW 2015. 8 pages, 5 figures

References in corpus (5)

• Precise determination of the mass of the Higgs boson and tests of compatibility of its couplings with the standard model predictions using proton collisions at 7 and 8 TeV
• Ab initio calculation of the neutron-proton mass difference
• $K\to \pi \pi$ $\Delta I=3/2$ decay amplitude in the continuum limit
• Multichannel one-to-two transition amplitudes in a finite volume
• Testing the Standard Model under the weight of heavy flavors