Neutral meson oscillations on the lattice

TL;DR

This paper reviews recent lattice QCD calculations of hadronic matrix elements for neutral meson oscillations, crucial for constraining the Standard Model and exploring potential New Physics effects.

Contribution

It provides an overview of recent lattice results for meson mixing matrix elements using various dynamical quark flavors, highlighting advances in precision and systematic control.

Findings

Lattice QCD achieves a few percent accuracy in matrix element calculations.

Recent results incorporate $N_f=2$, $N_f=2+1$, and $N_f=2+1+1$ dynamical sea quarks.

Systematic uncertainties are well-controlled in current lattice computations.

Abstract

Accurate measurements of K, D and B meson mixing amplitudes provide stringent constraints in the Unitary Triangle analysis, as well as useful bounds on New Physics scales. Lattice QCD provides a non perturbative tool to compute the hadronic matrix elements entering in the effective weak Hamiltonian, with errors at a few percent level and systematic uncertainties under control. I review recent lattice results for these hadronic matrix element performed with $N_f=2$, $N_f=2+1$ and $N_f=2+1+1$ dynamical sea quarks.