Neutral meson oscillations on the lattice

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.

ΔS=2 and ΔC=2 bag parameters in the SM and beyond from Nf=2+1+1 twisted-mass LQCD

“…Comparing the results for the bag-parameters collected in the Tables 1 and 2 with the ETMC results published in Refs [12] and [50], the latter obtained with N f = 2 dynami- 3 For recent reviews see Ref [32,33]. 4 For older quenched computations of the BSM Bi see Refs.…”

Flavor constraints on the Two Higgs Doublet Models of Z 2 symmetric and aligned types

“…are only evaluated. The bag parameters at the µ b = m b scale are given as [97][98][99] f Bs B assuming ∆Γ d /Γ d 0 [102], where uncertainties less than 1% are neglected for these parameters. The other numerical input for our numerical analysis are shown in the Appendix A.…”

Jet charge identification in the e+e− → Z → $$ \textrm{q}\overline{\textrm{q}} $$ process at Z pole

“…• If the final state leading charged particle is from B 0 s , the effective tagging power ϵ eff vanishes due to its fast oscillation [69][70][71][72][73][74]. However, the lepton and charged kaon with maximum momentum in the opposite direction of the B 0 s , as well as the charged kaon flying in a similar direction as the B 0 s , can achieve a good misjudgment rate ω of 22.5% and effective tagging power ϵ eff of 20.2% [75].…”