Phenomenology from the Lattice

Abstract

In recent years the precision of lattice calculations has improved hugely, and the results are making a very significant impact in particle physics phenomenology. Indeed there is no alternative general method which can be used in the evaluation of nonperturbative strong interaction effects for a wide variety of physical processes. In this talk I discuss a selection of topics in flavour physics, including \textit{mature} quantities for which lattice calculations have been performed for a long time (e.g. the determination of the $V_{us}$ CKM matrix element and $B_K$), quantities which we are now learning to study (e.g. $K\to \pi \pi$ decays amplitudes and the spectrum and mixing of $\eta -{\eta }^{\prime }$ mesons) and important phenomenological quantities for which a large amount of experimental data is available but which we do not yet understand how to approach in lattice simulations (e.g. nonleptonic B-decays). The improvement in precision and the extension of the range of processes which can be studied using lattice QCD has to be continued vigorously if precision flavour physics is to play a complementary role to large $p_{\perp }$ discovery experiments at the LHC in unravelling the next level of fundamental physics.

Invited plenary talk presented at the XXVIII International Symposium on Lattice Field Theory, Lattice2010, June 14-19, 2010, Villasimius, Italy

References in corpus (18)

• Anatomy of New Physics in B-Bbar mixing
• Correlations among new CP violating effects in Delta F = 2 observables
• Possible Indications of New Physics in Bd-mixing and in sin(2 beta) Determinations
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Non-perturbative renormalization of quark bilinear operators and B_K using domain wall fermions
• Possible evidence for the breakdown of the CKM-paradigm of CP-violation
• The $\eta$ and ${\eta }^{\prime }$ mesons from Lattice QCD
• Kl3 semileptonic form factor from 2+1 flavour lattice QCD
• Two-loop matching factors for light quark masses and three-loop mass anomalous dimensions in the RI/SMOM schemes
• $B_K$ using HYP-smeared staggered fermions in $N_f=2+1$ unquenched QCD
• K->pi form factors with reduced model dependence
• BK-parameter from Nf = 2 twisted mass lattice QCD
• Precise MS-bar light-quark masses from lattice QCD in the RI/SMOM scheme
• Hard Pion Chiral Perturbation Theory for $B\to \pi$ and $D\to \pi$ Formfactors
• On the consistency between the observed amount of CP violation in the K- and Bd-systems within minimal flavor violation
• $K\to \pi \pi$ Decays in SU(2) Chiral Perturbation Theory
• Hadron Structure and Form Factors
• Towards Four-Flavour Dynamical Simulations