Abstract
In this talk, I report the most recent progresses done by lattice QCD in the computation of quantities which are relevant to the phenomenology of weak interactions. Among the others, the decay constants of heavy pseudoscalar mesons (such as fD and fB) and the electropenguin contribution to ∊′/∊. I will also present the actual status of the computation of the ?I = 3/2 and 1/2, K + 2π amplitudes. For many years, we have been waiting for a quantitative explanation of the ?I = 1/2 rule in the Standard Model. Preliminary results from lattice QCD are encouraging and give a new insight on the mechanism responsible for the ?I = 1/2 enhancement, which seems to come from the so-called eye-diagrams. A lot of work still has to be done to provide a convincing answer to this problem. A realistic computation of the ?I = 1/2 amplitude would also provide a solid basis to a full calculation of ∊′/∊ on the lattice.
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Martinelli, G. (1989). Weak Decays and ∊′/∊ From Lattice QCD. In: Kotthaus, R., Kühn, J.H. (eds) XXIV International Conference on High Energy Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-74136-4_35
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