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Models of Low Energy Effective Theory applied to Kaon Non-leptonic Decays and Other Matrix Elements

Johan Bijnens
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Abstract

In this talk I describe work on computing non-leptonic matrix elements consistently with both long and short distance contributions included. On the simpler example of the $π^+$-$π^0$ mass difference I explain in detail the matching procedure and the difference between various low-energy models. I then explain the new difficulties in non-leptonic Kaon decays and how the matching here can in principle be done in the same way when scheme dependences are correctly accounted for. In the end I summarize the results J. Prades and I obtain for the $ΔI=1/2$ rule and $B_6$.

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Johan Bijnens. 1999-10-20. Models of Low Energy Effective Theory applied to Kaon Non-leptonic Decays and Other Matrix Elements. https://doi.org/10.1063/1.1303041

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