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Non-perturbative renormalisation of left-left four-fermion operators with Neuberger fermions

P. Dimopoulos, L. Giusti, P. Hernandez, F. Palombi, C. Pena, A. Vladikas, J. Wennekers, H. Wittig

hep-latarXiv:hep-lat/0607028

Abstract

We outline a general strategy for the non-perturbative renormalisation of composite operators in discretisations based on Neuberger fermions, via a matching to results obtained with Wilson-type fermions. As an application, we consider the renormalisation of the four-quark operators entering the Delta S=1 and Delta S=2 effective Hamiltonians. Our results are an essential ingredient for the determination of the low-energy constants governing non-leptonic kaon decays.

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