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

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.

14 pages, 3 figures

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Cited by in corpus (11)

• Flavour symmetry restoration and kaon weak matrix elements in quenched twisted mass QCD
• Non-perturbative renormalisation of Delta F=2 four-fermion operators in two-flavour QCD
• K-->pipi amplitudes from lattice QCD with a light charm quark
• Non-Perturbative Renormalisation and Running of BSM Four-Quark Operators in $N_f=2$ QCD
• Determination of the $\Delta S=1$ weak Hamiltonian in the SU(4) chiral limit through topological zero-mode wave functions
• Non-perturbative renormalization of tensor currents: strategy and results for $N_f=0$ and $N_f=2$ QCD
• Progress in kaon physics on the lattice
• Exploring the role of the charm quark in the $\Delta I=1/2$ rule
• Twisted mass QCD for weak matrix elements
• Towards a quantitative understanding of the Delta I=1/2 rule
• On the perturbative renormalisation of four-quark operators for new physics