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arxiv hep-lat/0405028 v2 pith:ZHR5IOV4 submitted 2004-05-27 hep-lat

Twisted mass QCD and lattice approaches to the Delta I = 1/2 rule

classification hep-lat
keywords countertermdeltaelementslatticemassmatrixquarkrenormalisation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Twisted mass lattice QCD (tmQCD), generalised to four Wilson quark flavours, can be used for the computation of some weak matrix elements related to $\Delta I=1/2$ transitions. Besides eliminating unphysical zero modes, tmQCD may alleviate long-standing renormalisation problems of the four-quark operators which contribute to CP-conserving $K\to\pi$ transitions. With an active charm quark, the renormalisation of the $K\to\pi$ matrix elements requires at most the subtraction of a linearly divergent counterterm. Furthermore, in the (partially) quenched approximation the twist angles can be chosen so that only a finite counterterm needs to be subtracted.

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Cited by 1 Pith paper

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  1. $f_K/f_{\pi}$ in iso-symmetric QCD and the CKM matrix unitarity

    hep-lat 2025-12 unverdicted novelty 4.0

    Lattice QCD result for f_K/f_π in isoQCD gives |V_us|/|V_ud| consistent with CKM unitarity once isospin and QED effects are included.