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

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Published 4 November 2004 Published under licence by IOP Publishing Ltd
, , Citation Carlos Pena et al JHEP09(2004)069 DOI 10.1088/1126-6708/2004/09/069

1126-6708/2004/09/069

Abstract

Twisted mass lattice QCD (tmQCD), generalised to four Wilson quark flavours, can be used for the computation of some weak matrix elements related to ΔI = 1/2 transitions. Besides eliminating unphysical zero modes, tmQCD may alleviate the four-quark operator renormalisation problems encountered in the calculation of CP-conserving K→π matrix elements with traditional Wilson fermion regularisation. With an active charm quark, the renormalisation of the K→π 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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10.1088/1126-6708/2004/09/069