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

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

2004-05-27

arxiv.org/abs/hep-lat/0405028v2

JHEP0409:069,2004

Physics

High Energy Physics

High Energy Physics - Lattice

35 pages;final version with references added

Scientific paper

10.1088/1126-6708/2004/09/069

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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