Twisted mass QCD and lattice approaches to the $ΔI = 1/2$ rule
Abstract
Description
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 long-standing renormalisation problems of the four-quark operators which contribute to CP-conserving $K\toπ$ transitions. With an active charm quark, the renormalisation of the $K\toπ$ 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.
35 pages;final version with references added
35 pages;final version with references added