2004/05/31 by C. Pena, Carlos Peña, Stefan Sint +2 · 48 citations
Chemistry · Mathematics · Physics and Astronomy · #Algorithm #Arithmetic #Chemistry #Computation #Fermion #Geometry #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Mathematical physics #Mathematics #Matrix (chemical analysis) #Operator (biology) #Operator matrix #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Subtraction #Sum rule in quantum mechanics #Twist #hep-lat
paper · pdf · doi:10.1088/1126-6708/2004/09/069
published in Journal of High Energy Physics 2004(09), 069 (Springer Nature) · 35 pages;final version with references added
openalex publication_date 2004/09/30 · arxiv created 2004/10/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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→π transitions. 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.