2003/03/31 by Oscar Catà, O. Cata, S. Peris +1 · 4 citations
Physics and Astronomy · #Dimensional regularization #High-Energy Particle Collisions Research #Invariant (physics) #Lagrangian #Matrix (chemical analysis) #Operator (biology) #Operator product expansion #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quark #Regularization (linguistics) #hep-lat #hep-ph
paper · pdf · doi:10.1088/1126-6708/2003/03/060
published as JHEP0303:060,2003 · 14 pages, LaTeX. Explanatory comments added to match version in journal
arxiv created 2003/03/31 · openalex publication_date 2003/03/31 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Besides their appearance at short distances \gtrsim 1/MW, local dimension-eight operators also contribute to kaon matrix elements at long distances of order \gtrsim 1/muope, where muope is the scale controlling the Operator Product Expansion in pure QCD, without weak interactions. This comes about in the matching condition between the effective quark Lagrangian and the Chiral Lagrangian of mesons. Working in dimensional regularization and in a framework where these effects can be systematically studied, we calculate the correction from these long-distance dimension-eight operators to the renormalization group invariant BK factor of K0-K0bar mixing, to next-to-leading order in the 1/Nc expansion and in the chiral limit. The correction is controlled by the matrix element <0| sL Gmu nugammamu dL|K0>, is small, and lowers BK.