A note on the power divergence in lattice calculations of $ΔI = 1/2$ $K\toππ$ amplitudes at $M_{K}=M_π$

dc.creatorGolterman, Maarten
dc.creatorLin, C. -J. David
dc.creatorPallante, Elisabetta
dc.date2003-12-16
dc.date.accessioned2026-07-07T11:08:55Z
dc.date.available2026-07-07T11:08:55Z
dc.descriptionIn this note, we clarify a point concerning the power divergence in lattice calculations of $ΔI = 1/2$ $K\toππ$ decay amplitudes. There have been worries that this divergence might show up in the Minkowski amplitudes at $M_{K}=M_π$ with all the mesons at rest. Here we demonstrate, via an explicit calculation in leading-order Chiral Perturbation Theory, that the power divergence is absent at the above kinematic point, as predicted by CPS symmetry.
dc.description5 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/hep-lat/0312024
dc.identifierhttp://arxiv.org/abs/hep-lat/0312024
dc.identifierPhys.Rev.D69:057503,2004
dc.identifierdoi:10.1103/PhysRevD.69.057503
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190296
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleA note on the power divergence in lattice calculations of $ΔI = 1/2$ $K\toππ$ amplitudes at $M_{K}=M_π$
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