Four-point functions and kaon decays in a minimal AdS/QCD model

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dc.creatorHambye, Thomas
dc.creatorHassanain, Babiker
dc.creatorMarch-Russell, John
dc.creatorSchvellinger, Martin
dc.date2006-12-01
dc.date2007-12-19
dc.date.accessioned2026-07-07T11:22:15Z
dc.date.available2026-07-07T11:22:15Z
dc.descriptionWe study the predictions of holographic QCD for various observable four-point quark flavour current-current correlators. The dual 5-dimensional bulk theory we consider is a $SU(3)_L \times SU(3)_R$ Yang Mills theory in a slice of $AdS_5$ spacetime with boundaries. Particular UV and IR boundary conditions encode the spontaneous breaking of the dual 4D global chiral symmetry down to the $SU(3)_V$ subgroup. We explain in detail how to calculate the 4D four-point quark flavour current-current correlators using the 5D holographic theory, including interactions. We use these results to investigate predictions of holographic QCD for the $ΔI = 1/2$ rule for kaon decays and the $B_K$ parameter. The results agree well in comparison with experimental data, with an accuracy of 25% or better. The holographic theory automatically includes the contributions of the meson resonances to the four-point correlators. The correlators agree well in the low-momentum and high-momentum limit, in comparison with chiral perturbation theory and perturbative QCD results, respectively.
dc.descriptionPublished version, title changed to conform with Journal format, references and clarifying remarks added, 40 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0612010
dc.identifierhttp://arxiv.org/abs/hep-ph/0612010
dc.identifierPhys.Rev.D76:125017,2007
dc.identifierdoi:10.1103/PhysRevD.76.125017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194508
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleFour-point functions and kaon decays in a minimal AdS/QCD model
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