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

THOMAS HAMBYE, BABIKER HASSANAIN, JOHN MARCH-RUSSELL, MARTIN SCHVELLINGER

PHYSICAL REVIEW D - PARTICLE AND FILDS

APS - American Physical Society

Lugar: New York - USA; Año: 2007 vol. 76 p. 12501701 - 12501719

0556-2821

We  study the predictions of holographic QCD for various observable four-point  quark-flavor current-current correlators. The dual 5-dimensional bulk theory we consider is a   SU(3)L×SU(3)R Yang-Mills theory in a slice of  a 5 dimensional AdS 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-flavor current-current correlators using the 5D holographic theory, including interactions. We use these results to  investigate predictions of holographic QCD for the Delta I=1/2 rule for kaon decays and the BK 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.