On the Delta I = 1/2 Rule in Holographic QCD

We study the $\Delta I = 1/2$ rule for kaon decays and the $B_K$ parameter for $K^0 - {\bar K}^0$ mixing in a dual 5-dimensional holographic QCD model. We perform, in the chiral limit, computations of the relevant four-point current-current correlators, which depend upon self-interactions among the...

Full description

Bibliographic Details
Main Authors: Hambye, T, Hassanain, B, March-Russell, J, Schvellinger, M
Format: Journal article
Published: 2005
_version_ 1826268605865525248
author Hambye, T
Hassanain, B
March-Russell, J
Schvellinger, M
author_facet Hambye, T
Hassanain, B
March-Russell, J
Schvellinger, M
author_sort Hambye, T
collection OXFORD
description We study the $\Delta I = 1/2$ rule for kaon decays and the $B_K$ parameter for $K^0 - {\bar K}^0$ mixing in a dual 5-dimensional holographic QCD model. We perform, in the chiral limit, computations of the relevant four-point current-current correlators, which depend upon self-interactions among the 5D bulk fields. Spontaneous chiral symmetry breaking ($\chi$SB) is realized through boundary conditions on the bulk fields. Numerical results are analyzed in comparison with QCD, chiral perturbation theory ($\chi$PT) and data, finding reasonable agreement with the experimental values of the $g_8$ and $g_{27}$ parameters describing the $\Delta I =1/2,3/2$ decay channels.
first_indexed 2024-03-06T21:12:16Z
format Journal article
id oxford-uuid:3e941450-486a-4090-850a-f307b28f96ed
institution University of Oxford
last_indexed 2024-03-06T21:12:16Z
publishDate 2005
record_format dspace
spelling oxford-uuid:3e941450-486a-4090-850a-f307b28f96ed2022-03-26T14:26:22ZOn the Delta I = 1/2 Rule in Holographic QCDJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:3e941450-486a-4090-850a-f307b28f96edSymplectic Elements at Oxford2005Hambye, THassanain, BMarch-Russell, JSchvellinger, MWe study the $\Delta I = 1/2$ rule for kaon decays and the $B_K$ parameter for $K^0 - {\bar K}^0$ mixing in a dual 5-dimensional holographic QCD model. We perform, in the chiral limit, computations of the relevant four-point current-current correlators, which depend upon self-interactions among the 5D bulk fields. Spontaneous chiral symmetry breaking ($\chi$SB) is realized through boundary conditions on the bulk fields. Numerical results are analyzed in comparison with QCD, chiral perturbation theory ($\chi$PT) and data, finding reasonable agreement with the experimental values of the $g_8$ and $g_{27}$ parameters describing the $\Delta I =1/2,3/2$ decay channels.
spellingShingle Hambye, T
Hassanain, B
March-Russell, J
Schvellinger, M
On the Delta I = 1/2 Rule in Holographic QCD
title On the Delta I = 1/2 Rule in Holographic QCD
title_full On the Delta I = 1/2 Rule in Holographic QCD
title_fullStr On the Delta I = 1/2 Rule in Holographic QCD
title_full_unstemmed On the Delta I = 1/2 Rule in Holographic QCD
title_short On the Delta I = 1/2 Rule in Holographic QCD
title_sort on the delta i 1 2 rule in holographic qcd
work_keys_str_mv AT hambyet onthedeltai12ruleinholographicqcd
AT hassanainb onthedeltai12ruleinholographicqcd
AT marchrussellj onthedeltai12ruleinholographicqcd
AT schvellingerm onthedeltai12ruleinholographicqcd