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An Effective Approach to VMD at One Loop Order and the Departures from Ideal Mixing for Vector Mesons
Benayoun M., Del Buono L., Leruste P., O'Connell H.B.
European Physical Journal C 17 (2000) 303-321 - http://hal.in2p3.fr/in2p3-00193943
Physique/Physique des Hautes Energies - Phénoménologie
Physique/Physique Nucléaire Théorique
An Effective Approach to VMD at One Loop Order and the Departures from Ideal Mixing for Vector Mesons
M. Benayoun1, L. Del Buono1, P. Leruste1, H. B. O'Connell
1 :  LPNHE - Laboratoire de Physique Nucléaire et de Hautes Énergies
http://www-lpnhep.in2p3.fr
CNRS : UMR7585 – IN2P3 – Université Pierre et Marie Curie (UPMC) - Paris VI – Université Paris VII - Paris Diderot
Barre 12-22, 1er étage 4 Place Jussieu 75252 Paris Cedex 05
France
We examine the mechanisms producing departures from ideal mixing for vector mesons within the context of the Hidden Local Symmetry (HLS) model. We show that kaon loop transitions between the ideal combinations of the $\omega$ and $\phi$ mesons necessitate a field transformation in order to get the mass eigenstates. It is shown that this transformation is close to a rotation for processes involving, like meson decays, on--shell $\omega$ and $\phi$ mesons. The HLS model predicts a momentum dependent, slowly varying mixing angle between the ideal states. We examine numerically the consequences of this for radiative and leptonic decays of light mesons. The mean $\omega-\phi$ mixing angle is found smaller than its ideal value; this is exhibited separately in radiative and in leptonic decays. Effects of nonet symmetry breaking in the vector sector are compared to those produced by the field rotation implied by the HLS model.

Articles dans des revues avec comité de lecture
2000
European Physical Journal C
17
303-321

LPNHE-00-01, SLAC-PUB-8407
34 pages, references added, to appear in EPJC
Lien vers le texte intégral : 
http://fr.arXiv.org/abs/nucl-th/0004005