SU(3) breaking and Hidden Local Symmetry

Abstract

We study the various existing implementations of SU(3) breaking in the Hidden Local Symmetry model for the low energy hadronic sector following a mechanism originally proposed by Bando, Kugo and Yamawaki (BKY). We pay particular attention to hermiticity and current conservation. Following this, we present a new method for including symmetry breaking effects which preserves the BKY mas s relation among vector mesons. Symmetry breaking (SB) necessarily requires a transformation of the pseudoscalar fields, which, following BKY, we refer to a s field renormalization. We examine the consequences of propagating this throug h all Lagrangian terms including the anomalous ones. We thus explore the consequences of these various SB schemes for both charged and neutral pseudoscalar decay constants as measured in weak and anomalous decays respectively.

18 pages, REVTEX. Publication details added to title page. Published version available at http://publish.aps.org/ejnls/prdfetch/abstract/PRD/V58/E074006/

References in corpus (3)

• On the 1/N expansion in chiral perturbation theory
• Patterns of Spontaneous Chiral Symmetry Breaking in the Large-Nc Limit of QCD-Like Theories
• Rho-Omega Mixing and the Pion Form Factor in the Time-like Region

Cited by in corpus (17)

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• Anomalous $\eta /{\eta }^{\prime }$ Decays: The Triangle and Box Anomalies
• The ratio Phi->K+K-/K0K0bar
• An Effective Approach to VMD at One Loop Order and the Departures from Ideal Mixing for Vector Mesons
• BHLS${}_2$, a New Breaking of the HLS Model and its Phenomenology
• A Global Treatment Of VMD Physics Up To The phi: II. tau Decay and Hadronic Contributions To g-2
• Vector meson dominance and the rho meson
• BHLS${}_2$ Upgrade : $\tau$ spectra, muon HVP and the [${\pi }^0,\eta ,{\eta }^{\prime }$] System
• $\eta -{\eta }^{\prime }$ Mixing Angle from Vector Meson Radiative Decays
• Pseudoscalar Meson Mixing in Effective Field Theory
• The Pion Form Factor Within the Hidden Local Symmetry Model