Vector meson dominance and the rho meson

Abstract

We discuss the properties of vector mesons, in particular the rho^0, in the context of the Hidden Local Symmetry (HLS) model. This provides a unified framework to study several aspects of the low energy QCD sector. Firstly, we show that in the HLS model the physical photon is massless, without requiring off field diagonalization. We then demonstrate the equivalence of HLS and the two existing representations of vector meson dominance, VMD1 and VMD2, at both tree level and one loop order. Finally the S matrix pole position is shown to provide a model and process independent means of specifying the rho mass and width, in contrast to the real axis prescription currently used in the Particle Data Group tables.

18 pages, REVTEX

References in corpus (8)

• Meson-Meson interaction in a non-perturbative chiral approach
• Differences Between the Pole and On-Shell Masses and Widths of the Higgs Boson
• Mass Shift and Width Broadening of Rho-Mesons Produced in Heavy Ion Collisions
• SU(3) breaking and Hidden Local Symmetry
• Light Hadron Spectroscopy
• Unstable particles in matter at a finite temperature: the rho and omega mesons
• Photon Rates for Heavy-Ion Collisions from Hidden Local Symmetry
• ${\rho }^0-\omega$ mixing in U(3)}${}_L\times$ U(3)${}_R$ chiral theory of mesons

Cited by in corpus (14)

• Upgraded Breaking Of The HLS Model: A Full Solution to the tau-e+e- and phi Decay Issues And Its Consequences On g-2 VMD Estimates
• Radiative Decays, Nonet Symmetry and SU(3) Breaking
• The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical (rho0, omega, phi) Mixing Approach
• Muon g-2 estimates : Can one trust Effective Lagrangians and global fits ?
• Pion transition form factor in the Regge approach and incomplete vector-meson dominance
• Masses and couplings of vector mesons from the pion electromagnetic, weak, and πγtransition form factors
• 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
• Low energy constituent quark and pion effective couplings in a weak external magnetic field
• Masses and widths of the rho(770)
• BHLS${}_2$ Upgrade : $\tau$ spectra, muon HVP and the [${\pi }^0,\eta ,{\eta }^{\prime }$] System
• The Pion Form Factor Within the Hidden Local Symmetry Model
• Weak magnetic field corrections to light vector or axial mesons mixings and vector meson dominance
• Pole versus Breit-Wigner resonance description of the orbitally excited baryons