Rho Meson Properties in the Chiral Theory Framework

Abstract

We study the mass, width and couplings of the lightest resonance multiplet with I(J^{PC})=1(1^{--}) quantum numbers. Effective field theories based on chiral symmetry are employed in order to describe the form factor associated with the two-pseudoscalar matrix element of the QCD vector current. The bare poles of the intermediate resonances are regularized through a Dyson-Schwinger-like summation. We explore the role of the resonance width in physical observables and make a coupled-channel analysis of final-state interactions. This provides many interesting properties, as the pole mass M_rho{pole}= 764.1 +- 2.7 +4.0-2.5 MeV. At energies E~1 GeV, a second 1(1^{--}) resonance multiplet is considered in order to describe the data in a more consistent way. From the phenomenologically extracted resonance couplings, we obtain the chiral coupling L_9^r(mu0)= (7.04 +- 0.05 +0.19-0.27)* 10^{-3}, at mu0=770$ MeV, and show how the running with the scale mu affects the resonance parameters. A 1/N_C counting is adopted in this work and the consistency of the large--N_C expansion is tested. Finally, we make an estimation of the contribution from diagrams with resonances in crossed channels.

26 pages, 8 figures, Latex file

References in corpus (5)

• Measurement of e+e- -> pi+pi- cross section with CMD-2 around rho-meson
• Strangeness-changing scalar form factors
• The vector form factor of the pion from unitarity and analyticity: a model-independent approach
• Pion and Kaon Vector Form Factors
• Colourless Mesons in a Polychromatic World

Cited by in corpus (47)

• Precision Tau Physics
• Interpolating between low and high energy QCD via a 5D Yang-Mills model
• tau -> (3 pions) nu_tau decays in the Resonance Effective Theory
• Spectral distribution for the decay tau -> nu_tau K pi
• Quasi-two-body decays $B\to K\rho \to K\pi \pi$ in perturbative QCD approach
• Resonance chiral Lagrangian currents and tau decay Monte Carlo
• K pi vector form factor, dispersive constraints and tau -> nu_tau K pi decays
• One meson radiative tau decays
• Dispersive representation of the pion vector form factor in $\tau \to \pi \pi {\nu }_{\tau }$ decays
• What can be learned from the Belle spectrum for the decay tau- -> nu_tau K_S pi-
• Resonance poles and threshold energies for hadron physical problems by a model-independent universal algorithm
• Quantum Loops in the Resonance Chiral Theory: The Vector Form Factor
• K pi vector form factor constrained by tau ---> K pi nu_tau and K_l3 decays
• Chiral dynamics predictions for eta' -> eta pi pi
• Vector Meson Dominance as a first step in a systematic approximation: the pion vector form factor
• A dispersive analysis of the pion vector form factor and ${\tau }^{-}\to K^{-}{K}_S{\nu }_{\tau }$ decay
• The vector form factor at the next-to-leading order in 1/N(C): chiral couplings L9(mu) and C88(mu) - C90(mu)
• Precise determination of resonance pole parameters through Padé approximants
• Padé Approximants and Resonance Poles
• One-loop Renormalization of Resonance Chiral Theory: Scalar and Pseudoscalar Resonances
• ${\tau }^{-}\to K^{-}{\eta }^{(\prime )}{\nu }_{\tau }$ decays in Chiral Perturbation Theory with Resonances
• Masses and couplings of vector mesons from the pion electromagnetic, weak, and πγtransition form factors
• The weak radiative pion vertex in τ^- ->π^-ν_τl^+ l^- decays
• Anomalous $\eta /{\eta }^{\prime }$ Decays: The Triangle and Box Anomalies
• Spin-1 Correlators at Large NC: Matching OPE and Resonance Theory up to O(alpha_s)
• Three pseudoscalar meson production in $e^{+}{e}^{-}$ annihilation
• Renormalization group equations in resonance chiral theory
• ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\nu }_{\tau }\gamma$ decays as backgrounds in the search for second class currents
• Vector form factor of the pion in chiral effective field theory
• Hadronic decays of the tau lepton: Theoretical outlook
• Theoretical overview on tau physics
• Tau Physics 2006: Summary & Outlook
• Hadronic decays of the tau lepton: Theoretical overview
• Quantum Corrections in the Resonance Chiral Theory
• Hadronic currents for ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$ and other decays of interest in TAUOLA
• The Pion Form Factor Within the Hidden Local Symmetry Model
• Refining the scalar and tensor contributions in $\tau \to \pi \pi \pi {\nu }_{\tau }$ decays
• One-loop Renormalization of Resonance Chiral Theory with Scalar and Pseudoscalar Resonances
• Hunting resonance poles with Rational Approximants
• Hadronic and radiative decays of the tau lepton
• Study of predominant hadronic modes of $\tau$-lepton using a Monte Carlo generator TAUOLA
• Revisiting the vector form factor at next-to-leading order in 1/N(C)
• Vector Meson Dominance as the first order of a sequence of Pade Approximants
• Dispersive analysis of ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$ Belle data
• Rho Meson Properties
• Resonance Chiral Lagrangians and alternative approaches to hadronic tau decays
• Analysis of tau -> Ks pion nu_tau Belle data in a chiral framework