ρ0-ω mixing in U(3)L×U(3)R chiral theory of mesons}

Gao, Dao-Neng; Yan, Mu-Lin

doi:10.1007/s100500050180

Cited by 11 publications

(3 citation statements)

References 23 publications

(62 reference statements)

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“…For an investigation of isospin violation in a chiral meson theory see Ref. [29]. The possibility of a direct coupling of the photon to the pseudoscalar field allows for a loop-induced photon-vector meson mixing, which in the isospin limit (where m K 0 = m K + ) gives…”

Section: Vmd1 Versus Vmd2mentioning

confidence: 99%

Vector meson dominance and the ρ meson

1999

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We discuss the properties of vector mesons, in particular the 0 , in the context of the hidden local symmetry ͑HLS͒ model. This provides a unified framework to study several aspects of the low energy QCD sector. First, 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 the 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 mass and width, in contrast with the real axis prescription currently used in the Particle Data Group tables. ͓S0556-2821͑99͒02807-6͔

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Section: Vmd1 Versus Vmd2mentioning

confidence: 99%

Vector meson dominance and the ρ meson

1999

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“…Based on a quark loop mechanism of mixing, it was determined that the mixing amplitude significantly depends on momentum. Subsequently, the investigation of various loop mechanisms for mixing was initiated in different models, such as the global color model [13], extended Nambu-Jona-Lasinio (NJL) model [14,15], chiral constituent quark model [16,17], and hidden local symmetry model [18−20]. In our pervious study [21], we examined mixing using a model independent approach through Resonance Chiral Theory (RχT) [22].…”

Section: Introductionmentioning

confidence: 99%

Momentum dependence of mixing in the pion vector form factor and its effect on *

Chen,

Qin

2023

Chinese Phys. C

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The inclusion of the $\rho-\omega$ mixing effect is essential for a precisedescription of the pion electromagnetic form factor in the $e^+e^- \rightarrow\pi^+\pi^-$ process, which quantifies the two-pion contribution to the anomalous magnetic moment of themuon $a_\mu$. In this paper, we aim to analyse the impact of the momentum dependence of the $\rho-\omega$ mixing within the framework of resonance chiral theory. The momentum dependence of the $\rho-\omega$ mixingis incorporated by considering loop contributions at the next-to-leading order in the $1/N_C$ expansion. We revisit the work {[}Y. H. Chen, D. L. Yao, and H. Q. Zheng,Commun. Theor. Phys. 69 (2018) 1{]}, considering the contribution arising from the kaon mass splitting in the kaon loops and the latest experimental data.We perform two kinds of fits (with momentum-independent or momentum-dependent $\rho-\omega$ mixing amplitude) to describe the $e^+e^-\rightarrow \pi^+\pi^-$and $\tau\rightarrow \nu_{\tau}2\pi$ data within the energy region of 600$\sim$900 MeV and the decay width of $\omega \rightarrow \pi^+\pi^-$, and compare their results.Our findings indicate that both the momentum-independent and momentum-dependent $\rho-\omega$ mixing schemes provide appropriate descriptions of the data. However, the momentum-dependent scheme exhibits greater self-consistency, considering the reasonable imaginary part of the mixing matrix element $\Pi_{\rho\omega}$ obtained.Regarding the contribution to the anomalous magnetic moment of the muon, $a_\mu^{\pi\pi}|_{[0.6,0.9]\text{GeV}}$, the results obtained from the fits considering the momentum-dependent $\rho-\omega$ mixing amplitude agree well with those obtained without incorporating the momentum dependence of the $\rho-\omega$ mixing, within the margin of errors.Furthermore, based on the fitted values of the relevant parameters, we observe that the decay width of $\omega \rightarrow \pi^+\pi^-$ is predominantly influenced by the $\rho-\omega$ mixing effect. Additionally, we find that including the direct $\omega_I\rightarrow \pi^+\pi^-$ coupling is crucial in the analysis for extracting the mass of the $\omega$ meson from the $e^+e^- \rightarrow\pi^+\pi^-$ process. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd

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“…In particular, both relativistic and nonrelativistic CQM favor a smaller value of about 2 MeV mass difference for m K * 0 − m K * ± [14,15]. In recent years, chiral constituent quark model [17] is also applied to the study of the K * (892) mass splitting and their results also favor a relatively small mass difference which is about 1.31 ± 0.56 MeV [18][19][20] and significantly smaller than m K 0 − m K ± .…”

Section: Introductionmentioning

confidence: 99%

The mass splitting among the isospin multiplets of light vector mesons

Niu,

Zhou,

Zhao

2019

Preprint

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By including the strong isospin symmetry breaking effects and the electromagnetic contributions between the pseudoscalar mesons, we calculate the phase shifts of the P -wave ππ and Kπ scattering up to O(p 4 ) in the framework of the SU(3) chiral perturbation theory (ChPT) and coupled channel inverse amplitude method. We re-fit the low energy constants with the present meson-meson scattering data and derive the mass differences for the charged and neutral iso-multiplets of ρ and K * . Our results show that the mass difference between ρ ± and ρ 0 is very small while the mass difference between the charged and neutral K * can reach a relatively large value of m K * 0 − m K * + = 2.91 +1.43 −1.41 MeV. This full one-loop ChPT calculation would shed some light towards a better understanding of the long-standing puzzle about the K * mass splitting.

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ρ0-ω mixing in U(3)L×U(3)R chiral theory of mesons}

Cited by 11 publications

References 23 publications

Vector meson dominance and the ρ meson

Vector meson dominance and the ρ meson

Momentum dependence of mixing in the pion vector form factor and its effect on *

The mass splitting among the isospin multiplets of light vector mesons

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