On modeling the scalar meson dynamics with Resonance Chiral Theory

Ivashyn, S.; Korchin, A.

doi:10.48550/arxiv.0904.4823

Cited by 3 publications

(19 citation statements)

References 15 publications

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“…A brief summary of the model is given in Appendix A. We would like to remark that a similar approach was applied in the context of other processes in [47][48][49].…”

Section: Our Approach and The Resultsmentioning

confidence: 99%

Two-photon form factors of theπ0,η, andη′mesons in the chiral theory with resonances

Czyż

Ivashyn²,

Korchin³

et al. 2012

Phys. Rev. D

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We have developed a phenomenological approach which describes very well the π 0 , η and η ′ meson production in the two-photon interactions. The simultaneous description of the π 0 , η and η ′ meson two-photon form factors is consistent with data in the space-like region. The obtained form factors are implemented in the event generator EKHARA and the simulated cross sections are presented. Uncertainties in the measured form factors coming from the model dependence in Monte Carlo simulations are studied. The model predictions for the form factor slopes at the origin are given and the high-Q 2 limit is also discussed.

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“…A brief summary of the model is given in Appendix A. We would like to remark that a similar approach was applied in the context of other processes in [47][48][49].…”

Section: Our Approach and The Resultsmentioning

confidence: 99%

Two-photon form factors of theπ0,η, andη′mesons in the chiral theory with resonances

Czyż

Ivashyn²,

Korchin³

et al. 2012

Phys. Rev. D

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“…These numbers are found to be quite off the physical ones, c d ≈ 30 MeV, G V ≈ 60 MeV, M V ≈ 770 MeV [8,9,23,24,26,27,28,51]. The LEC prediction for the standard comparison scale µ 0 = 770 MeV then result,…”

Section: Phenomenologymentioning

confidence: 95%

“…At low energies, we can match the large-N C expression (24) with the χPT expression ( 23), obtaining the LO prediction for the low energy coupling constants L 8 and C 38 ,…”

Section: Equations Of Motion and Redundant Operatorsmentioning

confidence: 99%

“…Integrating out the heavy resonance states leaves at low energies the corresponding chiral invariant effective theory, χPT. Many works have investigated various aspects of RχT: equivalence of formalisms [9,11,12,13]; Green functions [14,15,16,17,18,19,20]; applications to phenomenology [14,21,22,23,24,25,26,27]; determination of chiral low-energy constants (LECs) at NLO in 1/N C [21,29,30,31,32]; determination of the one-loop ultraviolet divergence structures in the generating functional [33]; implications about the renormalizability [34,35]; possible issues with extra degrees of freedom in the renormalized propagator [36,37]; renormalization group studies [38].…”

Section: Introductionmentioning

confidence: 99%

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High energy constraints in the octet SS-PP correlator and resonance saturation at NLO in 1/Nc

Sanz-Cillero,

Trnka

2009

Preprint

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We study the octet SS − P P correlator within resonance chiral theory up to the oneloop level, i.e., up to next-to-leading order in the 1/N C expansion. We will require that our correlator follows the power behaviour prescribed by the operator product expansion at high euclidian momentum. Nevertheless, we will not make use of short-distance constraints from other observables. Likewise, the high-energy behaviour will be demanded for the whole correlator, not for individual absorptive channels. The amplitude is progressively improved by considering more and more complicated operators in the hadronic lagrangian. Matching the resonance chiral theory result with chiral perturbation theory at low energies produces the estimates L 8 (µ) SU (3) = (1.0±0.4)•10 −3 and C 38 (µ) SU (3) = (8±5)•10 −6 for µ = 770 MeV. The effect of alternative renormalization schemes is also discussed in the article.

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“…To describe the processes (20) we use the Lagrangian of RχT [20] at the linear-in-resonance level, following [12,24]. The basic features of the Lagrangian framework of the RχT are sketched in Appendix A.…”

Section: Scalar Contributionmentioning

confidence: 99%

e+e- annihilation to (pi0 pi0 gamma) and (pi0 eta gamma) as a source of information on scalar and vector mesons

Eidelman,

Ivashyn,

Korchin

et al. 2010

Preprint

Self Cite

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We present a general framework for the model-independent decomposition of the fully differential cross section of the reactions e + e − → γ * → π 0 π 0 γ and e + e − → γ * → π 0 ηγ, which can provide important information on the properties of scalar mesons: f0(600), f0(980) and a0(980). For the model-dependent ingredients in the differential cross section, an approach is developed, which relies on Resonance Chiral Theory with vector and scalar mesons. Numerical results are compared to data. The framework is convenient for development of a Monte Carlo generator and can also be applied to the reaction e + e − → γ * → π + π − γ.

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On modeling the scalar meson dynamics with Resonance Chiral Theory

Cited by 3 publications

References 15 publications

Two-photon form factors of theπ0,η, andη′mesons in the chiral theory with resonances

Two-photon form factors of theπ0,η, andη′mesons in the chiral theory with resonances

High energy constraints in the octet SS-PP correlator and resonance saturation at NLO in 1/Nc

e+e- annihilation to (pi0 pi0 gamma) and (pi0 eta gamma) as a source of information on scalar and vector mesons

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