Mass dependence of pseudoscalar meson elastic form factors

Chen, Muyang; Ding, M.; Chang, Lei; Roberts, Craig D.

doi:10.1103/physrevd.98.091505

Cited by 67 publications

(98 citation statements)

References 86 publications

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“…We also include another set, viz. those of different neutral pseudoscalar mesons for which the transition form factors have been computed (π 0 , η c , η b ) [24,26] and the electric-charge radii of pion-like mesons with masses m 0 − /GeV = 0.47, 0.69, 0.83 [88]: where comparisons are possible, the charge-radii agree with those computed using lattice-QCD [104,105]. The dashed curve in Fig.…”

Section: Low Qmentioning

confidence: 68%

“…It is worth reiterating that the DAs in Fig. 3 are predictions, deriving from Bethe-Salpeter wave functions computed using the same truncation scheme for the continuum bound-state problem that successfully unified the pion's elastic and transition form factors with those of heavier pseudoscalar mesons [24,26,87,88]. Evidently, within each bound state, the light-and s-quark component DAs have very similar profiles; but there are significant differences between the mesons: the η-meson DAs are both broader than the asymptotic distribution, whereas the η distributions are narrower.…”

Section: Distribution Amplitudesmentioning

confidence: 98%

“…[24,26]. Five-point stars (olive): computed charge radii of pion-like mesons with masses m 0 − /GeV = 0.47, 0.69, 0.83 [88]. Notably, all radii are well described by Eq.…”

Section: Low Qmentioning

confidence: 99%

“…(37). For comparison: upper panel, dot-dashed (purple) curve -pion's dressed-valencequark distribution amplitude[87,88]; and both panels, dotted black curve -asymptotic profile, Eq. (4).…”

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confidence: 99%

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γ*γ→η,η′ transition form factors

et al. 2019

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Using a continuum approach to the hadron bound-state problem, we calculate γ * γ → η, η transition form factors on the entire domain of spacelike momenta, for comparison with existing experiments and in anticipation of new precision data from next-generation e + e − colliders. One novel feature is a model for the contribution to the Bethe-Salpeter kernel deriving from the non-Abelian anomaly, an element which is crucial for any computation of η, η properties. The study also delivers predictions for the amplitudes that describe the light-and strange-quark distributions within the η, η . Our results compare favourably with available data. Important to this at large-Q 2 is a sound understanding of QCD evolution, which has a visible impact on the η in particular. Our analysis also provides some insights into the properties of η, η mesons and associated observable manifestations of the non-Abelian anomaly. * leichang@nankai.edu.cn † cdroberts@anl.gov the bound-state's total momentum. The complete transition form factor is obtained as a sum over the various qq subcomponent contributions:where ψ q M is a flavour weighting factor originating in the meson's wave function.Notably [3-5] (τ 2 := Λ 2 QCD /Q 2 ):i.e. the DA acquires its asymptotic profile and henceConsequently, on τ 0 the γ * γ → M transition form factor exhibits simple scaling; and the anomalous dimension, characteristic of gauge field theories quantised in four dimensions, is "hidden" in the manner of approach to the τ = 0 limit. (N.B. As will become clear, owing to the non-Abelian axial anomaly in QCD, Eq. (5) is amended when M = η, η [6, 7].)An array of experiments have been performed with a view to testing Eqs. (1), (5) for the neutral pion [8][9][10][11]. Such measurements are difficult, typically involving the study of e + -e − collisions, in which one of the outgoing fermions is detected after a large-angle scattering whilst the other is scattered through a small angle and, hence, undetected. The detected fermion is assumed to have emitted a highly-virtual photon, the undetected fermion, a soft-photon; and these photons are supposed to fuse and produce the final-state pseudoscalar meson. There are many possible background processes and loss mechanisms in this passage of events, and thus ample room for systematic error, especially as Q 2 increases [12].

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Section: Low Qmentioning

confidence: 68%

Section: Distribution Amplitudesmentioning

confidence: 98%

“…[24,26]. Five-point stars (olive): computed charge radii of pion-like mesons with masses m 0 − /GeV = 0.47, 0.69, 0.83 [88]. Notably, all radii are well described by Eq.…”

Section: Low Qmentioning

confidence: 99%

“…(37). For comparison: upper panel, dot-dashed (purple) curve -pion's dressed-valencequark distribution amplitude[87,88]; and both panels, dotted black curve -asymptotic profile, Eq. (4).…”

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confidence: 99%

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γ*γ→η,η′ transition form factors

et al. 2019

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“…A similar pattern has been observed with the charge radii. While the π and η c charge radii are obtained with desired accuracy, and the corresponding comparison with the experiment is within the 1.5% level [58,59,64,66], the η − η system suffers from a larger uncertainty [60]. This is due to the fact that the non-Abelian anomaly supplements Eq.…”

Section: Sde-bse Approachmentioning

confidence: 99%

Contribution of neutral pseudoscalar mesons to aμHLbL within a Schwinger-Dyson equations approach to QCD

2020

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The electromagnetic form factors of heavy-light pseudo-scalar and vector mesons

2024

J. High Energ. Phys.

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We systematically investigate the electromagnetic form factors of heavy-light pseudo-scalar and vector mesons within the Dyson-Schwinger/Bethe-Salpeter equations framework for the first time. It is found that the charge radius of vector meson is larger than that of its pseudo-scalar counterpart. In heavy-light systems, the flavor symmetry breaking will lead to a splitting of the form factor of different quark, and the distribution range of lighter and heavier quark gradually expands and contracts, respectively. The competition between them together generates the electromagnetic form factors of meson. Our results can be compared with other theoretical calculations and future experimental data.

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Mass dependence of pseudoscalar meson elastic form factors

Cited by 67 publications

References 86 publications

γ*γ→η,η′ transition form factors

γ*γ→η,η′ transition form factors

Contribution of neutral pseudoscalar mesons to aμHLbL within a Schwinger-Dyson equations approach to QCD

The electromagnetic form factors of heavy-light pseudo-scalar and vector mesons

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