Contribution of neutral pseudoscalar mesons to 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>a</mml:mi><mml:mi>μ</mml:mi><mml:mtext>HLbL</mml:mtext></mml:msubsup></mml:math>
 within a Schwinger-Dyson equations approach to QCD

Raya, Khépani; Bashir, Adnan; Roig, Pablo

doi:10.1103/physrevd.101.074021

Cited by 29 publications

(48 citation statements)

References 118 publications

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“…This result agrees with other recent determinations based on lattice QCD [50], Canterbury approximants [51], Dyson-Schwinger equations [52,53] and AdS/QCD models [54]. While a dispersive analysis of the doubly-virtual η/η TFFs has not been completed yet, 5 the method of Canterbury approximants in Ref.…”

Section: Master Formula For a Hlbl μ And Pseudoscalar Pole Contributionssupporting

confidence: 90%

Effects of longitudinal short-distance constraints on the hadronic light-by-light contribution to the muon $$\mathbf {g-2}$$

Lüdtke

Procura

2020

Eur. Phys. J. C

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We present a model-independent method to estimate the effects of short-distance constraints (SDCs) on the hadronic light-by-light contribution to the muon anomalous magnetic moment $$a_\mu ^\text {HLbL}$$ a μ HLbL . The relevant loop integral is evaluated using multi-parameter families of interpolation functions, which satisfy by construction all constraints derived from general principles and smoothly connect the low-energy region with those where either two or all three independent photon virtualities become large. In agreement with other recent model-based analyses, we find that the SDCs and thus the infinite towers of heavy intermediate states that are responsible for saturating them have a rather small effect on $$a_\mu ^\text {HLbL}$$ a μ HLbL . Taking as input the known ground-state pseudoscalar pole contributions, we obtain that the longitudinal SDCs increase $$a_\mu ^\text {HLbL}$$ a μ HLbL by $$(9.1\pm 5.0) \times 10^{-11}$$ ( 9.1 ± 5.0 ) × 10 - 11 , where the isovector channel is responsible for $$(2.6\pm 1.5) \times 10^{-11}$$ ( 2.6 ± 1.5 ) × 10 - 11 . More precise estimates can be obtained with our method as soon as further accurate, model-independent information about important low-energy contributions from hadronic states with masses up to 1–2 GeV become available.

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Section: Master Formula For a Hlbl μ And Pseudoscalar Pole Contributionssupporting

confidence: 90%

Effects of longitudinal short-distance constraints on the hadronic light-by-light contribution to the muon $$\mathbf {g-2}$$

Lüdtke

Procura

2020

Eur. Phys. J. C

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“…Regarding the pseudoscalars, the numbers are comparable with the ones quoted in the literature, e.g., and the more recent determinations in [49,71,72]. A comparison of the transition form factors resulting from both parameter sets is provided in Fig.…”

Section: A Longitudinal Contributionssupporting

confidence: 82%

Axial-vector and pseudoscalar mesons in the hadronic light-by-light contribution to the muon ( g−2 )

et al. 2020

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Despite recent developments, there are a number of conceptual issues on the hadronic light-by-light (HLbL) contribution to the muon (g − 2) which remain unresolved. One of the most controversial ones is the precise way in which short-distance constraints get saturated by resonance exchange, particularly in the so-called Melnikov-Vainshtein limit. In this paper we address this and related issues from a novel perspective, employing a warped five-dimensional model as a tool to generate a consistent realization of QCD in the large-N c limit. This approach differs from previous ones in that we can work at the level of an effective action, which guarantees that unitarity is preserved and the chiral anomaly is consistently implemented at the hadronic level. We use the model to evaluate the inclusive contribution of Goldstone modes and axial-vector mesons to the HLbL. We find that both anomaly matching and the Melnikov-Vainshtein constraint cannot be fulfilled with a finite number of resonances (including the pion) and instead require an infinite number of axial-vector states. Our numbers for the HLbL point at a non-negligible role of axial-vector mesons, which is closely linked to a correct implementation of QCD short-distance constraints.

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“…In fact, with the contribution of various hadronic intermediate states organized in terms of dispersion relations [22][23][24][25][26][27], the pseudoscalar poles are completely determined by the respective TFFs. For the pion, the TFF has, in turn, been reconstructed from dispersion relations [28][29][30][31][32][33][34], leading to a result for the pion-pole contribution in perfect agreement with calculations using Canterbury approximants [35], lattice QCD [36], and Dyson-Schwinger equations [37,38], and a similar program exists for the η, η poles [39][40][41][42][43]. In either case, asymptotic constraints on the TFF are critical in controlling the high-energy part of the g − 2 integral.…”

Section: Jhep05(2020)159mentioning

confidence: 87%

“…In the same way as for the scalar mesons, the leading-order coupling of tensor mesons to vector and axial-vector currents vanishes, so that again the result of the light-cone analysis would be sensitive to the first Gegenbauer coefficient. This Gegenbauer coefficient is usually replaced in terms of decay constants F a T defined as [91,92] 0|j 38) with covariant derivative…”

Section: Tensor Mesonsmentioning

confidence: 99%

Asymptotic behavior of meson transition form factors

Hoferichter

Stoffer

2020

J. High Energ. Phys.

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One of the open issues in evaluations of the contribution from hadronic lightby-light scattering to the anomalous magnetic moment of the muon (g − 2) µ concerns the role of heavier scalar, axial-vector, and tensor-meson intermediate states. The coupling of axial vectors to virtual photons is suppressed for small virtualities by the Landau-Yang theorem, but otherwise there are few rigorous constraints on the corresponding form factors. In this paper, we first derive the Lorentz decomposition of the two-photon matrix elements into scalar functions following the general recipe by Bardeen, Tung, and Tarrach. Based on this decomposition, we then calculate the asymptotic behavior of the meson transition form factors from a light-cone expansion in analogy to the asymptotic limits for the pseudoscalar transition form factor derived by Brodsky and Lepage. Finally, we compare our results to existing data as well as previous models employed in the literature.

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

Cited by 29 publications

References 118 publications

Effects of longitudinal short-distance constraints on the hadronic light-by-light contribution to the muon $$\mathbf {g-2}$$

Effects of longitudinal short-distance constraints on the hadronic light-by-light contribution to the muon $$\mathbf {g-2}$$

Axial-vector and pseudoscalar mesons in the hadronic light-by-light contribution to the muon ( g−2 )

Asymptotic behavior of meson transition form factors

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