Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update

Colangelo, Gilberto; Hagelstein, Franziska; Hoferichter, Martin; Laub, Laetitia; Stoffer, Peter

doi:10.48550/arxiv.2106.13222

Cited by 10 publications

(11 citation statements)

References 58 publications

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“…This model was, however, not meant primarily as a phenomenological model for estimating the contributions of excited pseudoscalars but rather as a model for estimating the effects of the longitudinal SDCs, which according to the hQCD models are instead provided by the axial vector mesons. As far as these effects are concerned, our present results are not far above the estimates obtained in [24,25,46,47]; all are significantly below the estimates obtained with the so-called MV model [8], where the ground-state pion contribution is modified.…”

Section: Introductioncontrasting

confidence: 77%

Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with massive pions

Leutgeb,

Rebhan

2021

Preprint

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We extend our previous calculations of the hadronic light-by-light scattering contribution to the muon anomalous magnetic moment in holographic QCD to models with finite quark masses and a tower of massive pions. Analysing the role of the latter in the Wess-Zumino-Witten action, we show that the Melnikov-Vainshtein short-distance constraint is satisfied solely by the summation of contributions from the infinite tower of axial vector meson contributions. There is also an enhancement of the asymptotic behavior of pseudoscalar contributions when their infinite tower of excitations is summed, but this leads only to subleading contributions for the short-distance constraints on light-by-light scattering. We also refine our numerical evaluations, particularly in the pion and a 1 sector, which corroborates our previous findings of contributions from axial vector mesons that are significantly larger than those adopted for the effects of axials and short-distance constraints in the recent White Paper on the Standard Model prediction for (g − 2) µ .

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Section: Introductioncontrasting

confidence: 77%

Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with massive pions

Leutgeb,

Rebhan

2021

Preprint

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“…The latter results (with or without 2 the excited pseudoscalar contributions) could be compared to the WP [3] values attributed to the axial sector and contributions related to the SDC, a WP,axials µ = 6(6) × 10 −11 and a WP,SDC µ = 15(10) × 10 −11 , which with linearly added errors gives 21(16) × 10 −11 , which is significantly smaller. While the estimates for the SDC contribution is more or less compatible [106,107], the main difference comes from the (transverse) contribution of axial vector mesons. The holographic QCD results thus 1 The fact that the higher axial vector meson modes do not become more important for HW2(UV-fit) has to do with the relatively large masses of excited axial vector mesons in this case (m HW1 [38]).…”

Section: Results For the Hlbl Contribution To A µmentioning

confidence: 94%

Holographic QCD and the muon anomalous magnetic moment

Leutgeb,

Mager,

Rebhan

2021

Preprint

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We review the recent progress made in using holographic QCD to study hadronic contributions to the anomalous magnetic moment of the muon, in particular the hadronic light-by-light scattering contribution, where the short-distance constraints associated with the axial anomaly are notoriously difficult to satisfy in hadronic models. This requires the summation of an infinite tower of axial vector mesons, which is naturally present in holographic QCD models, and indeed takes care of the longitudinal short-distance constraint due to Melnikov and Vainshtein. Numerically the results of simple hard-wall holographic QCD models point to larger contributions from axial vector mesons than assumed previously, while the predicted contributions from pseudo-Goldstone bosons agree nicely with datadriven approaches.

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“…Interestingly, the holographic models also predict a more sizeable axialmeson contribution than previously estimated (see e.g. [39] for a detailed comparison). This conclusion has been shown to be solid even in the presence of quark-mass corrections [40].…”

Section: Introductionmentioning

confidence: 55%

Scalar resonances in the hadronic light-by-light contribution to the muon $(g-2)$

Cappiello,

Catà,

D'Ambrosio

2021

Preprint

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We evaluate the contribution of scalar mesons to the hadronic light-by-light piece of the muon anomalous magnetic moment, using a warped five-dimensional model and holographic methods. We assess the contribution of the lightest, sub-GeV scalars σ(500), a0(980) and f0(990) together with their associated towers of excited states, which the model generates automatically. Our results point at a clearly negative contribution, overwhelmingly dominated by the σ(500) meson, that we estimate at a HLbL,S µ = −9(2) • 10 −11 . This number is in very good agreement with the most recent determinations from dispersive analyses.

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Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update

Cited by 10 publications

References 58 publications

Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with massive pions

Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with massive pions

Holographic QCD and the muon anomalous magnetic moment

Scalar resonances in the hadronic light-by-light contribution to the muon $(g-2)$

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