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

Cappiello, Luigi; Catà, Óscar; D’Ambrosio, Giancarlo; Greynat, David; Iyer, Abhishek M.

doi:10.1103/physrevd.102.016009

Cited by 50 publications

(75 citation statements)

References 73 publications

(130 reference statements)

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“…As was shown in Ref. [21], if one defines 11) then in the static limit for the studied kinematic region, one can factor out the soft photon contributions according to…”

Section: The Hlbl Tensormentioning

confidence: 97%

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Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment

2019

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The hadronic light-by-light contribution to the muon anomalous magnetic moment depends on an integration over three off-shell momenta squared (Q 2 i) of the correlator of four electromagnetic currents and the fourth leg at zero momentum. We derive the short-distance expansion of this correlator in the limit where all three Q 2 i are large and in the Euclidean domain in QCD. This is done via a systematic operator product expansion (OPE) in a background field which we construct. The leading order term in the expansion is the massless quark loop. We also compute the non-perturbative part of the next-to-leading contribution, which is suppressed by quark masses, and the chiral limit part of the next-to-next-to leading contributions to the OPE. We build a renormalisation program for the OPE. The numerical role of the higher-order contributions is estimated and found to be small.

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“…As was shown in Ref. [21], if one defines 11) then in the static limit for the studied kinematic region, one can factor out the soft photon contributions according to…”

Section: The Hlbl Tensormentioning

confidence: 97%

“…There has been a lot of recent work in the latter regime, examples are Refs. [7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment

2019

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“…estimates for the contribution to HLbL scattering from such heavy intermediate states rely on the available phenomenological information [75] and/or further input from the matching to short-distance constraints [44,76,77], resonance chiral theory [78], or holographic models [79,80].…”

Section: Jhep05(2020)159mentioning

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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“…The particle-like excitations correspond to normalizable solutions of Sturm-Liouville equation (14). It is known that they form an infinite discrete set v n (z).…”

Section: The Soft Wall Modelmentioning

confidence: 99%

“…We get then a self-consistent physical picture -on the one hand, the infinite tower of formal KK states provides a correct high energy asymptotics for hadronic correlation functions (the importance of this requirement for internal consistency of the model was recently emphasized in Refs. [12][13][14]), on the other hand, each KK state in this tower can be traded for a state interpolated by a definite set of QCD operators and thus interpreted as a real excited meson in the large-N c limit.…”

Section: Introductionmentioning

confidence: 99%

Towards reconciling the holographic and lattice descriptions of radially excited hadrons

Afonin

2020

Eur. Phys. J. C

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Within the framework of AdS/QCD models, the spectra of radially excited hadrons are identified with towers of Kaluza–Klein (KK) states in a putative dual theory. The infinite number of KK states is indispensable to provide correct high energy asymptotics of correlation functions in QCD. It is known, however, that the KK modes of dual theory must be qualitatively different from real hadrons. And what is more important, the radially excited states appear in lattice calculations not as ”excitations” of some ground state, but rather as independent states coupled to higher dimensional QCD operators – the larger is a basis of interpolating operators, the larger set of states can be resolved. A question arises whether is it possible to reconcile the holographic and lattice descriptions of radially excited hadrons? We propose a new phenomenological ”consistency test” for bottom-up holographic models: If the KK spectrum of massive 5D fields dual to higher dimensional operators in QCD coincides with the conventional radial KK spectrum, then the holographic KK states can be identified with real excited mesons in the large-$$N_c$$Nc limit of QCD. We demonstrate that the Soft Wall holographic model passes this test while the Hard Wall model does not.

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

Cited by 50 publications

References 73 publications

Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment

Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment

Asymptotic behavior of meson transition form factors

Towards reconciling the holographic and lattice descriptions of radially excited hadrons

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