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On axials and pseudoscalars in the hadronic light-by-light contribution to the muon $(g-2)$
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abstract
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 (MV) 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 MV 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.
Forward citations
Cited by 11 Pith papers
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Precision evaluation of the $\eta$- and $\eta'$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
A new dispersive analysis of the eta and eta-prime transition form factors gives a_mu(eta-pole) = 14.7(9) x 10^-11 and a_mu(eta'-pole) = 13.5(7) x 10^-11, with combined pseudoscalar poles at 91.2(+2.9,-2.4) x 10^-11.
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Tensor meson transition form factors in holographic QCD and the muon $g-2$
Holographic QCD predicts a positive tensor-meson contribution of about +11e-11 to the muon g-2, driven by a previously omitted doubly-virtual form factor.
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Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$
Using a dispersive formalism with experimental transition form factors and short-distance constraints, the authors obtain a_mu^HLbL = 101.9(7.9) x 10^-11, halving the previous uncertainty.
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HadroTOPS: A Monte Carlo Event Generator For Hadron Production In Two-Photon Scattering In Electron Positron Collisions
A new Monte Carlo generator, HadroTOPS, implements the fully differential exclusive e+e- -> e+e- M1M2 cross-section with azimuthal modulations and covers pi+pi-, pi0pi0, pi0eta, K+K-, KsKs, eta eta, and f1(1285) modes.
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Longitudinal short-distance constraints on hadronic light-by-light scattering and tensor meson contributions to the muon $g-2$
In hard-wall holographic QCD, the infinite tower of tensor mesons fills most of the missing symmetric longitudinal short-distance constraint and yields a total hadronic light-by-light contribution of about +11 x 10^-1...
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Dispersion relation for hadronic light-by-light scattering: $\eta$ and $\eta'$ poles
A dispersive analysis of the eta and eta' transition form factors yields data-driven pole contributions to the muon g-2 of 14.7(9) x 10^-11 and 13.5(7) x 10^-11.
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Dispersion relation for hadronic light-by-light scattering: subleading contributions
A dispersive evaluation gives a_mu^HLbL subleading = 33.2(7.2) x 10^-11 and total = 101.9(7.9) x 10^-11.
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Superconnections in AdS/QCD and the hadronic light-by-light contribution to the muon $g-2$
A scalar-extended Chern-Simons superconnection in hard-wall AdS/QCD improves f1-f1' mixing and photon rates while leaving the combined axial-vector plus excited-pseudoscalar HLBL contribution to muon g-2 stable near 32e-11.
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Constraints on the hadronic light-by-light tensor in corner kinematics for the muon $g-2$
In corner kinematics, the hadronic light-by-light tensor including gluonic corrections reduces at the studied order to a compact integrand depending only on axial-current form factors.
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The light-by-light contribution to the muon g-2 within the nonlocal chiral quark model with vector and axial-vector mesons
The nonlocal chiral quark model with vector and axial-vector mesons yields a hadronic light-by-light contribution to the muon g-2 of (157±10.6)x10^-11, with vector-meson photon dressing contributing only a few units.
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Muon lifetime and Fermi constant: an update
Updated Δq = (−4 384 678 ± 34)×10^{-9} reduces theory error on the muon lifetime by an order of magnitude and gives G_F = 1.166 378 59(59)×10^{-5} GeV^{-2}.
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