Erratum: Pseudoscalar transition form factors and the hadronic light-by-light contribution to the anomalous magnetic moment of the muon from holographic QCD [Phys. Rev. D 100 , 094038 (2019)]

Hadronic contributions to the muon g − 2 in holographic QCD

“…In ref. [34] we have carried out a complete evaluation and found good agreement with the data-driven (dispersive) result, which is bracketed by the HW1 and HW2 results when these models are fitted to f π and m ρ . With such a fit, the HW2 model, which has one parameter less than the chiral HW1 model, actually undershoots the asymptotic limit of (6) by 38% (fitting the asymptotic limit would instead lead to an overweight ρ meson with mass of 987 MeV).…”

“…Indeed, the HW1 model with complete UV fit underestimates HVP. Reducing g 2 5 by 10% (which is achieved by fitting instead the decay constant of the ρ meson) brings the HVP in line with the dispersive result (to within 5%) [37] and also makes the HLBL result a π 0 µ completely coincident with the central WP value [38].…”

“…In hQCD models with correct short-distance limit of the TFFs, the coefficient on the right-hand side comes out 19% smaller [38,43].…”

“…In [38] two of us have shown that also in the HW1 model with massive quarks the infinite tower of axial vector mesons is responsible for the realization of the MV-SDC. The infinite tower of excited pseudoscalars, which does not decouple from the anomaly relation away from the chiral limit, contributes only subleading terms (10).…”

“…While being completely absent in the chiral HW2 model, excited pseudoscalars, which decouple from the axial current in the chiral limit, always contribute to a µ in the HW1 model and its variants. This has been studied in [38] in the flavor-symmetric case with and without modified scaling dimension of the bifundamental scalar and also for different boundary conditions on the hard wall. The various models show some differences in the composition of the contributions to a µ , but hardly deviate from the sum total in the chiral model (where the physical pion mass is inserted manually in the pion propagator).…”