Abstract
Abstract
We revisit well-known short-distance constraints relating the hadronic light-by light Green’s function to the ⟨VVA⟩ one, that have been a subject of debate over the past years in the context of the muon (g − 2). Specifically, we identify a relation among the longitudinal and transverse degrees of freedom that is enforced by the axial anomaly that, by contrast, has not received attention in the past. Such relation allows, among other things, to overcome the problem of basis ambiguities when describing axial-vector mesons transition form factors, but further applications are discussed as well, with special focus on the role of axial-vector mesons in the HLbL contribution to the muon (g − 2). Our results should also contribute to a better understanding of the, so far, controversial interplay among short-distance constraints with longitudinal and transverse degrees of freedom, such as axial-vector mesons. This is key to confront the theoretical and experimental result for the muon (g − 2) that, currently, exhibits a 4.2σ tension.
Funder
Consejo Nacional de Ciencia y Tecnología
Ministerio de Ciencia e Innovación
H2020 Marie Skłodowska-Curie Actions
Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional
Fundación Marcos Moshinsky
Departament d'Innovació, Universitats i Empresa, Generalitat de Catalunya
Subject
Nuclear and High Energy Physics
Cited by
13 articles.
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