Dispersive approach to hadronic light-by-light scattering

By G. Colangelo, M. Hoferichter, M. Procura, P. Stoffer. 2014

144 citations recorded by the source corpus.

A bstractBased on dispersion theory, we present a formalism for a model-independent evaluation of the hadronic light-by-light contribution to the anomalous magnetic moment of the muon. In particular, we comment on the definition of the pion pole in this framework and provide a master formula that relates the effect from ππ intermediate states to the partial waves for the process γ*γ*→ ππ. All contributions are expressed in terms of on-shell form factors and scattering amplitudes, and as such amenable to an experimental determination.

Subfields: Artificial Intelligence, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6f57d514bf3addd8c515486fee555d735322e173

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In Nuclear and High Energy Physics

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Citations in the corpus

• Limiting two-Higgs-doublet models (2014, background): “The second term, also of O(α3), is the leading hadronic light-by-light contribution; the latest calculations of this term, 105 (26) × 10−11 [60] and 116 (39) × 10−11 [57], are in good agreement, and an intense research program is under way to improve its evaluation [61–64].”
• The anomalous magnetic moment of the muon in the Standard Model (2020, unknown): “…Model T. Aoyama1,2,3, N. Asmussen4, M. Benayoun5, J. Bijnens6, T. Blum7,8, M. Bruno9, I. Caprini10, C. M. Carloni Calame11, M. Cè9,12,13, G. Colangelo14, F. Curciarello15,16, H. Czyż17, I. Danilkin12, M. Davier18, C. T. H. Davies19, M. Della Morte20, S. I. Eidelman21,22, A. X.…”
• Scattering processes and resonances from lattice QCD (2017, background): “→ ππ, which plays a role in a wide range of phenomenology, principally through the isospin=1 P -wave amplitude, which features the ρ resonance (see, for example, (Capraro et al., 1987; Colangelo et al., 2014a,b; Huston et al., 1986; Wess and Zumino, 1971; Witten, 1983)).”
• Dispersion relation for hadronic light-by-light scattering: two-pion contributions (2017, unknown): “4, we will provide a first estimate of the two-pion rescattering contribution by solving the Roy–Steiner equations for S-waves, using a pion-pole LHC and ππ phase shifts based on the inverse-amplitude method [64–69].”