Towards a data-driven analysis of hadronic light-by-light scattering

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

171 citations recorded by the source corpus.

The hadronic light-by-light contribution to the anomalous magnetic moment of the muon was recently analyzed in the framework of dispersion theory, providing a systematic formalism where all input quantities are expressed in terms of on-shell form factors and scattering amplitudes that are in principle accessible in experiment. We briefly review the main ideas behind this framework and discuss the various experimental ingredients needed for the evaluation of one- and two-pion intermediate states. In particular, we identify processes that in the absence of data for doubly-virtual pion–photon interactions can help constrain parameters in the dispersive reconstruction of the relevant input quantities, the pion transition form factor and the helicity partial waves for γ⁎γ⁎→ππ.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f43d0abffc5d29d65707eb469f2f6af95d28a7f2

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In Nuclear and High Energy Physics

1. M. Hoferichter
2. C. Fischer
3. P. Stoffer
4. G. Colangelo
5. R. Young
6. F. Jegerlehner
7. J. Dudek
8. G. Eichmann

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].”
• Dispersion relation for hadronic light-by-light scattering: two-pion contributions (2017, methodology): “In order to improve the determination of the HLbL contribution, we proposed a dispersive framework [28], based on the fundamental principles of analyticity, unitarity, gauge invariance, and crossing symmetry, which opens up a path towards a data-driven evaluation [29].”
• Muon g-2 Theory: the Hadronic Part (2017, background): “The next-to-next leading order (NNLO) contributions have been calculated recently [31].”
• Baryons as relativistic three-quark bound states (2016, background): “There are ongoing efforts in lattice QCD [703] and dispersive approaches [704, 705] to provide model-independent information on the magnitude of the HLbL contribution.”
• 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)).”