Dispersive approach to hadronic light-by-light scattering

2014/02/28 by G. Colangelo, Gilberto Colangelo, Martin Hoferichter +5 · 5 citations
Computer Science · Physics and Astronomy · #Anomalous magnetic dipole moment #Computational Physics and Python Applications #Dispersion relation #Elementary particle #Formalism (music) #Hadron #Particle physics theoretical and experimental studies #Pion #Quantum Chromodynamics and Particle Interactions #Scattering #hep-ex #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1007/jhep09(2014)091

33 pages, 4 figures; version accepted for publication in JHEP, improved presentation, including non-diagonal kernels for the S-waves

arxiv created 2014/08/22 · openalex publication_date 2014/09/01 · arxiv updated 2015/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Based 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.

Citations

• Roy–Steiner equations for γγ→ππ
• Hadronic contributions to the muon g−2 and low-energy QCD
• MO analysis of the high statistics Belle results on γ γ→π + π −, π 0 π 0 with chiral constraints

Cited by

• Dispersion relation for hadronic light-by-light scattering: theoretical foundations
• Updated pseudoscalar contributions to the hadronic light-by-light of the muon (g − 2)
• Limiting two-Higgs-doublet models
• Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules
• Electron–positron annihilation into hadrons at the higher-loop levels