Inelastic photon-neutrino interactions using an effective Lagrangian

Abstract

We justify the feasibility of substituting a photon leg by a neutrino current in the Euler-Heisenberg Lagrangian to obtain an effective Lagrangian for the process $\gamma \nu \to \gamma \gamma \nu$ and its crossed reactions. We establish the link between these processes and the four-photon scattering in both the Standard Model and the effective theory. As an application, we compute the processes $\gamma \nu \to \gamma \gamma \nu$ and $\gamma \gamma \to \gamma \nu \bar{\nu }$, give their polarized cross sections, and show how to use the $\gamma \gamma \to \gamma \gamma$ results as a check. We settle the question about the disagreement between two computations in the literature concerning the reaction $\gamma \gamma \to \gamma \nu \bar{\nu }$.

14 pages, RevTeX, axodraw, 3 figures, comment added

Cited by in corpus (11)

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• The Glashow resonance in neutrino-photon scattering
• The QED four-photon amplitudes off-shell: part 2
• The QED four -- photon amplitudes off-shell: part 1
• Axial vector current in an electromagnetic field and low-energy neutrino-photon interactions
• Direct computation of inelastic photon-neutrino processes in the Standard Model
• Neutrino-photon reactions for energies above $m_e$
• Exclusive production of pseudoscalar mesons in neutrino-photon interactions
• Two-Neutrino Five-Photon Scattering at Low Energies
• Low-energy photon-neutrino inelastic processes beyond the Standard Model
• Assisted neutrino pair production in combined external fields