Two-Neutrino Five-Photon Scattering at Low Energies

Abstract

We extend earlier constructions of the effective action for neutrino-photon scattering, using the connection between low-energy neutrino-photon and photon-photon scattering together with the known effective Lagrangian describing low-energy photon scattering in QED. We use this effective action to calculate analytic expressions for the low-energy cross section for the (unpolarised) processes $ν\nubar \to 5 γ$, $\nu \gamma \to \nu +4\gamma$ and $γγ\to ν\nubar + 3 γ$. As a byproduct we derive compact expressions for the $N$-body phase-space integrals for massless particles, including those having non-trivial tensor-structure.

14 pages, plain tex, no figures. Two references added

References in corpus (5)

• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part I
• Neutrino interactions with a weak slowly varying electromagnetic field
• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part II
• Axial vector current in an electromagnetic field and low-energy neutrino-photon interactions
• Neutrino-photon Scattering in a Magnetic Field

Cited by in corpus (3)

• The Glashow resonance in neutrino-photon scattering
• Exclusive production of pseudoscalar mesons in neutrino-photon interactions
• Multi-photon Decays of the Higgs Boson in Standard Model: Leading Terms from Heisenberg-Euler Effective Lagrangian