Photons, neutrinos and optical activity

Abstract

We compute the one-loop helicity amplitudes for low-energy $\nu \gamma \to \nu \gamma$ scattering and its crossed channels in the standard model with massless neutrinos. In the center of mass, with $\sqrt{s}=2\omega \ll 2m_e$, the cross sections for these $2\to 2$ channels grow roughly as ${\omega }^6$. The scattered photons in the elastic channel are circularly polarized and the net value of the polarization is non-zero. We also present a discussion of the optical activity of a sea of neutrinos and estimate the values of its index of refraction and rotary power.

9 pages, ReVTeX4, 6 figures included

References in corpus (10)

• New features of FORM
• Cosmological implications of a Relic Neutrino Asymmetry
• Neutrino-photon reactions in astrophysics and cosmology
• Photon neutrino scattering
• Standard Model Contributions to the Neutrino Index of Refraction in the Early Universe
• High energy photon-neutrino interactions
• Optical Activity of a Neutrino Gas
• Photons, neutrinos and large compact space dimensions
• High energy photon-neutrino elastic scattering
• Time-reversal-violating birefringence of photon in a medium exposed to electric and magnetic field

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• Dispersive Light Propagation at Cosmological Distances: Matter Effects
• Photon-Neutrino Interactions
• Optical activity of neutrinos and antineutrinos
• Towards interferometry of neutrino electromagnetism
• Birefringence of electromagnetic waves in the relic neutrino gas
• Neutrino-Induced Polarization Rotation in Active Galactic Nuclei Plasmas