Photons, neutrinos and optical activity

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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9 pages, ReVTeX4, 6 figures included

Scientific paper

10.1103/PhysRevD.64.113007

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.

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