Direct computation of inelastic photon-neutrino processes in the Standard Model

Abstract

In this paper, we compute the Standard Model polarized amplitudes and cross sections of the processes $\gamma \nu \to \gamma \gamma \nu$, $\gamma \gamma \to \gamma \nu \bar{\nu }$ and $\nu \bar{\nu }\to \gamma \gamma \gamma$, for centre-of-mass energies $\omega$ within the range of validity of the Fermi theory. By using a large electron-mass expansion of the exact result, we also derive the first correction term to the effective, low-energy ($\omega <m_e$) formula for $\gamma \nu \to \gamma \gamma \nu$. Finally, we discuss possible astrophysical implications of our results and provide simple fits to the exact expressions.

Comments: 19 pages, 3 Postscript figures, uses axodraw.sty