Five-leg photon-neutrino interactions
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In a first part, 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 $γν\toγγν$ 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 in this effective theory the processes $γν\toγγν$ and $γγ\toγν\barν$ and show how to use the $γγ\toγγ$ results as a check. We settle the question of the disagreement between two computations in the literature concerning the reaction $γγ\to γν\barν$. In the second part, we present results of the direct computation of the photon-neutrino five-leg processes in the Standard Model, discuss possible astrophysical implications of our results, and provide simple fits to the exact expressions.
6 pages, axodraw, ltwol2e, 5 figures, contributed paper to the 29th International Conference on High Energy Physics (Vancouver)
6 pages, axodraw, ltwol2e, 5 figures, contributed paper to the 29th International Conference on High Energy Physics (Vancouver)