Further studies on relic neutrino asymmetry generation II: a rigorous treatment of repopulation in the adiabatic limit

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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RevTeX, 11 pages, no figures

Scientific paper

10.1103/PhysRevD.62.093025

We derive an approximate relic neutrino asymmetry evolution equation that systematically incorporates repopulation processes from the full quantum kinetic equations (QKEs). It is shown that in the collision dominant epoch, the said equation reduces precisely to the expression obtained previously from the static/adiabatic approximation. The present treatment thus provides a rigorous justification for the seemingly incongruous assumptions of a negligible repopulation function and instantaneous repopulation sometimes employed in earlier works.

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