Absence of resonant enhancements in some inclusive rates

Details Absence of resonant enhancements in some inclusive rates Absence of resonant enhancements in some inclusive rates

2003-12-11

arxiv.org/abs/hep-ph/0312158v4

Phys.Rev. D69 (2004) 083001

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, no figures. Some typos corrected. More typos corrected

Scientific paper

10.1103/PhysRevD.69.083001

A toy model is defined and solved perturbatively with the aim of examining some claimed "resonant" enhancements of certain reaction rates that enter popular models of leptogenesis. We find: a) that such enhancements are absent; and b) that the perturbative solution, as done correctly using finite- temperature field theory, is well defined without the "resumming" procedures found in the literature. The pathologies that led to the perceived need for these procedures are an artifact of uncritical use of weighted vacuum cross- sections in the determination of rates, without adequate attention to the effects of the medium upon the single particle states within it.

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