Re-analysing the implications of CPT and unitarity for baryogenesis and leptogenesis

Details Re-analysing the implications of CPT and unitarity for baryogenesis and leptogenesis Re-analysing the implications of CPT and unitarity for baryogenesis and leptogenesis

2011-09-08

arxiv.org/abs/1109.1832v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 3 figs

Scientific paper

In the context of GUT baryogenesis models, it was pointed out by Nanopoulos and Weinberg that CPT conservation and the unitarity of S-matrix ensures that the net CP-violation generated in the decay of a heavy particle by graphs to first order in baryon number (B) violation is zero. We revisit this theorem (which holds for lepton number (L) violation as well) by systematically expanding the S-matrix order by order in B\slash L-violating couplings and find a re-formulation wherein certain consistent schemes of B\slash L assignment lead to the presence of both B\slash L conserving and B\slash L violating decay modes of a heavy particle. In such schemes, the net CP-violation is shown to be non-zero even with graphs to first order in B/L violation without actually contradicting the theorem. As an application of this result, we construct a model in low-scale leptogenesis.

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