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Leptogenesis andμ−τsymmetry

2004/10/31 by R. N. Mohapatra, Salah Nasri, S. Nasri · 10 citations
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #astro-ph #hep-ph

paper · pdf · doi:10.1103/physrevd.71.033001

published as Phys.Rev. D71 (2005) 033001 · 5 pages; latex; no figures; some typos corrected

arxiv created 2004/12/29 · openalex publication_date 2005/02/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

If an exact \ensuremathμ\ensuremath↔\ensuremathτ symmetry is the explanation of the maximal atmospheric neutrino mixing angle, it has interesting implications for the origin of matter via leptogenesis in models where small neutrino masses arise via the seesaw mechanism. For seesaw models with two right-handed neutrinos (N_\ensuremathμ,N_\ensuremathτ), lepton asymmetry vanishes in the exact \ensuremathμ\ensuremath↔\ensuremathτ symmetric limit, even though there are nonvanishing Majorana phases in the neutrino mixing matrix. On the other hand, for three right-handed neutrino models, lepton asymmetry is nonzero and is given directly by the solar mass difference square. We also find an upper bound on the lightest neutrino mass.

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