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Leptogenesis and Dirac neutrino masses in SO(10)

2025/08/08 by R. Aleksan, Aleksan, R., L. Oliver +1
Physics and Astronomy · #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2508.06714

openalex publication_date 2025/08/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Within the scheme of Baryogenesis through Leptogenesis in the single flavor approximation, we emphasize the role of the Dirac neutrino mass mD in the SO(10) Grand Unification scheme, using the Higgs representations for the fermions masses \bf 10 and \bf 126. Both representations are needed to get relations among the fermion masses, e.g. mb = mτ, mμ= 3 ms,... Taking these two representations allow to relax the condition mD = mu obtained with the representation \bf 10 alone and to have general Dirac masses mD \not = mu. On the other hand, we assume that the antisymmetric representation \bf 120 is absent. Within this hypothesis, the unitary matrices VL and VR that diagonalize mD through mD = VL † mDdiag VR still satisfy the relation VR = VL*. Under these conditions, unlike the case of keeping only the \bf 10 representation, we obtain in parameter space several examples of the heavy neutrino spectrum consistent with the SO(10) unification scale, and a value for the baryon asymmetry YB in agreement with data. For illustration, we detail a case that gives the heavy spectrum with masses M1 = 6.26 × 1010 \rm GeV, M2 = 2.23 × 1012 \rm GeV, M3 = 4.57 × 1014 \rm GeV and, in the strong washout regime, the baryon asymmetry YB = 8.50 × 10-11 consistent with the data.

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