A full analytic solution of $SO(10)$-inspired leptogenesis

Abstract

Recent encouraging experimental results on neutrino mixing parameters prompt further investigation on $SO(10)$-inspired leptogenesis and on the associated strong thermal solution that has correctly predicted a non-vanishing reactor mixing angle, it further predicts $\sin \delta \lesssim 0$, now supported by recent results at $\sim 95\%$ C.L., normally ordered neutrino masses and atmospheric mixing angle in the first octant, best fit results in latest global analyses. Extending a recent analytical procedure, we account for the mismatch between the Yukawa basis and the weak basis, that in $SO(10)$-inspired models is described by a CKM-like unitary transformation $V_L$, obtaining a full analytical solution that provides useful insight and reproduces accurately all numerical results, paving the way for future inclusion of different sources of theoretical uncertainties and for a statistical analysis of the constraints. We show how muon-dominated solutions appear for large values of the lightest neutrino mass in the range $(0.01$--$1)\mathrm{eV}$ but also how they necessarily require a mild fine tuning in the seesaw relation. For the dominant (and untuned) tauon-dominated solutions we show how, turning on $V_L\simeq V_{CKM}$, some of the constraints on the low energy neutrino parameters get significantly relaxed. In particular we show how the upper bound on the atmospheric neutrino mixing angle in the strong thermal solution gets relaxed from ${\theta }_{23}\lesssim 41^{\circ }$ to ${\theta }_{23}\lesssim 44^{\circ }$, an important effect in the light of the most recent NO$\nu$A, T2K and IceCube results.

34 pages, 4 figures; v2: matches JHEP version; v3: simple typo corrected: right-hand sides of Eqs. (47) and (48) were swapped in the paper (not in the code)

References in corpus (11)

• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Flavour Matters in Leptogenesis
• First combined analysis of neutrino and antineutrino oscillations at T2K
• Flavoured leptogenesis: a successful thermal leptogenesis with N_1 mass below 10^8 GeV
• Measurement of the neutrino mixing angle ${\theta }_{23}$ in NOvA
• New aspects of leptogenesis bounds
• Successful type I Leptogenesis with SO(10)-inspired mass relations
• The problem of the initial conditions in flavoured leptogenesis and the tauon N_2-dominated scenario
• Decrypting $SO(10)$-inspired leptogenesis
• Examining leptogenesis with lepton flavor violation and the dark matter abundance

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• Strong thermal $SO(10)$-inspired leptogenesis in the light of recent results from long-baseline neutrino experiments
• Flavour anomalies and dark matter assisted unification in $SO(10)$ GUT
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