Asymmetric dark matter from leptogenesis in type-III seesaw framework with modular $S_4$ symmetry
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| Format: | Preprint |
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2026
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| author | Abhishek Mummidi, V. Suryanarayana |
| author_facet | Abhishek Mummidi, V. Suryanarayana |
| contents | We present a unified framework for neutrino masses, baryogenesis, and dark matter based on a modular $S_4$ symmetry combined with a type-III seesaw mechanism. All Yukawa couplings, CP phases, and flavor textures originate from a single complex modulus $τ$, whose vacuum expectation value controls both visible and dark sector dynamics. The same modular parameter fixes the neutrino mass matrix, determines the CP asymmetries driving resonant leptogenesis, and correlates the resulting baryon and dark matter abundances. A detailed numerical analysis shows that the model reproduces all neutrino oscillation data within the $3σ$ NuFIT~5.2 (2024) ranges for normal ordering, predicting $δ_{\rm CP} \simeq \pm (150^\circ-180^\circ)$, $\sum m_ν\simeq(0.06-0.08)~\mathrm{eV}$, and an effective Majorana mass $m_{ββ} \simeq (8 - 18)\times 10^{-3}~\mathrm{eV}$, testable in next-generation neutrinoless double-beta decay experiments. The same modular Yukawas yield resonantly enhanced CP asymmetries $|ε_{L,χ}| \sim 10^{-9}-10^{-6}$ at $M_Σ\sim 10^{7}~\mathrm{GeV}$, successfully generating the observed baryon asymmetry $η_B\simeq6\times10^{-10}$ and dark relic density $Ω_χh^2\simeq0.12$ without additional free parameters. The predicted correlation $Ω_χ/Ω_B\simeq5.4$ fixes the dark matter mass to $m_χ\simeq0.1-2~\mathrm{GeV}$, consistent with all current constraints. This framework therefore realizes a fully predictive baryon$-$dark matter co-genesis, where the geometry of the modular symmetry links the origin of flavor, CP violation, and the cosmic matter asymmetry. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_03384 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Asymmetric dark matter from leptogenesis in type-III seesaw framework with modular $S_4$ symmetry Abhishek Mummidi, V. Suryanarayana High Energy Physics - Phenomenology We present a unified framework for neutrino masses, baryogenesis, and dark matter based on a modular $S_4$ symmetry combined with a type-III seesaw mechanism. All Yukawa couplings, CP phases, and flavor textures originate from a single complex modulus $τ$, whose vacuum expectation value controls both visible and dark sector dynamics. The same modular parameter fixes the neutrino mass matrix, determines the CP asymmetries driving resonant leptogenesis, and correlates the resulting baryon and dark matter abundances. A detailed numerical analysis shows that the model reproduces all neutrino oscillation data within the $3σ$ NuFIT~5.2 (2024) ranges for normal ordering, predicting $δ_{\rm CP} \simeq \pm (150^\circ-180^\circ)$, $\sum m_ν\simeq(0.06-0.08)~\mathrm{eV}$, and an effective Majorana mass $m_{ββ} \simeq (8 - 18)\times 10^{-3}~\mathrm{eV}$, testable in next-generation neutrinoless double-beta decay experiments. The same modular Yukawas yield resonantly enhanced CP asymmetries $|ε_{L,χ}| \sim 10^{-9}-10^{-6}$ at $M_Σ\sim 10^{7}~\mathrm{GeV}$, successfully generating the observed baryon asymmetry $η_B\simeq6\times10^{-10}$ and dark relic density $Ω_χh^2\simeq0.12$ without additional free parameters. The predicted correlation $Ω_χ/Ω_B\simeq5.4$ fixes the dark matter mass to $m_χ\simeq0.1-2~\mathrm{GeV}$, consistent with all current constraints. This framework therefore realizes a fully predictive baryon$-$dark matter co-genesis, where the geometry of the modular symmetry links the origin of flavor, CP violation, and the cosmic matter asymmetry. |
| title | Asymmetric dark matter from leptogenesis in type-III seesaw framework with modular $S_4$ symmetry |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2602.03384 |