- Accepted Paper
Nonstandard solution for anomaly cancellation as seesaw neutrino origin in the SM
Phys. Rev. D - Accepted 2 November, 2026
DOI: https://doi.org/10.1103/gx3d-v5t7
Phys. Rev. D - Accepted 2 November, 2026
DOI: https://doi.org/10.1103/gx3d-v5t7
For fixed Standard Model (SM) non-Abelian representations of 15 chiral fermions with arbitrary hypercharges, anomaly cancellation admits the usual assignment and a distinct nonstandard solution. In the latter, the exotic quark and lepton weak doublets and exotic lepton singlet have zero hypercharge, whereas the two exotic quark singlets carry opposite hypercharges −q and q. The neutral exotic lepton singlets naturally provide heavy neutrinos. With two copies, the minimal model realizes the minimal type-I seesaw, yielding one massless active neutrino, and predicts m_ββ = 1.2–4.1 meV for normal ordering and 15.9–48.9 meV for inverted ordering. In a direct SM realization, generating exotic-quark masses through the SM Higgs mechanism fixes their electric charges to ±1/2. A separate SU(2)_L′ realization of the nonstandard solution can allow exotic-quark masses ranging from several TeV to 10 TeV with order-one Yukawa couplings while all charged exotic particles carry charges ±q. In both cases, the lightest exotic quark and lepton are generically stable, providing distinctive and potentially testable signatures while remaining compatible with current constraints.
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