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Neutrino Masses, Grand Unification, and Baryon Number Violation
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If grand unification is real, searches for baryon-number violation should be included on the list of observables that may reveal information regarding the origin of neutrino masses. Making use of an effective-operator approach and assuming that nature is SU(5) invariant at very short distances, we estimate the consequences of different scenarios that lead to light Majorana neutrinos for low-energy phenomena that violate baryon number minus lepton number (B-L) by two (or more) units, including neutron-antineutron oscillations and B-L violating nucleon decays. We find that, among all possible effective theories of lepton-number violation that lead to nonzero neutrino masses, only a subset is, broadly speaking, consistent with grand unification.
Forward citations
Cited by 6 Pith papers
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An improved inequality with a correction from Weinberg's F parity gives the minimum operator dimension for each baryon and lepton number combination, and it is shown to be an equality in the νSMEFT up to dimension 25.
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Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators
The two-loop anomalous dimensions for all dimension-six baryon-number-violating LEFT operators are derived in the 't Hooft-Veltman and naive dimensional regularization schemes.
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Non-Renormalizable SU(5) GUTs: Leptoquark-Induced Neutrino Masses
The paper shows that non-renormalizable SU(5) models can host light scalar leptoquarks with suppressed proton decay while explaining neutrino masses and unifying gauge couplings.
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Ultraviolet Completion of a Two-loop Neutrino Mass Model
A new SU(5) grand unified version of the Zee-Babu model predicts TeV-scale colored scalars, a vector-like down quark, and observable proton decay p→e+π0 at Hyper-Kamiokande.
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$n \to K\ell$ and the baryon asymmetry of the universe
In SMEFT, the (B-L)-violating decay n → K⁺ℓ⁻ appears at dimension seven while the conserving n → K⁻ℓ⁺ requires dimension ten and is accompanied by lower-dimensional (B+L)-violating modes, so n → Kℓ without modes like ...
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New Avenues for $|\Delta B|$ = 2 Processes Beyond Neutron-Antineutron Oscillations
Lambda-antilambda oscillations are already bounded far more strongly by Super-Kamiokande's pp→K+K+ limit (δmΛ ≲ 10^-32 GeV) than by BESIII's direct search, making dedicated oscillation searches non-competitive in the ...
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