Neutrino Masses, Grand Unification, and Baryon Number Violation

Abstract

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.

12 pages, 1 figure. Improved discussion, references added, results unchanged

References in corpus (4)

• A Survey of Lepton Number Violation Via Effective Operators
• Origin of neutrino masses at the LHC: Delta L = 2 effective operators and their ultraviolet completions
• Criteria for Natural Hierarchies
• Observable Neutron-Anti-Neutron Oscillation, Baryogenesis and High Scale Seesaw

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• The Singly-Charged Scalar Singlet as the Origin of Neutrino Masses
• Theoretical Analysis of Antineutron-Nucleus Data needed for Antineutron Mirrors in Neutron-Antineutron Oscillation Experiments
• Determining Majorana Nature of Neutrino from Nucleon Decays and n-nbar oscillations
• Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators
• Neutrino masses from new Weinberg-like operators: Phenomenology of TeV scalar multiplets
• Invisible neutron decay and light BSM particles
• Revisiting the connection of baryon number, lepton number, and operator dimension
• Neutrino Mass Induced $n$-$\overline{n}$ Oscillation
• Representation of fermions in the Pati-Salam model
• Search for the baryon number and lepton number violating decays ${\tau }^{-}\to \Lambda {\pi }^{-}$ and ${\tau }^{-}\to \bar{\Lambda }{\pi }^{-}$ at Belle II