One-loop threshold corrections in the minimal U(1)_{L_mu-L_tau} seesaw model break the tree-level two-zero minor structure, relaxing the lower bound on total neutrino mass and easing cosmological tension.
Minimal Gauged U(1)$_{L_\alpha - L_\beta}$ Models Driven into a Corner
6 Pith papers cite this work. Polarity classification is still indexing.
6
Pith papers citing it
abstract
It is well known that the differences between the lepton numbers can be gauged with the Standard Model matter content. Such extended gauge theories, dubbed as the gauged U(1)$_{L_\alpha - L_\beta}$ models, have been widely discussed so far as potential candidates for physics beyond the Standard Model. In this work, we study the minimal versions of these gauge theories, where three right-handed neutrinos as well as a single U(1)$_{L_\alpha - L_\beta}$ symmetry breaking Higgs field---an SU(2)$_L$ singlet or doublet---are introduced. In these minimal models, the neutrino mass terms are constrained by the gauge symmetry, which result in the two-zero texture or two-zero minor structure of neutrino mass matrices. Such restrictive forms of neutrino mass matrices lead to non-trivial predictions for the neutrino oscillation parameters as well as the size of the mass eigenvalues. We find that due to this restriction the minimal gauged U(1)$_{L_\alpha - L_\beta}$ models are either incompatible with the observed values of the neutrino parameters or in strong tension with the Planck 2018 limit on the sum of the neutrino masses. Only the U(1)$_{L_\mu-L_\tau}$ model with an SU(2)$_L$ singlet U(1)$_{L_\mu-L_\tau}$-breaking field barely evades the limit, which can be tested in the future neutrino experiments.
citation-role summary
background 2
citation-polarity summary
fields
hep-ph 6roles
background 2polarities
background 2representative citing papers
With CMB+BAO mass-sum bounds only A1/A2 two-zero textures survive; viable one-zero textures (via flow matching) predict distinct Σmi, ⟨mee⟩, and δCP patterns, realizable by non-invertible selection rules.
For Lμ-Lτ gauge forces with g ≳ 10^{-18}, Schwinger neutrino production in neutron stars alters composition, invalidates merger constraints at g ≳ 10^{-17}, and could yield detectable ~100 MeV neutrino fluxes from young stars at ~100 pc.
Future muon colliders can probe Kaluza-Klein excitations of a 5D U(1)_{Lμ-Lτ} gauge boson across MeV to TeV masses with couplings down to 10^{-5}.
In a U(1) gauged seesaw model, Z'Z' fusion processes at muon colliders enable HNL pair production via Z'Z'→H→NN and Z'Z'→NN, yielding LNV signals not suppressed by Higgs mixing.
Five-dimensional U(1)_{Lμ-Lτ} model predicts multiple gauge bosons whose contributions to elastic neutrino-electron scattering can be probed at DUNE, covering much of the muon (g-2) consistent parameter space.
citing papers explorer
-
Radiative Breaking of Two-Zero Neutrino Mass Minors: Revisiting the $\mathrm{U}(1)_{L_\mu-L_\tau}$ Model
One-loop threshold corrections in the minimal U(1)_{L_mu-L_tau} seesaw model break the tree-level two-zero minor structure, relaxing the lower bound on total neutrino mass and easing cosmological tension.
-
Revisiting One-Zero and Two-Zero Neutrino Mass Textures in Light of Recent Oscillation and Cosmological Data
With CMB+BAO mass-sum bounds only A1/A2 two-zero textures survive; viable one-zero textures (via flow matching) predict distinct Σmi, ⟨mee⟩, and δCP patterns, realizable by non-invertible selection rules.
-
New Gauge Forces, Neutron Stars and Schwinger Neutrino Production
For Lμ-Lτ gauge forces with g ≳ 10^{-18}, Schwinger neutrino production in neutron stars alters composition, invalidates merger constraints at g ≳ 10^{-17}, and could yield detectable ~100 MeV neutrino fluxes from young stars at ~100 pc.
-
Aspects of a Five-Dimensional $U(1)_{L_\mu - L_\tau}$ Model at Future Muon-Based Colliders
Future muon colliders can probe Kaluza-Klein excitations of a 5D U(1)_{Lμ-Lτ} gauge boson across MeV to TeV masses with couplings down to 10^{-5}.
-
New Avenues of Heavy Neutral Lepton at Muon Collider
In a U(1) gauged seesaw model, Z'Z' fusion processes at muon colliders enable HNL pair production via Z'Z'→H→NN and Z'Z'→NN, yielding LNV signals not suppressed by Higgs mixing.
-
Prospects of five-dimensional $L_\mu-L_\tau$ gauge interactions in the light of elastic neutrino-electron scatterings: The scope of the DUNE near detector
Five-dimensional U(1)_{Lμ-Lτ} model predicts multiple gauge bosons whose contributions to elastic neutrino-electron scattering can be probed at DUNE, covering much of the muon (g-2) consistent parameter space.