One-parameter modular models predict exact high-scale mass relations m_s^5 = 2√2 m_d^3 m_b^2, m_μ^3 = √2 m_e m_τ^2 and m_s^2 m_τ = √2 m_e m_b^2 that become compatible with observed fermion masses after RG evolution and SUSY thresholds.
Running Neutrino Mass Parameters in See-Saw Scenarios
8 Pith papers cite this work, alongside 351 external citations. Polarity classification is still indexing.
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external citations · Pith
abstract
We systematically analyze quantum corrections in see-saw scenarios, including effects from above the see-saw scales. We derive approximate renormalization group equations for neutrino masses, lepton mixings and CP phases, yielding an analytic understanding and a simple estimate of the size of the effects. Even for hierarchical masses, they often exceed the precision of future experiments. Furthermore, we provide a software package allowing for a convenient numerical renormalization group analysis, with heavy singlets being integrated out successively at their mass thresholds. We also discuss applications to model building and related topics.
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AMBer applies reinforcement learning with physics feedback to automate construction of neutrino flavor models that minimize free parameters, validated on known cases and extended to a new symmetry group.
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.
One-loop corrections in minimal SO(10) GUTs cause 30-40% shifts in neutrino observables from tree-level fits, requiring their inclusion for reliable parameter space exploration.
Combining DUNE-ND, JUNO-TAO, and FASERν2 data can disentangle multiple model-independent RG running parameters of neutrino mixing and resolve degeneracies.
High-energy astrophysical neutrinos can constrain the running of neutrino mixing parameters with energy, with future multi-detector setups forecast to set strong bounds despite astrophysical uncertainties.
Corrected reality conditions on the 10 and 120 Higgs representations in minimal SO(10) allow the Yukawa sector to fit all fermion masses and mixings while predicting a hierarchical right-handed neutrino spectrum and proton decay modes testable in upcoming experiments.
In a two-brane model, brane asymmetry produces different fermion masses, allowing superheavy leptons on the second brane to act as dark matter without fine-tuning.
citing papers explorer
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Fermion mass relations in one-parameter modular models
One-parameter modular models predict exact high-scale mass relations m_s^5 = 2√2 m_d^3 m_b^2, m_μ^3 = √2 m_e m_τ^2 and m_s^2 m_τ = √2 m_e m_b^2 that become compatible with observed fermion masses after RG evolution and SUSY thresholds.
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Towards AI-assisted Neutrino Flavor Theory Design
AMBer applies reinforcement learning with physics feedback to automate construction of neutrino flavor models that minimize free parameters, validated on known cases and extended to a new symmetry group.
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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.
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Towards Precision Neutrino Fits in GUTs: Relevance of One-Loop Finite Corrections
One-loop corrections in minimal SO(10) GUTs cause 30-40% shifts in neutrino observables from tree-level fits, requiring their inclusion for reliable parameter space exploration.
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RG Running of Multiple Neutrino Mixing Parameters at Oscillation Experiments
Combining DUNE-ND, JUNO-TAO, and FASERν2 data can disentangle multiple model-independent RG running parameters of neutrino mixing and resolve degeneracies.
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Astrophysical bounds on the high-energy evolution of neutrino mixing
High-energy astrophysical neutrinos can constrain the running of neutrino mixing parameters with energy, with future multi-detector setups forecast to set strong bounds despite astrophysical uncertainties.
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Reality-constrained Minimal Yukawa Structure in SO(10) GUT
Corrected reality conditions on the 10 and 120 Higgs representations in minimal SO(10) allow the Yukawa sector to fit all fermion masses and mixings while predicting a hierarchical right-handed neutrino spectrum and proton decay modes testable in upcoming experiments.
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Formation of Asymmetrical Two-Brane Structure and its Possible Manifestation
In a two-brane model, brane asymmetry produces different fermion masses, allowing superheavy leptons on the second brane to act as dark matter without fine-tuning.