6533b857fe1ef96bd12b4442
RESEARCH PRODUCT
Modular invariant dynamics and fermion mass hierarchies around τ = i
Valerio GherardiAndrea RomaninoAndrea RomaninoA. V. TitovA. V. TitovFerruccio Ferugliosubject
High Energy Physics - TheoryPhysicsNuclear and High Energy PhysicsSupersymmetric Standard Model010308 nuclear & particles physicsSpectrum (functional analysis)Compactification and String ModelsFermionQC770-798Invariant (physics)01 natural sciencesSymmetry (physics)High Energy Physics - PhenomenologyNuclear and particle physics. Atomic energy. Radioactivity0103 physical sciencesBeyond Standard ModelNeutrino Physics010306 general physicsEigenvalues and eigenvectorsLeptonMinimal Supersymmetric Standard ModelMathematical physicsSign (mathematics)description
We discuss fermion mass hierarchies within modular invariant flavour models. We analyse the neighbourhood of the self-dual point $\tau=i$, where modular invariant theories possess a residual $Z_4$ invariance. In this region the breaking of $Z_4$ can be fully described by the spurion $\epsilon \approx \tau - i$, that flips its sign under $Z_4$. Degeneracies or vanishing eigenvalues of fermion mass matrices, forced by the $Z_4$ symmetry at $\tau=i$, are removed by slightly deviating from the self-dual point. Relevant mass ratios are controlled by powers of $|\epsilon|$. We present examples where this mechanism is a key ingredient to successfully implement an hierarchical spectrum in the lepton sector, even in the presence of a non-minimal K\"ahler potential.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-05-01 | Journal of High Energy Physics |