%0 Journal Article
%T Modular invariant dynamics and fermion mass hierarchies around tau = i
%A Feruglio, F.
%A Gherardi, V.
%A Romanino, A.
%A Titov, A.
%J Journal of High Energy Physics
%D 2021
%V 05
%N 5
%I Springer
%@ 1029-8479
%G English
%F Feruglio_etal2021
%O WOS:000738737200001
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5070), last updated on Tue, 11 Jan 2022 10:16:05 +0000
%X 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 approximate to 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 vertical bar epsilon vertical bar. 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 Kahler potential.
%K Beyond Standard Model
%K Neutrino Physics
%K Supersymmetric Standard Model
%K Compactification and String Models
%R 10.1007/JHEP05(2021)242
%U https://arxiv.org/abs/2101.08718
%U https://doi.org/10.1007/JHEP05(2021)242
%P 242-26pp