@Article{Feruglio_etal2021,
author="Feruglio, F.
and Gherardi, V.
and Romanino, A.
and Titov, A.",
title="Modular invariant dynamics and fermion mass hierarchies around tau = i",
journal="Journal of High Energy Physics",
year="2021",
publisher="Springer",
volume="05",
number="5",
pages="242--26pp",
optkeywords="Beyond Standard Model; Neutrino Physics; Supersymmetric Standard Model; Compactification and String Models",
abstract="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.",
optnote="WOS:000738737200001",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5070), last updated on Tue, 11 Jan 2022 10:16:05 +0000",
issn="1029-8479",
doi="10.1007/JHEP05(2021)242",
opturl="https://arxiv.org/abs/2101.08718",
opturl="https://doi.org/10.1007/JHEP05(2021)242",
language="English"
}