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Author |
Feruglio, F.; Gherardi, V.; Romanino, A.; Titov, A. |
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Title |
Modular invariant dynamics and fermion mass hierarchies around tau = i |
Type |
Journal Article |
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Year |
2021 |
Publication |
Journal of High Energy Physics |
Abbreviated Journal |
J. High Energy Phys. |
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Volume |
05 |
Issue |
5 |
Pages |
242 - 26pp |
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Keywords |
Beyond Standard Model; Neutrino Physics; Supersymmetric Standard Model; Compactification and String Models |
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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. |
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Address |
[Feruglio, Ferruccio; Titov, Arsenii] Univ Padua, Dipartimento Fis & Astron G Galilei, Via Marzolo 8, I-35131 Padua, Italy, Email: feruglio@pd.infn.it; |
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Publisher |
Springer |
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Language |
English |
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ISSN |
1029-8479 |
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Notes |
WOS:000738737200001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
5070 |
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