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Modular invariant dynamics and fermion mass hierarchies around τ = i
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Journal Article
Modular invariant dynamics and fermion mass hierarchies around τ = i
2021
Overview
A
bstract
We discuss fermion mass hierarchies within modular invariant flavour models. We analyse the neighbourhood of the self-dual point
τ
=
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
ϵ
≈
τ − i
, that flips its sign under
Z
4
. Degeneracies or vanishing eigenvalues of fermion mass matrices, forced by the
Z
4
symmetry at
τ
=
i
, are removed by slightly deviating from the self-dual point. Relevant mass ratios are controlled by powers of
|ϵ|
. 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 Kähler potential.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
