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Journal Article

When tanß meets all the mixing angles


Saldaña-Salazar,  Ulises J.
Werner Rodejohann - ERC Starting Grant, Junior Research Groups, MPI for Nuclear Physics, Max Planck Society;

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Hernández, A. E. C., Dib, C. O., & Saldaña-Salazar, U. J. (2020). When tanß meets all the mixing angles. Physics Letters B, 809: 135750. doi:10.1016/j.physletb.2020.135750.

Cite as: https://hdl.handle.net/21.11116/0000-0009-0328-7
Models with two-Higgs-doublets and natural flavour conservation contain $\tan
\beta = v_2 / v_1$ as a physical parameter. We offer here a generalization of a
recently proposed idea where only the Cabibbo angle, $\theta_\text{c} \simeq
0.22$, was related to $\tan \beta$ by virtue of the $\mathbb{D}_{4}$ dihedral
symmetry group. The original proposal consisted of a massless first generation
of quarks and no mixing with the third generation. In our case, through the
addition of a third Higgs doublet with a small vacuum-expectation-value but
very large masses, thus later decoupling, all quarks become massive and quark
mixing is fully reproduced. In fact, all quark mixing angles are expressed in
terms of $\tan \beta$ and one recovers trivial mixing in the limit $\beta
\rightarrow 0$. We also explore the consequences in lepton mixing by adopting a
type I seesaw mechanism with three heavy right-handed neutrinos.