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Abelian symmetries of the N-Higgs-doublet model with Yukawa interactions · Around

2013

Abelian symmetries of the N-Higgs-doublet model with Yukawa interactions

Ivanov, I. P., Nishi, C. C.

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We investigate finite abelian groups which can represent symmetries of the N-Higgs-doublet models with quarks.

We build a general formalism based on the powerful method of the Smith normal form and obtain an analytic upper bound on the order of abelian symmetry groups for any N.
We investigate in detail the case N=2 and rederive known results in a more compact and intuitive fashion.
We also study the NHDM with the maximal finite abelian symmetry for all small N cases up to N=5, and show that in each case all Yukawa textures compatible with such symmetry originate from a unique basic structure.

Built on

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M. Aoki, S. Kanemura, K. Tsumura and K. Yagyu, “Models of Yukawa interaction in the two Higgs doublet model, and their collider phenomenology,” Phys. Rev. D 80
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Then

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Original

2012

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G. C. Branco, P. M. Ferreira, L. Lavoura, M. N. Rebelo, M. Sher and J. P. Silva, “Theory and phenomenology of two-Higgs-doublet models,” Phys. Rept. 516

2012

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I. de Medeiros Varzielas, “Geometrical CP violation in multi-Higgs models,” JHEP 1208

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See for instance V. A. Solano, J. A. Armario-Sampalo, M. D. Frau-García, and P. Real-Jurado, Mathematica notebook IntegerSmithNormalForm

Cited in the paper.

2013

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I. P. Ivanov, L. Lavoura, “Geometrical CP violation in the N-Higgs-doublet model,” Eur. Phys. J. C 73

2013

Closest in time.