A bottom-up approach to fermion mass hierarchy: a case with vector-like fermions

Abstract We propose a bottom-up approach in which a structure of high-energy physics is explored by accumulating existence proofs and/or no-go theorems in the standard model or its extension. As an illustration, we study fermion mass hierarchies based on an extension of the standard model with vecto...

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Bibliographic Details
Published in:Progress of theoretical and experimental physics 2020-04, Vol.2020 (4)
Main Author: Kawamura, Yoshiharu
Format: Article
Language:English
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Summary:Abstract We propose a bottom-up approach in which a structure of high-energy physics is explored by accumulating existence proofs and/or no-go theorems in the standard model or its extension. As an illustration, we study fermion mass hierarchies based on an extension of the standard model with vector-like fermions. It is shown that the magnitude of elements of Yukawa coupling matrices can become $O(1)$ and a Yukawa coupling unification can be realized in a theory beyond the extended model, if vector-like fermions mix with three families. In this case, small Yukawa couplings in the standard model can be highly sensitive to a small variation of matrix elements, and it seems that the mass hierarchy occurs as a result of fine tuning.
ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptaa046