Realistic GUT Yukawa Couplings from a Random Clockwork Model

Gero von Gersdorff

Realistic GUT Yukawa Couplings from a Random Clockwork Model

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arxiv 2005.14207 v1 pith:54XW7BJZ submitted 2020-05-28 hep-ph

Gero von Gersdorff This is my paper · ORCID

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keywords clockworkcouplingsmodelsorderrandomrealisticyukawaaccommodate

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We present realistic models of flavor in SU(5) and SO(10) grand unified theories (GUTs). The models are renormalizable and do not require any exotic representations in order to accommodate the necessary GUT breaking effects in the Yukawa couplings. They are based on a simple clockwork Lagrangian whose structure is enforced with just two (one) vectorlike U(1) symmetries in the case of SU(5) and SO(10) respectively. The inter-generational hierarchies arise spontaneously from products of matrices with order one random entries.

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Inequalities for Standard Model Yukawa Couplings
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The paper proves rigorous, basis-independent inequalities on combinations of Standard Model Yukawa matrix entries that follow from the observed hierarchical fermion masses and CKM angles.

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