Chiral Froggatt-Nielsen models, gauge anomalies and flavourful axions
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Received: November 5, 2019 Accepted: January 19, 2020 Published: January 30, 2020
Q. Bonnefoy,a,b E. Dudasb and S. Pokorskic a
DESY, Notkestrasse 85, 22607 Hamburg, Germany b ´ Centre de Physique Th´eorique, CNRS, Ecole Polytechnique, IP Paris, 91128 Palaiseau, France c Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, ul. Pasteura 5, PL-02-093 Warsaw, Poland
E-mail: [email protected], [email protected], [email protected] Abstract: We study UV-complete Froggatt-Nielsen-like models for the generation of mass and mixing hierarchies, assuming that the integrated heavy fields are chiral with respect to an abelian Froggatt-Nielsen symmetry. It modifies the mixed anomalies with respect to the Standard Model gauge group, which opens up the possibility to gauge the Froggatt-Nielsen symmetry without the need to introduce additional spectator fermions, while keeping mass matrices usually associated to anomalous flavour symmetries. We give specific examples where this happens, and we study the flavourful axion which arises from an accidental Peccei-Quinn symmetry in some of those models. Such an axion is typically more coupled to matter than in models with spectator fermions. Keywords: Anomalies in Field and String Theories, Beyond Standard Model, CP violation ArXiv ePrint: 1909.05336
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP01(2020)191
JHEP01(2020)191
Chiral Froggatt-Nielsen models, gauge anomalies and flavourful axions
Contents 1 Introduction
1
2 Motivation 2.1 Yukawa matrices and Froggatt-Nielsen models 2.2 Gauged U(1)FN and anomaly cancellation
3 3 4 5 7 9 11 13 17 18
4 Conclusion
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A All possible superpotential terms
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B Anomalies and unification
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C Minimal vector-like models
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1
Introduction
As efficient as the Standard Model (SM) may be to describe particle physics phenomenology, it still has unsatisfactory features. Among those, the unexplained hierarchies in masses and mixings between elementary particles has motivated intense theoretical work, leading to precise BSM scenarii. The latter deal with the flavour hierarchies, as well as with the several discrepancies with the SM predictions in magnetic dipole moments or heavy meson decays, while abiding by the conclusions of precision tests of the SM. Many flavour models for the mass hierarchies involve additional symmetries, whose nature and origin are diverse. In particular, Froggatt-Nielsen (FN) models [1] (see also [2–4] and references therein) are leading candidates to account for the flavour hierarchies. They rely on an extended scalar and fermionic heavy sector and on an additional spontaneously broken symmetry. Their study has recently been revived by the focus on flavourful axions which arise in FN-like setups [5–9] (see also [10–30] for other studies of flavourful axions) and whose EFT is very much constrained by flavour physics [31–33]. Such flavourful axions can also be linked with dark matter studies [34].
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