Anomaly free Froggatt-Nielsen models of flavor

Smolkovič, Aleks; Tammaro, Michele; Zupan, Jure

doi:10.1007/JHEP10(2019)188

Anomaly free Froggatt-Nielsen models of flavor

Journal Article · Thu Oct 17 00:00:00 EDT 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP10(2019)188· OSTI ID:1593764

^[1]; Tammaro, Michele ^[2]; Zupan, Jure ^[2]

Jozef Stefan Inst. (IJS), Ljubljana (Slovenia); U. Cincinnati
Univ. of Cincinnati, OH (United States)

We introduce two anomaly free versions of Froggatt-Nielsen (FN) models, based on either $$G_{\rm FN}=U(1)^3$$ or $$G_{\rm FN}=U(1)$$ horizontal symmetries, that generate the SM quark and lepton flavor structures. The structure of these ``inverted'' FN models is motivated by the clockwork mechanism: the chiral fields, singlets under $$G_{\rm FN}$$, are supplemented by chains of vector-like fermions charged under $$G_{\rm FN}$$. Unlike the traditional FN models the hierarchy of quark and lepton masses is obtained as an expansion in $$M/\langle \phi\rangle$$, where $$M$$ is the typical vector-like fermion mass, and $$\langle \phi\rangle$$ the flavon vacuum expectation value. The models can be searched for through deviations in flavor observables such as $$K-\bar K$$ mixing, $$\mu\to e$$ conversion, etc., where the present bounds restrict the masses of vector-like fermions to be above $${\mathcal O}(10^7~{\rm GeV})$$. If $$G_{\rm FN}$$ is gauged, the models can also be probed by searching for the flavorful $Z'$ gauge bosons. In principle, the $Z'$s can be very light, and can be searched for using precision flavor, astrophysics, and beam dump experiments.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Cincinnati, OH (United States)

Sponsoring Organization:: Slovenian Research Agency; USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0011784

OSTI ID:: 1593764

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2019; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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