Fermion masses and flavor mixings and strong CP problem

Y. H. Ahn

doi:10.1016/j.nuclphysb.2019.01.002

paper

Fermion masses and flavor mixings and strong CP problem

arXiv:1802.05044 · doi:10.1016/j.nuclphysb.2019.01.002

Abstract

For all the success of the Standard Model (SM), it is on the verge of being surpassed. In this regard we argue, by showing a minimal flavor-structured model based on the non-Abelian discrete $S L_{2} (F_{3})$ symmetry, that $U (1)$ mixed-gravitational anomaly cancellation could be of central importance in constraining the fermion contents of a new chiral gauge theory. Such anomaly-free condition together with the SM flavor structure demands a condition $k_{1} X_{1} /2 = k_{2} X_{2}$ with $X_{i}$ being a charge of $U (1)_{X_{i}}$ and $k_{i}$ being an integer, both of which are flavor dependent. We show that axionic domain-wall condition $N_{DW}$ with the anomaly free-condition depends on both $U (1)_{X}$ charged quark and lepton flavors; the seesaw scale congruent to the scale of Peccei-Quinn symmetry breakdown can be constrained through constraints coming from astrophysics and particle physics. Then the model extended by $S L_{2} (F_{3}) \times U (1)_{X}$ symmetry can well be flavor-structured in a unique way that $N_{DW} = 1$ with the $U (1)_{X}$ mixed-gravitational anomaly-free condition demands additional Majorana fermion and the flavor puzzles of SM are well delineated by new expansion parameters expressed in terms of $U (1)_{X}$ charges and $U (1)_{X}$ - $[S U (3)_{C}]^{2}$ anomaly coefficients. And the model provides remarkable results on neutrino (hierarchical mass spectra and unmeasurable neutrinoless-double-beta decay rate together with the predictions on atmospheric mixing angle and leptonic Dirac CP phase favored by the recent long-baseline neutrino experiments), QCD axion, and flavored-axion.

Title is changed, Accepted in Nuclear Physics B

Fermion masses and flavor mixings and strong CP problem

Abstract

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