Anomalous Flavor U(1)_X for Everything

Abstract

We present an ambitious model of flavor, based on an anomalous U(1)_X gauge symmetry with one flavon, only two right-handed neutrinos and only two mass scales: M_{grav} and m_{3/2}. In particular, there are no new scales introduced for right-handed neutrino masses. The X-charges of the matter fields are such that R-parity is conserved exactly, higher-dimensional operators are sufficiently suppressed to guarantee a proton lifetime in agreement with experiment, and the phenomenology is viable for quarks, charged leptons, as well as neutrinos. In our model one of the three light neutrinos automatically is massless. The price we have to pay for this very successful model are highly fractional X-charges which can likely be improved with less restrictive phenomenological ansatze for mass matrices.

Final version, 59 pages, 1 figure. Compared to v1, there is 1) an added discussion on subtleties with Kaehler canonicalization, 2) figure improved for printing, 3) references added, 4) correction on treatment of seesaw with masses generated by the Giudice-Masiero mechanism, 5) other minor corrections