Abstract
We construct a flavor model in an anti-SU(5) grand unified theory with a tetrahedral symmetry A4. We choose a basis where Qem=-13 quarks and charged leptons are already mass eigenstates. This choice is possible from the A4 symmetry. Then, matter representation 10-1matter contains both a quark doublet and a heavy neutrino N, which enables us to use the A4 symmetry to both Qem=+23 quark masses and neutrino masses (through the see saw via N). This is made possible because the anti-SU(5) breaking is achieved by the Higgs fields transforming as antisymmetric representations of SU(5), 10-1H 10+1H, reducing the rank-5 anti-SU(5) group down to the rank-4 standard model group SU(3)C×SU(2)W×U(1)Y. For possible mass matrices, the A4 symmetry predictions on mass matrices at field theory level are derived. Finally, an illustration from string compactification is presented.
| Original language | English |
|---|---|
| Article number | 055022 |
| Journal | Physical Review D |
| Volume | 101 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 Mar 2020 |
Bibliographical note
Publisher Copyright:© 2020 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/" Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP.