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Title: Doubly Lopsided Models From SUSY SU(N)

Abstract

It is shown that the doubly lopsided mass matrices, which are known to give realistic patterns of quark and lepton masses and mixings, arise naturally in the context of supersymmetric grand unified models based on SU(N) with N>5. An SU(7) model is presented as an illustration.

Authors:
 [1]
  1. Bartol Research Institute and Department of Physics and Astronomy University of Delaware, Newark, DE 19716 (United States)
Publication Date:
OSTI Identifier:
21255072
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1078; Journal Issue: 1; Conference: SUSY08: 16. international conference on supersymmetry and the unification of fundamental interactions, Seoul (Korea, Republic of), 16-21 Jun 2008; Other Information: DOI: 10.1063/1.3051980; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GRAND UNIFIED THEORY; LEPTONS; MASS; PARTICLE DECAY; QUARKS; SU GROUPS; SU-7 GROUPS; SUPERSYMMETRY

Citation Formats

Barr, S. M. Doubly Lopsided Models From SUSY SU(N). United States: N. p., 2008. Web. doi:10.1063/1.3051980.
Barr, S. M. Doubly Lopsided Models From SUSY SU(N). United States. doi:10.1063/1.3051980.
Barr, S. M. Sun . "Doubly Lopsided Models From SUSY SU(N)". United States. doi:10.1063/1.3051980.
@article{osti_21255072,
title = {Doubly Lopsided Models From SUSY SU(N)},
author = {Barr, S. M.},
abstractNote = {It is shown that the doubly lopsided mass matrices, which are known to give realistic patterns of quark and lepton masses and mixings, arise naturally in the context of supersymmetric grand unified models based on SU(N) with N>5. An SU(7) model is presented as an illustration.},
doi = {10.1063/1.3051980},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1078,
place = {United States},
year = {Sun Nov 23 00:00:00 EST 2008},
month = {Sun Nov 23 00:00:00 EST 2008}
}
  • It is shown that in supersymmetric SU(N) models with N>5 the so-called 'doubly lopsided' mass matrix structure can emerge in a natural way. The nontrivial flavor structure is entirely accounted for by the SU(N) gauge symmetry and supersymmetry, without any 'flavor symmetry'. The hierarchy among the families results directly from a hierarchy of scales in the chain of breaking from SU(N) to the standard model group. A simple SU(7) example is presented.
  • It is shown that the stratified or 'doubly lopsided' mass matrix structure that is known to reproduce well the qualitative features of the quark and lepton masses and mixings can arise quite naturally in the context of grand unification based on the groups SU(N) with N>5. An SU(8) example is constructed with the minimal anomaly free, three-family set of fermions, in which a realistic flavor structure results without flavor symmetry.
  • I consider N = 1 supersymmetric SU(N{sub c}) gauge theories with matter fields consisting of one antisymmetric representation, five flavors, and enough antifundamental representations to cancel the gauge anomaly. Previous analyses are extended to the case of even N{sub c} with no superpotential. Using holomorphy I show that the theory has an interacting infrared fixed point for sufficiently large N{sub c}. These theories are interesting due to the fact that in going from five to four flavors the theory goes from a non-trivial infrared fixed point to confinement, in contradistinction to SUSY QCD, but in analogy to the behavior expectedmore » in non-SUSY QCD.« less
  • A comparative study of two predictive SO(10) models, namely, the BPW model (proposed by Babu, Pati and Wilczek) and the AB model (proposed by Albright and Barr) is done based on their predictions regarding CP and flavor violations. There is a significant difference in the structure of the fermion mass matrices in the two models (which are hierarchical for the BPW case and lopsided for the AB model) which gives rise to different CP and flavor violating effects. We include both standard model (SM) and supersymmetric (SUSY) contributions to these processes. Assuming flavor universality of SUSY-breaking parameters at a messengermore » scale M* > or approx. M{sub GUT}, it has been shown that renormalization group based post-GUT (grand unified theory) physics gives rise to large CP and flavor violations. While these effects were calculated for the BPW model recently, this is the first time (to our knowledge) that post-GUT contributions have been included for the AB model. The values of {delta}m{sub K}, {epsilon}{sub K}, {delta}m{sub B{sub d}} and S(B{sub d}{yields}J/{psi}K{sub S}) are found, in both models, to be close to SM predictions, in good agreement with data. Both models predict that S(B{sub d}{yields}{phi}K{sub S}) should lie in the range +0.65-0.74, close to the SM prediction and that the electric dipole moment (EDM) of the neutron {approx_equal}(fewx10{sup -26})e-cm, which should be observed in upcoming experiments. The lepton sector brings out marked differences between the two models. It is found that Br({mu}{yields}e{gamma}) in the AB model is generically much larger than that in the BPW model, being consistent with the experimental limit only with a rather heavy SUSY spectrum with (m{sub o},m{sub 1/2}){approx}(1000,1000) GeV. The BPW model, on the other hand, is consistent with the SUSY spectrum being as light as (m{sub o},m{sub 1/2}){approx}(600,300) GeV. Another distinction arises in the prediction for the EDM of the electron. In the AB model d{sub e} should lie in the range 10{sup -27}-10{sup -28}e-cm, and should be observed by forthcoming experiments. The BPW model gives d{sub e} to be typically 100 times lower than that in the AB case. Thus the two models can be distinguished based on their predictions regarding CP and flavor violating processes, and can be tested in future experiments.« less
  • The scalar sector of the simplest version of the 3-3-1 electroweak model is constructed with three Higgs triplets only. We show that a relation involving two of the constants of the model, two vacuum expectation values of the neutral scalars, and the mass of the doubly charged Higgs boson leads to important information concerning the signals of this scalar particle.