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Title: Accidental symmetries and massless quarks in the economical 3-3-1 model

Abstract

In the framework of a 3-3-1 model with a minimal scalar sector, known as the economical 3-3-1 model, we study its capabilities of generating realistic quark masses. After a detailed study of the symmetries of the model, before and after the spontaneous symmetry breaking, we find a remaining axial symmetry that prevents some quarks from gaining mass at all orders in perturbation theory. Since this accidental symmetry is anomalous, we also consider briefly the possibility of generating their masses for nonperturbative effects. However, we find that nonperturbative effects are not enough to generate the measured masses for the three massless quarks. Hence, these results imply that the economical 3-3-1 model is not a realistic description of the electroweak interaction.

Authors:
;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science - Office of High Energy Physics
OSTI Identifier:
1391770
DOE Contract Number:  
AC02-06CH11357
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 91; Journal Issue: 3; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English

Citation Formats

Montero, J. C., and Sánchez–Vega, B. L. Accidental symmetries and massless quarks in the economical 3-3-1 model. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.91.037302.
Montero, J. C., & Sánchez–Vega, B. L. Accidental symmetries and massless quarks in the economical 3-3-1 model. United States. doi:10.1103/PhysRevD.91.037302.
Montero, J. C., and Sánchez–Vega, B. L. Sun . "Accidental symmetries and massless quarks in the economical 3-3-1 model". United States. doi:10.1103/PhysRevD.91.037302.
@article{osti_1391770,
title = {Accidental symmetries and massless quarks in the economical 3-3-1 model},
author = {Montero, J. C. and Sánchez–Vega, B. L.},
abstractNote = {In the framework of a 3-3-1 model with a minimal scalar sector, known as the economical 3-3-1 model, we study its capabilities of generating realistic quark masses. After a detailed study of the symmetries of the model, before and after the spontaneous symmetry breaking, we find a remaining axial symmetry that prevents some quarks from gaining mass at all orders in perturbation theory. Since this accidental symmetry is anomalous, we also consider briefly the possibility of generating their masses for nonperturbative effects. However, we find that nonperturbative effects are not enough to generate the measured masses for the three massless quarks. Hence, these results imply that the economical 3-3-1 model is not a realistic description of the electroweak interaction.},
doi = {10.1103/PhysRevD.91.037302},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {1550-7998},
number = 3,
volume = 91,
place = {United States},
year = {2015},
month = {2}
}

Works referenced in this record:

Symmetry Breaking through Bell-Jackiw Anomalies
journal, July 1976


Axions and the strong C P problem
journal, March 2010


Broken Symmetries
journal, August 1962

  • Goldstone, Jeffrey; Salam, Abdus; Weinberg, Steven
  • Physical Review, Vol. 127, Issue 3
  • DOI: 10.1103/PhysRev.127.965

Chiral dilepton model and the flavor question
journal, November 1992


Natural Peccei-Quinn symmetry in the 3-3-1 model with a minimal scalar sector
journal, September 2011


Question of Peccei-Quinn symmetry and quark masses in the economical 3-3-1 model
journal, August 2012


SU(3 ) L ⊗U(1 ) N and SU(4 ) L ⊗U(1 ) N gauge models with right-handed neutrinos
journal, July 1994


Quark masses
journal, July 1982


Mass Renormalization by Instantons and the Strong CP Problem
journal, August 1988


SU(3)⊗U(1) model for electroweak interactions
journal, July 1992


Lepton masses in an SU ( 3 ) L U ( 1 ) N gauge model
journal, May 1993


Neutral currents and Glashow-Iliopoulos-Maiani mechanism in SU ( 3 ) L U ( 1 ) N models for electroweak interactions
journal, April 1993


Minimal scalar sector of 3-3-1 models without exotic electric charges
journal, April 2003