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

Publication Date:
Sponsoring Org.:
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Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 91; Journal Issue: 3; Journal ID: ISSN 1550-7998
American Physical Society
Country of Publication:
United States

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. 2015. "Accidental symmetries and massless quarks in the economical 3-3-1 model". United States. doi:10.1103/PhysRevD.91.037302.
title = {Accidental symmetries and massless quarks in the economical 3-3-1 model},
author = {Montero, J. C. and Sánchez–Vega, B. L.},
abstractNote = {},
doi = {10.1103/PhysRevD.91.037302},
journal = {Physical Review D},
number = 3,
volume = 91,
place = {United States},
year = 2015,
month = 2

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.91.037302

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Cited by: 2works
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  • 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 masslessmore » quarks. Hence, these results imply that the economical 3-3-1 model is not a realistic description of the electroweak interaction.« less
  • We present a detailed study of a linear sigma model containing one chiral nonet transforming under U(1){sub A} as a quark-antiquark composite and another chiral nonet transforming as a diquark-antidiquark composite (or, equivalently from a symmetry point of view, as a two meson molecule). The model provides an intuitive explanation of a current puzzle in low energy QCD: Recent work has suggested the existence of a lighter than 1 GeV nonet of scalar mesons which behave like four quark composites. On the other hand, the validity of a spontaneously broken chiral symmetric description would suggest that these states be chiralmore » partners of the light pseudoscalar mesons, which are two quark composites. The model solves the problem by starting with the two chiral nonets mentioned and allowing them to mix with each other. The input of physical masses in the SU(3) invariant limit for two scalar octets and an excited pion octet results in a mixing pattern wherein the light scalars have a large four quark content while the light pseudoscalars have a large two quark content. One light isosinglet scalar is exceptionally light. In addition, the pion pion scattering is also studied and the current algebra theorem is verified for massless pions which contain some four quark admixture.« less