Minimal SU(3)×SU(3) symmetry breaking patterns

Bai, Yang; Dobrescu, Bogdan A.

doi:10.1103/PhysRevD.97.055024

Title: Minimal $S U (3) \times S U (3)$ symmetry breaking patterns

Abstract

Here, we study the vacua of an $$SU(3)\times SU(3)$$-symmetric model with a bifundamental scalar. Structures of this type appear in various gauge theories such as the Renormalizable Coloron Model, which is an extension of QCD, or the Trinification extension of the electroweak group. In other contexts, such as chiral symmetry, $$SU(3)\times SU(3)$$ is a global symmetry. As opposed to more general $$SU(N)\times SU(N)$$ symmetric models, the $N=3$ case is special due to the presence of a trilinear scalar term in the potential. We find that the most general tree-level potential has only three types of minima: one that preserves the diagonal $SU(3)$ subgroup, one that is $$SU(2)\times SU(2)\times U(1)$$ symmetric, and a trivial one where the full symmetry remains unbroken. The phase diagram is complicated, with some regions where there is a unique minimum, and other regions where two minima coexist.

Authors:

Bai, Yang ^[1]; Dobrescu, Bogdan A. ^[2]

Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States). Theoretical Physics Dept.

Publication Date:: Fri Mar 16 00:00:00 EDT 2018

Research Org.:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1426512

Alternate Identifier(s):: OSTI ID: 1426671

Report Number(s):: FERMILAB-PUB-17-401-T; arXiv:1710.01456
Journal ID: ISSN 2470-0010; PRVDAQ; 055024

Grant/Contract Number:: SC0017647; AC02-07CH11359

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 97 Journal Issue: 5; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; extensions of gauge sector

Citation Formats


                    Bai, Yang, and Dobrescu, Bogdan A. Minimal SU(3)×SU(3) symmetry breaking patterns.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.97.055024.

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                    Bai, Yang, & Dobrescu, Bogdan A. Minimal SU(3)×SU(3) symmetry breaking patterns.  United States.  https://doi.org/10.1103/PhysRevD.97.055024

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                    Bai, Yang, and Dobrescu, Bogdan A. Fri .  
"Minimal SU(3)×SU(3) symmetry breaking patterns".  United States.  https://doi.org/10.1103/PhysRevD.97.055024.

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@article{osti_1426512,

  title        = {Minimal SU(3)×SU(3) symmetry breaking patterns},

  author       = {Bai, Yang and Dobrescu, Bogdan A.},

  abstractNote = {Here, we study the vacua of an $SU(3)\times SU(3)$-symmetric model with a bifundamental scalar. Structures of this type appear in various gauge theories such as the Renormalizable Coloron Model, which is an extension of QCD, or the Trinification extension of the electroweak group. In other contexts, such as chiral symmetry, $SU(3)\times SU(3)$ is a global symmetry. As opposed to more general $SU(N)\times SU(N)$ symmetric models, the $N=3$ case is special due to the presence of a trilinear scalar term in the potential. We find that the most general tree-level potential has only three types of minima: one that preserves the diagonal $SU(3)$ subgroup, one that is $SU(2)\times SU(2)\times U(1)$ symmetric, and a trivial one where the full symmetry remains unbroken. The phase diagram is complicated, with some regions where there is a unique minimum, and other regions where two minima coexist.},

  doi          = {10.1103/PhysRevD.97.055024},

  journal      = {Physical Review. D.},

  number       = 5,

  volume       = 97,

  place        = {United States},

  year         = {Fri Mar 16 00:00:00 EDT 2018},

  month        = {Fri Mar 16 00:00:00 EDT 2018}

}

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Title: Minimal S U ( 3 ) × S U ( 3 ) symmetry breaking patterns

Abstract

Citation Formats

LHC constraints on a Higgs boson partner from an extended color sector journal, July 2014

A to Z of the muon anomalous magnetic moment in the MSSM with Pati-Salam at the GUT scale journal, June 2016

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Quark-lepton interchangeability at high energy: [ SU ( 3 ) ] 4 quartification journal, March 2004

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Higgsless grand unified theory breaking and trinification journal, October 2004

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Tumbling top-quark condensate model journal, September 1992

Baryon asymmetry in SU(3)3 × Z3 trinification model journal, June 1986

New strong interactions at the Tevatron? journal, July 1996

Dynamical electroweak breaking and latticized extra dimensions journal, October 2001

Chiral color: An alternative to the standard model journal, May 1987

Electroweak Symmetry Breaking via a Top Condensation Seesaw Mechanism journal, September 1998

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Remarks on the chiral phase transition in chromodynamics journal, January 1984

Trinification with sin2θW=3/8 and see-saw neutrino mass journal, July 2004

Diphoton resonances in the renormalizable coloron model journal, August 2016

Minimal trinification journal, February 2006

Erratum: Constraints on the scalar sector of the renormalizable coloron model [Phys. Rev. D 88, 075020 (2013)] journal, March 2014

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Quark masses, mixings, and C P violation from spontaneous breaking of flavor S U ( 3 ) 3 journal, February 2014

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Title: Minimal $S U (3) \times S U (3)$ symmetry breaking patterns

LHC constraints on a Higgs boson partner from an extended color sector
journal, July 2014

A to Z of the muon anomalous magnetic moment in the MSSM with Pati-Salam at the GUT scale
journal, June 2016

Origin of counter-examples to Michel's conjecture
journal, March 1986

Constraints on the scalar sector of the renormalizable coloron model
journal, October 2013

Yukawa hierarchies from spontaneous breaking of the SU(3) L × SU(3) R flavour symmetry?
journal, February 2013

Kink-induced symmetry breaking patterns in brane-world $S U (3)^{3}$ trinification models
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Effective potential at three loops
journal, November 2017

Counter-example to Michel's conjecture
journal, August 1984

Topcolor: top quark condensation in a gauge extension of the standard model
journal, August 1991

One-loop pseudo-Goldstone masses in the minimal $S O (10)$ Higgs model
journal, April 2017

Quark-lepton interchangeability at high energy: $[SU (3)]^{4}$ quartification
journal, March 2004

Restrictions on symmetry breaking in vector-like gauge theories
journal, March 1984

Higgsless grand unified theory breaking and trinification
journal, October 2004

Triplicated trinification
journal, May 2003

Coloron phenomenology
journal, February 1997

Tumbling top-quark condensate model
journal, September 1992

Baryon asymmetry in SU(3)3 × Z3 trinification model
journal, June 1986

New strong interactions at the Tevatron?
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Dynamical electroweak breaking and latticized extra dimensions
journal, October 2001

Chiral color: An alternative to the standard model
journal, May 1987

Electroweak Symmetry Breaking via a Top Condensation Seesaw Mechanism
journal, September 1998

Reviving trinification models through an $E_{6}$ -extended supersymmetric GUT
journal, April 2017

Remarks on the chiral phase transition in chromodynamics
journal, January 1984

Trinification with sin2θW=3/8 and see-saw neutrino mass
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Diphoton resonances in the renormalizable coloron model
journal, August 2016

Minimal trinification
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Erratum: Constraints on the scalar sector of the renormalizable coloron model [Phys. Rev. D 88, 075020 (2013)]
journal, March 2014

Totally asymptotically free trinification
journal, August 2015

Vacuum stability and triviality analyses of the renormalizable coloron model
journal, September 2015

Vevacious: a tool for finding the global minima of one-loop effective potentials with many scalars
journal, October 2013

Heavy octets and Tevatron signals with three or four b jets
journal, July 2011

Quark masses, mixings, and $C P$ violation from spontaneous breaking of flavor $S U (3)^{3}$
journal, February 2014

Subgroup alignment in hypercolor theories
journal, January 1981

Low-energy phenomenology of trinification: An effective left-right-symmetric model
journal, March 2015

Naturally large Yukawa hierarchies
journal, August 2011

Group theory for unified model building
journal, December 1981

Suppressing flavor anarchy
journal, September 2000

Trinification phenomenology and the structure of Higgs bosons
journal, August 2014

Unification and local baryon number
journal, May 2017

Axigluon production in hadronic collisions
journal, March 1988

Heavy gluons and monojets
journal, April 1985

General method for analyzing Higgs potentials
journal, March 1982

Group theory of the spontaneously broken gauge symmetries
journal, March 1974

Neutrino masses and proton decay modes in SU(3)×SU(3)×SU(3) trinification
journal, February 1986

Collider constraints and new tests of color octet vectors
journal, September 2017

Five-dimensional trinification improved
journal, October 2005

Top quark seesaw theory of electroweak symmetry breaking
journal, March 1999