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Gauge-flavon unification
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  • Regular Article - Theoretical Physics
  • Open Access
  • Published: 03 February 2020

Gauge-flavon unification

  • Alfredo Aranda1,2,
  • Francisco J. de Anda3 &
  • Stephen F. King4 

Journal of High Energy Physics volume 2020, Article number: 12 (2020) Cite this article

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A preprint version of the article is available at arXiv.

Abstract

In this paper we propose the idea that flavons can emerge from extra dimensional gauge fields, referred to as gauge-flavon unification (GFU) analogous to gauge-Higgs unification (GHU). We assume that there is a gauged family symmetry in extra dimensions and that the flavons are the extra dimensional components of the gauge field. This provides a simple mechanism to align the VEVs of the flavons through a combination of Wilson lines and orbifold symmetry breaking. We present some simple 5d examples of GFU based on SO(3) and SU(4) gauged family symmetry, the latter case yielding SU(3) × U(1) gauged family symmetry in 4d, broken by triplet and antitriplet flavons, with effective couplings to fermions. We also present a general formalism for Wilson lines and orbifolds, in any number of dimensions, including non-commutative aspects Wilson lines, which may be useful for aligning additional flavons as required for realistic models.

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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited

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Authors and Affiliations

  1. Facultad de Ciencias-CUICBAS, Universidad de Colima, C.P. 28045, 01000, Colima, Mexico

    Alfredo Aranda

  2. Dual CP Institute of High Energy Physics, C.P. 28045, Colima, Mexico

    Alfredo Aranda

  3. Tepatitlán’s Institute for Theoretical Studies, C.P. 47600, Jalisco, Mexico

    Francisco J. de Anda

  4. School of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ, U.K.

    Stephen F. King

Authors
  1. Alfredo Aranda
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  2. Francisco J. de Anda
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  3. Stephen F. King
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Corresponding author

Correspondence to Francisco J. de Anda.

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ArXiv ePrint: 1911.11781

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Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Cite this article

Aranda, A., de Anda, F.J. & King, S.F. Gauge-flavon unification. J. High Energ. Phys. 2020, 12 (2020). https://doi.org/10.1007/JHEP02(2020)012

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  • Received: 04 December 2019

  • Revised: 02 January 2020

  • Accepted: 14 January 2020

  • Published: 03 February 2020

  • DOI: https://doi.org/10.1007/JHEP02(2020)012

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Keywords

  • Field Theories in Higher Dimensions
  • Quark Masses and SM Parameters
  • Beyond Standard Model
  • Gauge Symmetry
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