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Vacuum stability and perturbativity of SU(3) scalars

  • Matti Heikinheimo
  • Kristjan Kannike
  • Florian Lyonnet
  • Martti Raidal
  • Kimmo Tuominen
  • Hardi Veermäe
Open Access
Regular Article - Theoretical Physics
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Abstract

We calculate the vacuum stability conditions and renormalisation group equations for the extensions of standard model with a higher colour multiplet scalar up to the representation 15′ that leaves the strong interaction asymptotically free. In order to find the vacuum stability conditions, we calculate the orbit spaces for the self-couplings of the higher multiplets, which for the representations 15 and 15′ of SU(3) c are highly complicated. However, if the scalar potential is linear in orbit space variables, it is sufficient to know the convex hull of the orbit space. Knowledge of the orbit spaces also facilitates the minimisation of the potentials. In contrast to the self-couplings of other multiplets, we find that the scalar quartic couplings of the representations 3 and 8 walk rather than run, remaining nearly constant and perturbative over a vast energy range. We describe the conditions for walking couplings using a schematic model. With these technical results at hand we revise earlier results of generation of new scales with large SU(3) c scalar multiplets. Our results are easily extendable to models of new physics with additional SU(3) or SU(N) gauge symmetries.

Keywords

Beyond Standard Model Renormalization Group 
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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.

Supplementary material

13130_2017_6772_MOESM1_ESM.dat (47 kb)
ESM 1 (DAT 47 kb)

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Copyright information

© The Author(s) 2017

Authors and Affiliations

  • Matti Heikinheimo
    • 1
  • Kristjan Kannike
    • 2
  • Florian Lyonnet
    • 3
  • Martti Raidal
    • 2
  • Kimmo Tuominen
    • 1
  • Hardi Veermäe
    • 2
  1. 1.Helsinki Institute of Physics and Department of PhysicsUniversity of HelsinkiHelsinkiFinland
  2. 2.National Institute of Chemical Physics and BiophysicsTallinnEstonia
  3. 3.Department of PhysicsSouthern Methodist UniversityDallasU.S.A.

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