Vacuum stability and perturbativity of SU(3) scalars

Heikinheimo, Matti; Kannike, Kristjan; Lyonnet, Florian; Raidal, Martti; Tuominen, Kimmo; Veermäe, Hardi

doi:10.1007/jhep10(2017)014

Title: Vacuum stability and perturbativity of SU(3) scalars

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.

Authors:

Heikinheimo, Matti ^[1]; Kannike, Kristjan ^[2]; Lyonnet, Florian ^[3]; Raidal, Martti ^[2]; Tuominen, Kimmo ^[1]; Veermäe, Hardi ^[2]

Univ. of Helsinki (Finland). Helsinki Inst. of Physics. Dept. of Physics
National Inst. of Chemical Physics and Biophysics, Tallinn (Estonia)
Southern Methodist Univ., Dallas, TX (United States). Dept. of Physics

Publication Date:: 2017-10-03

Research Org.:: Southern Methodist Univ., Dallas, TX (United States); National Inst. of Chemical Physics and Biophysics, Tallinn (Estonia); Univ. of Helsinki (Finland)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); Estonian Research Council; Estonian Ministry of Education and Research; Academy of Finland; European Regional Development Fund (ERDF)

OSTI Identifier:: 1501929

Grant/Contract Number:: SC0010129; PUT799; IUT23-6; 267842; TK133

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 10; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Beyond Standard Model; renormalization group

Citation Formats


                    Heikinheimo, Matti, Kannike, Kristjan, Lyonnet, Florian, Raidal, Martti, Tuominen, Kimmo, and Veermäe, Hardi. Vacuum stability and perturbativity of SU(3) scalars.  United States: N. p., 2017. 
Web.  doi:10.1007/jhep10(2017)014.

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                    Heikinheimo, Matti, Kannike, Kristjan, Lyonnet, Florian, Raidal, Martti, Tuominen, Kimmo, & Veermäe, Hardi. Vacuum stability and perturbativity of SU(3) scalars.  United States.  https://doi.org/10.1007/jhep10(2017)014

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                    Heikinheimo, Matti, Kannike, Kristjan, Lyonnet, Florian, Raidal, Martti, Tuominen, Kimmo, and Veermäe, Hardi. Tue .  
"Vacuum stability and perturbativity of SU(3) scalars".  United States.  https://doi.org/10.1007/jhep10(2017)014.  https://www.osti.gov/servlets/purl/1501929.

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@article{osti_1501929,

  title        = {Vacuum stability and perturbativity of SU(3) scalars},

  author       = {Heikinheimo, Matti and Kannike, Kristjan and Lyonnet, Florian and Raidal, Martti and Tuominen, Kimmo and Veermäe, Hardi},

  abstractNote = {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.},

  doi          = {10.1007/jhep10(2017)014},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 10,

  volume       = 2017,

  place        = {United States},

  year         = {2017},

  month        = {10}

}

Copy to clipboard

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Ivanov, Igor P.; Köpke, Marcel; Mühlleitner, Margarete
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Title: Vacuum stability and perturbativity of SU(3) scalars

Abstract

Citation Formats

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C P $$ \mathcal{C}\mathcal{P} $$ violation with an unbroken C P $$ \mathcal{C}\mathcal{P} $$ transformation journal, February 2017

SU(N) Higgs problem with adjoint representation, and Michel's conjecture journal, March 1982

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A Sommerfeld toolbox for colored dark sectors journal, September 2017

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Massive color-octet bosons and pairs of resonances at hadron colliders journal, December 2008

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Colour Octet Extension of 2HDM conference, December 2016

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Pair production of 125 GeV Higgs boson in the SM extension with color-octet scalars at the LHC text, January 2013

Two Higgs doublet models augmented by a scalar color octet text, January 2016

Colour Octet Extension of 2HDM text, January 2016

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Pair production of 125 GeV Higgs boson in the SM extension with color-octet scalars at the LHC
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PyR@TE 2: A Python tool for computing RGEs at two-loop
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Orbit spaces of low‐dimensional representations of simple compact connected Lie groups and extrema of a group‐invariant scalar potential
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Flavor changing neutral currents, an extended scalar sector, and the Higgs production rate at the CERN Large Hadron Collider
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Asymptotically Free Gauge Theories. I
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The geometry of orbit-space and natural minima of Higgs potentials
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The geometry of spontaneous symmetry breaking
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SO (10) grand unification in light of recent LHC searches and colored scalars at the TeV-scale
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Di-Higgs enhancement by neutral scalar as probe of new colored sector
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Ultraviolet Behavior of Non-Abelian Gauge Theories
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Colour octet extension of 2HDM
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Softened gravity and the extension of the standard model up to infinite energy
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C P $$ \mathcal{C}\mathcal{P} $$ violation with an unbroken C P $$ \mathcal{C}\mathcal{P} $$ transformation
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Geometric minimization of highly symmetric potentials
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Two Higgs doublet models augmented by a scalar colour octet
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General method for analyzing Higgs potentials
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Massive color-octet bosons and pairs of resonances at hadron colliders
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Two-loop renormalization group equations in a general quantum field theory
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Two-loop renormalization group equations in a general quantum field theory
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Colour Octet Extension of 2HDM
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Softened gravity and the extension of the standard model up to infinite energy
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Pair production of 125 GeV Higgs boson in the SM extension with color-octet scalars at the LHC
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Two Higgs doublet models augmented by a scalar color octet
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Colour Octet Extension of 2HDM
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Multicomponent Dark Matter from Gauge Symmetry
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