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

Journal Article · 03 October 2017 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep10(2017)014 · OSTI ID:1501929

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

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.

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

Sponsoring Organization:: 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)

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

OSTI ID:: 1501929

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 10; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 6 works

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Asymptotic freedom in $$\mathbb {Z}_2$$ Z 2 -Yukawa-QCD models Gies, Holger; Sondenheimer, René; Ugolotti, Alessandro The European Physical Journal C, Vol. 79, Issue 2 https://doi.org/10.1140/epjc/s10052-019-6604-z	journal	January 2019
Scheme dependence of asymptotically free solutions Gies, Holger; Sondenheimer, René; Ugolotti, Alessandro The European Physical Journal C, Vol. 79, Issue 6 https://doi.org/10.1140/epjc/s10052-019-6956-4	journal	June 2019
Scheme dependence of asymptotically free solutions Gies, Holger; Sondenheimer, René; Ugolotti, Alessandro GSI Helmholtzzentrum fuer Schwerionenforschung, GSI, Darmstadt https://doi.org/10.15120/gsi-2019-00856	text	January 2019
Algorithmic Boundedness-From-Below Conditions for Generic Scalar Potentials Ivanov, Igor P.; Köpke, Marcel; Muhlleitner, Margarete arXiv https://doi.org/10.48550/arxiv.1802.07976	text	January 2018
Scheme dependence of asymptotically free solutions Gies, Holger; Sondenheimer, René; Ugolotti, Alessandro arXiv https://doi.org/10.48550/arxiv.1901.08581	text	January 2019

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