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Vacuum stability and symmetry breaking in left-right symmetric model

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Abstract We derive analytic necessary and sufficient conditions for the vacuum stability of the left-right symmetric model by using the concepts of copositivity and gauge orbit spaces. We also derive… Click to show full abstract

Abstract We derive analytic necessary and sufficient conditions for the vacuum stability of the left-right symmetric model by using the concepts of copositivity and gauge orbit spaces. We also derive the conditions sufficient for successful symmetry breaking and the existence of a correct vacuum. We then compare results obtained from the derived conditions with those from numerical minimization of the scalar potential. Finally, we discuss the renormalization group analysis of the scalar quartic couplings through an example study that satisfies vacuum stability, perturbativity, unitarity and experimental bounds on the physical scalar masses.

Keywords: left right; symmetric model; right symmetric; stability; symmetry breaking; vacuum stability

Journal Title: Journal of High Energy Physics
Year Published: 2019

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