Vacuum stability and symmetry breaking in left-right symmetric model

Abstract

We derive analytic 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 necessary and sufficient conditions 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.

Prospects of gravitational waves in the minimal left-right symmetric model

“…After the spontaneous symmetry breaking, all the scalar fields have to form some specific structure in the phase space such that we reside in the correct vacuum, i.e. the vacuum with the lowest VEV in the potential [104,157].…”

“…The sufficient but not necessary conditions for vacuum stability and correct vacuum in the LRSM are worked out in [104] and listed below (simple analytic formula can only be obtained in the condition α 2 = 0): where the condition structure "p ⇐ q" means p needs to be checked if and only if the condition q is true. In this paper, we have chosen λ 2,3,4 = 0, which corresponds to the case of η = σ = 0.…”

“…In this work, we examine phase transitions in the LRSM and the resultant features of the corresponding GWs. Compared with the re-JHEP03(2021)267 cent and former study [103], the new things of this paper lie in the following aspects: (i) we have implemented the correct EW vacuum conditions [104] and set α 2 = 0 (α 2 is a quartic coupling in the scalar potential eq. (2.2)), (ii) we have taken into account more recent LHC experimental bounds, which are collected in table 1 and figure 1, (iii) we have found more general parameter space where the strong FOPT can occur and detectable GWs can be produced, and (iv) we have also explored the complementarity of GW probes of LRSM and the direct searches of the heavy (or light long-lived) particles in the LRSM at the high-energy colliders, and examined how the self couplings of SM Higgs can be affected in the LRSM.…”

Majorana fermion dark matter in minimally extended left-right symmetric model

“…In the minimal LRSM, the Higgs potential for Φ and ∆ L,R and the symmetry breaking have been investigated in detail [23][24][25][26][27][28][29][30][31][32]. We extend the Higgs potential by adding φ X as follows:…”

Vacuum stability in inert higgs doublet model with right-handed neutrinos

“…The issue of vacuum stability in presence of additional scalars has been extensively studied in the literature. An incomplete list of models include SM-singlet scalar models [19][20][21][22][23][24][25], Two-Higgs doublet models (2HDM) [26][27][28][29][30][31], type-II seesaw models with SU(2) L -triplet scalars [32][33][34][35][36][37][38], U(1) extensions [39][40][41][42][43][44][45], left-right symmetric models [46][47][48], universal seesaw models [49,50], Zee-Babu model [51,52], models with Majorons [53,54], axions [22,55], moduli [56,57], scalar leptoquarks [58] or higher color-multiplet scalars [59,60], as well as various supersymmetric models [61][62][63][64]…”