Abstract
Left-Right symmetric models with general $g_L \neq g_R$ gauge couplings which include bidoublet and triplet scalar multiplets are studied. Possible scalar mass spectra are outlined by imposing Tree-Unitarity, and Vacuum Stability criteria and also using the bounds on neutral scalar masses $M_{\rm H^{ FCNC}}$ which assure the absence of Flavour Changing Neutral Currents (FCNC). We are focusing on mass spectra relevant for the LHC analysis, i.e., the scalar masses are around TeV scale. As all non-standard heavy particle masses are related to the vacuum expectation value (VEV) of the right-handed triplet ($v_R$), the combined effects of relevant Higgs potential parameters and $M_{\rm H^{ FCNC}}$ regulate the lower limits of heavy gauge boson masses. The complete set of Renormalization Group Evolutions for all couplings are provided at the 1-loop level, including the mixing effects in the Yukawa sector. Most of the scalar couplings suffer from the Landau poles at the intermediate scale $Q \sim 10^{6.5}$ GeV, which in general coincides with violation of the Tree-Unitarity bounds.
Highlights
After the 2012 discovery of the spin-zero boson at the LHC [1,2] we are even more convinced that the theoretical concept of the mass generation within the gauge theory is correct
The constraints from Tree-Unitarity give a good handle to understand the spectrum of the heavy scalar fields within the LeftRight symmetric models
We expressed TU in terms of the physical scalar fields, we have been able to translate those constraints into the maximal mass limits of some beyond Standard Model heavy particles
Summary
After the 2012 discovery of the spin-zero boson at the LHC [1,2] we are even more convinced that the theoretical concept of the mass generation within the gauge theory is correct. In the present study we derive Tree-Unitarity (TU) constraints in MLRSM which are written in form of individual and (or) linear combinations of the quartic couplings These bounds are translated in terms of the physical scalar masses. We provide a complete set of 1-loop RGEs, including all couplings of the theory It is important for two reasons: (i) to prepare a well-tested background for higher-loops analysis, and (ii) the earlier results [67] have been used repeatedly in recent studies [68,69, 17] and it is better to avoid proliferation of misprints in the future. In this paper upper limits on the heaviest mass of these Higgs bosons compatible with the TU bounds are computed as functions of v R
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