Bounds from Stability and Symmetry Breaking on Parameters in the Two-Higgs-Doublet Potential

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The most general $SU(2)\times U(1)_Y$-symmetric quartic potential with two Higgs doublets, subject to an only softly broken discrete symmetry $(ϕ_1,ϕ_2)\to(-ϕ_1,ϕ_2)$, is considered. At tree-level, analytic bounds on the parameters are derived that ensure a stable vacuum, breaking $SU(2)\times U(1)_Y$ down to $U(1)_{em}$.
from last year, but due to recent interest now on the e-print archive, 8 pages, no figures, plain latex

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