Minima of the Scalar Potential in the Type II Seesaw Model: From Local to Global
Abstract
The Type II seesaw model requires that its scalar doublet H and triplet get specific patterns of VEVs H(0,1)T and (0,0,1)T to accommodate neutrino masses. However, other types of minima could also exist in the scalar potential, which may strongly contradict to experimental observations. This paper studies when the minimum at H(0,1)T and (0,0,1)T will be global and finds the necessary and sufficient condition for that, assuming that the lepton number violating term H2 in the potential is perturbatively small.
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