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arXiv · 1612.04950

Minima of the Scalar Potential in the Type II Seesaw Model: From Local to Global

Xun-Jie Xu
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Abstract

The Type II seesaw model requires that its scalar doublet $H$ and triplet $\Delta$ get specific patterns of VEVs $\langle H\rangle\propto(0,1)^{T}$ and $\langle\Delta\rangle\propto(0,0,1)^{T}$ 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 $\langle H\rangle\propto(0,1)^{T}$ and $\langle\Delta\rangle\propto(0,0,1)^{T}$ will be global and finds the necessary and sufficient condition for that, assuming that the lepton number violating term $H^{2}\Delta$ in the potential is perturbatively small.

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Xun-Jie Xu. 2016-12-15. Minima of the Scalar Potential in the Type II Seesaw Model: From Local to Global. https://doi.org/10.1103/physrevd.94.115025

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