# Minimizing Higgs potentials via numerical polynomial homotopy continuation

@article{Maniatis2012MinimizingHP, title={Minimizing Higgs potentials via numerical polynomial homotopy continuation}, author={Markos Maniatis and Dhagash Mehta}, journal={The European Physical Journal Plus}, year={2012}, volume={127}, pages={1-8} }

The study of models with extended Higgs sectors requires to minimize the corresponding Higgs potentials, which is in general very difficult. Here, we apply a recently developed method, called numerical polynomial homotopy continuation (NPHC), which guarantees to find all the stationary points of the Higgs potentials with polynomial-like non-linearity. The detection of all stationary points reveals the structure of the potential with maxima, metastable minima, saddle points besides the global…

## 39 Citations

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