# 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}
}
• Published 2 March 2012
• Physics, Mathematics
• The European Physical Journal Plus
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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