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}
}
  • M. Maniatis, D. Mehta
  • 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… 

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