Minimizing Higgs Potentials via Numerical Polynomial Homotopy Continuation

Maniatis M, Mehta D (2012)
European Physical Journal Plus 127(8).

Journal Article | Published | English

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The study of models with extended Higgs sectors requires to minimize thecorresponding Higgs potentials, which is in general very difficult. Here, weapply a recently developed method, called numerical polynomial homotopycontinuation (NPHC), which guarantees to find all the stationary points of theHiggs potentials with polynomial-like nonlinearity. The detection of allstationary points reveals the structure of the potential with maxima,metastable minima, saddle points besides the global minimum. We apply the NPHCmethod to the most general Higgs potential having two complex Higgs-bosondoublets and up to five real Higgs-boson singlets. Moreover the method isapplicable to even more involved potentials. Hence the NPHC method allows to gofar beyond the limits of the Gr\"obner basis approach.
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Maniatis M, Mehta D. Minimizing Higgs Potentials via Numerical Polynomial Homotopy Continuation. European Physical Journal Plus. 2012;127(8).
Maniatis, M., & Mehta, D. (2012). Minimizing Higgs Potentials via Numerical Polynomial Homotopy Continuation. European Physical Journal Plus, 127(8).
Maniatis, M., and Mehta, D. (2012). Minimizing Higgs Potentials via Numerical Polynomial Homotopy Continuation. European Physical Journal Plus 127.
Maniatis, M., & Mehta, D., 2012. Minimizing Higgs Potentials via Numerical Polynomial Homotopy Continuation. European Physical Journal Plus, 127(8).
M. Maniatis and D. Mehta, “Minimizing Higgs Potentials via Numerical Polynomial Homotopy Continuation”, European Physical Journal Plus, vol. 127, 2012.
Maniatis, M., Mehta, D.: Minimizing Higgs Potentials via Numerical Polynomial Homotopy Continuation. European Physical Journal Plus. 127, (2012).
Maniatis, Markos, and Mehta, Dhagash. “Minimizing Higgs Potentials via Numerical Polynomial Homotopy Continuation”. European Physical Journal Plus 127.8 (2012).
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