High-temperature Higgs potential of the~two-doublet model in catastrophe theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 2, pp. 315-337
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We consider the general case of the temperature evolution of the two-doublet Higgs potential of the minimal supersymmetric standard model when vacuum condensates of the Higgs doublets arbitrarily propagate along the equilibrium surface {(}or along the extremum surface{\rm)} passing through bifurcation domains. In the framework of catastrophe theory, the two-doublet Higgs potential of the minimal supersymmetric standard model is a special case of a gradient system potential. We obtain nonlinear transformations of the vacuum condensates of this model, which reduce the two-doublet potential to a canonical form, and catastrophe functions of types $A_3$ and $A_5$ corresponding to an electroweak first-order phase transition in the considered model.
Keywords:
two-doublet model, minimal supersymmetric standard model, finite-temperature Higgs potential, electroweak phase transition, canonical forms of catastrophe theory.
@article{TMF_2015_184_2_a8,
author = {M. N. Dubinin and E. Yu. Petrova},
title = {High-temperature {Higgs} potential of the~two-doublet model in catastrophe theory},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {315--337},
publisher = {mathdoc},
volume = {184},
number = {2},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2015_184_2_a8/}
}
TY - JOUR AU - M. N. Dubinin AU - E. Yu. Petrova TI - High-temperature Higgs potential of the~two-doublet model in catastrophe theory JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2015 SP - 315 EP - 337 VL - 184 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2015_184_2_a8/ LA - ru ID - TMF_2015_184_2_a8 ER -
%0 Journal Article %A M. N. Dubinin %A E. Yu. Petrova %T High-temperature Higgs potential of the~two-doublet model in catastrophe theory %J Teoretičeskaâ i matematičeskaâ fizika %D 2015 %P 315-337 %V 184 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2015_184_2_a8/ %G ru %F TMF_2015_184_2_a8
M. N. Dubinin; E. Yu. Petrova. High-temperature Higgs potential of the~two-doublet model in catastrophe theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 2, pp. 315-337. http://geodesic.mathdoc.fr/item/TMF_2015_184_2_a8/