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The renormalized coupling constants g2k that enter the equation of state and determine nonlinear susceptibilities of the system have universal values g2k* at the Curie point. We use the pseudo-ε-expansion approach to calculate them together with the ratios R2k = g2k/g4k-1 for the three-dimensional scalar λϕ4 field theory. We derive pseudo-ε-expansions for g6* , g8* , R6* , and R8* in the five-loop...
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