I'm little confused about the unitarity and perturbativity constrains which imposed on a potential's parameters, like 2HD potential.

First, what is most essential ? I mean if unitarity constraind $\lambda$ to say less than 20 and  as it's well known perturbativity constraind $\lambda$ to < 4 pi, so what's the most restricted value for $\lambda$ ?

I think being the coupling perturbative is essential so that the theory be finite at higher order correction , so the coupling value in general can't exceed 4 pi .. is it right ?

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