What Is the Maximum Value for the SM Higgs Quartic Coupling?

[Monaliza Smile]

Hi all,

I'm little confused about the maximal appropriate value for the SM Higgs quartic coupling and the Higgs mass = 125 GeV. that as $\lambda =m_h^2 / 2 v^2 \simeq 0.1$ for $v = 246 ~ GeV$.

But according to the perturbation theory, $\lambda$ enters into higher order corrections as $\lambda/(4 \pi)$. So that the very generic limit from perturbativity constraint is $\lambda/(4 \pi) < 1$ or $\lambda < 4 \pi$.

Now after loop correction, say $\lambda = 10$, it won't any more account for the SM Higgs mass !

Best.

 

[Vanadium 50]

So that the very generic limit from perturbativity constraint

That's not a physical limit. It's a region of validity for a particular calculation.

Now after loop correction, say λ=10

But it's not. As you showed earlier, it's two orders of magnitude smaller.