## vacuum stability bound on higgs mass

Hi

I have been working through and want to plot the graph (fig1.2) on page 10 also found here http://www.amazon.co.uk/Supersymmetr...1277835&sr=8-1 or here http://arxiv.org/pdf/hep-ph/0003170v1.pdf

I have worked through and got the formula for the triviality bound and that is fine and got the vacuum stability bound of $m_{h}^{2}>\frac{3m_{t}^{4}}{v^2 \pi^2 }\ln{\frac{v \exp(\frac{v^2 \pi^2 m^{2}_{h} v^{2}}{3m_{t}^{4}})}{v}}=\frac{3m_{t}^{4}}{v^2 \pi^2 }\ln{\frac{\Lambda}{v}}$ matching the book.

However when plugging in numbers and plotting (higgs mass agaimst $\Lambda$) I don't get the same trend for this bottom bound and i don't understand why, can anyone help?

inding this graph

 Tags higgs mass, supersymmetry, vacuum stability