What is the good choice for QCD scale to use when trying to estimate the time of hadronization of a $b$ quark?

The time of hadronisation of a particle is typically : $tau_{hadronization}=frac{1}{Lambda_{QCD}}$.

What is the good choice for QCD scale ($Lambda_{QCD}$) to use when trying to estimate the time of hadronization of a $b$ quark ?

For example, if we use $240 MeV$, we see that
it would not work at all for describing figure 4a of

https://atlas.web.cern.ch/Atlas/GROUPS/PHYSICS/PUBNOTES/ATL-PHYS-PUB-2014-008/

Indeed, we would have mean of

$frac{p_{T B hadron}}{p_{T b quark}}=1-frac{0.240}{4}=0.94$

while the mean is much lower than that.