Parameters of TRandom::Landau

[Shaktal]

I am trying to model the deposition of high-energy muons in a calorimeter and have calculated the most-probable value and the width parameter according to the Particle Data Group guide: pdg.lbl.gov/2010/reviews/rpp2010 … matter.pdf

However, in the documentation for TRandom, it specifies that:

“Note that mu is not the mpv(most probable value) of the Landa distribution and sigma is not the standard deviation of the distribution which is not defined.”

I am therefore unsure how to convert the most-probable value and width parameter of the Landau distribution in the PDG information to the parameters required for the ROOT TRandom implementation.

Can anyone shed any clarity on this?

[moneta]

Hi,

A direct functional relation is not really existing, given the complexity of the Landau distribution. I think you should fit the correct Landau distribution to your empirical data of energy loss.
To know more about the Landau distribution please look at this paper , A program package for the Landau distribution, K.S. Kölbig. B. Schorr, Computer Physics Communication (see dx.doi.org/10.1016/0010-4655(8490085-7 ).

Best Regards

Lorenzo