definition of variables in normal mode

Dear all,

Good morning. I am new to ma5 (but used to work with Pythia8/Delphes file out of a MG5 event generation). I am trying to understand how the variables defined in ma5 work or are defined in normal mode, so that I could implement my observables in expert modes. I could not find where I could, for instance, get the momentum component of a particle in expert mode or how the difference in angle PHI or the invariant mass are defined in normal mode.
Apologies for all the following questions. Please redirect me to some section of the manual if replying takes too long.

1.
In normal mode, for instance, after importing a delphes.root file, I would like to compute the ABSOLUTE VALUE of the angle PHI difference between a lepton-met system and a jet (Table 9 https://arxiv.org/pdf/2206.09466.pdf, for reference). My guess was to define a new particle as:

ma5> define lmet = met l

and then compute :

ma5> dvPHI(lmet j)

Or also, I was trying to compute the ABSOLUTE VALUE of the invariant mass of a dilepton system and a jet (still Table 9 https://arxiv.org/pdf/2206.09466.pdf, for reference). Again my guess is to define the dilepton system as:

ma5> define ll = l l

and then compute :

ma5> vM(ll j)

2.
Finally, when computing a variable which has vectors as arguments, I was wondering if the observable met was defined as to recover also the information on the vector associated to the missing transverse energy (angle PHI and rapidity). For instance, if when doing:

ma5> vdPHI(met l)

I am actually using the vector associated to the missing transverse energy to compute the difference in PHI angle.

3.
As for the definition of the met, I understood it has been defined collecting all visible particle. There is also the met associated to hadrons. Hence, I was wondering if in the definition of met, also hadrons are included.

I truly thank you for your time and help!

Best regards,
Guglielmo Coloretti