TrkAnaTutorial
Under Construction!
This tutorial is currently being written
Session Prerequisites
This tutorial is aimed at anyone starting ntuple analysis.
Before starting this tutorial you should:
- know about the physics of Mu2e;
- have the appropriate docker container set up; and,
- know how to run the Mu2e Offline software and ROOT.
Session Introduction
One of the final outputs of the Mu2e reconstruction are fits to the tracks in the tracker. These are stored as KalSeed
s in KalSeedCollection
s. For each fit hypothesis, we have a different KalSeedCollection
(e.g. downstream electrons, downstream muons, upstream positrons).
In order to do analyses with these tracks, we have an art module that creates a ROOT TTree of these KalSeed
s called TrkAna. Each entry in the tree corresponds to a single track.
In this tutorial you will:
- create TrkAna trees using the Mu2e Offline software and MDC2018 datasets; and,
- analyze them using the ROOT command line and ROOT macros.
Basic Exercises
These exercises are designed to be run on v7_4_1 from $TUTORIAL_BASE/TrkAna
> whatever command to setup in docker > cd $TUTORIAL_BASE/TrkAna
Exercise 1: Creating the simplest TrkAna tree
In this exercise, we will create the simplest TrkAna tree and investigate it with the ROOT command line.
- First, run
mu2e
on a single CeEndpoint-mix reco art file:
> mu2e -c Ex01/fcl/TrkAnaEx01.fcl -S filelists/mcs.mu2e.CeEndpoint-mix-cat.MDC2018h.1-file.lst
- Now let's have a look at the TrkAna tree with the ROOT command line > root -l trkana-ex01.root root[n]: TrkAnaEx01->cd() root[n]: trkana->Print() You will see the TrkAna tree structure. Here is a brief description of the branches:
-
evtinfo
: event level information (e.g. event ID of theart::Event
this track is from) -
hcnt
: hit count of different types of hit (e.g. number that pass certain selections) -
tcnt
: track count of different track types -
trk
: global fit information for the track (e.g. fit status, ranges of validity, number of hits) -
trk(ent/mid/xit)
: local fit information for the track at the enttrance of the tracker, the middle of the tracker and exit of the tracker (e.g. fit momentum, pitch angle) -
trktch
: calorimeter hit information for the calorimeter function associated to the track (tch = TrkCaloHit) -
crvinfo
: information of associated hits in the CRV - Now we can plot some simple things:
- the track momentum at the tracker entrance root[n]: trkana->Draw("trkent.mom")
- the calorimeter cluster energy root[n]: trkana->Draw("trktch.edep")
- With this last command you will see some entries at -1000. This means that there is no associated calorimeter cluster for this track. To exclude these we want to want to add a cut on the
trktch.active
flag (0 = there is no TrkCaloHit, 1 = there is TrkCaloHit):
root[n]: trkana->Draw("trktch.edep", "trktch.active==1")
- Let's take a quick look at the fcl file to see how the TrackAnalysisReco module has been configured. Open it up in your favourite text editor and look at these important lines: TrkAnaEx01 : { @table::TrackAnalysisReco } physics.analyzers.TrkAnaEx01.candidate.input : "KFFDeM" physics.analyzers.TrkAnaEx01.candidate.branch : "trk" physics.analyzers.TrkAnaEx01.diagLevel : 0 physics.analyzers.TrkAnaEx01.FillMCInfo : false In order, these lines:
- import an example TrkAna module configuration (you can find it in $MU2E_BASE_RELEASE/TrkDiag/fcl/prolog.fcl);
- define the input KalSeedCollection that we want a TrkAna tree for (KFFDeM = KalFinalFit Downstream eMinus);
- configure the name of the output branches;
- set TrkAna to use the lowest diagnostic level (1 = simple list of tracks, 2 = hit level diagnostics); and,
- make sure we are not touching the MC truth
Note that the "trk" parts of the branch names are configurable -- you will see this is a minute
That's the end of this exercise -- you can now create a simple TrkAna tree! Try some of the following optional exercises to explore further:
- (Optional): Run on a CeplusEndpoint-mix file (filelist/mcs.mu2e.CeplusEndpoint-mix-cat.MDC2018h.1-file.lst) and get a list of positively-charged tracks. What is the momentum of these tracks?
- (Optional): Create a second instance of the TrackAnalysisReco module. Have one instance set to look at negatively-charged tracks and the other set to look at positively charged tracks. Run on muplusgamma-mix (filelist/mcs.mu2e.flatmugamma-mix-cat.MDC2018h.1-file.lst) and count how many tracks of each type are found
Exercise 2: Calculating the Ce efficiency
Now that we can create a TrkAna tree, let's calculate how efficient our reconstruction is for conversion electrons with some signal cuts. There's a lot of concepts introduced in this exercise, so don't worry if it all doesn't make sense at first. I'll start with some quick notes on event counting, event weighting, and reco quality.
Event Counting
In the simulation, we generate a certain number of events. However, in order to save space, we only write out events that will produce a reconstructed tracks. We have various ways of filtering events but the result is the same -- the number of events in the output art files do not correspond to the number of events that were generated. We need to know the total number of generated events in order to calculate an absolute efficiency. We keep track of the number of events that were generated by creating a GenEventCount
object for each SubRun. Then in our TrkAna job, we run the genCountLogger
module to read the actual number of generated events.
Event Weighting
In each "mixed" event, we add a single "primary" particle onto a set of "background frames", which represent the background hits from other processes. We want to simulate the variable intensity of the proton beam at the production target and so we scale the number of background hits when we create the mixed event. However, we still only add a single primary particle and so we record the scale factor used in a ProtonBunchIntensity
object for use later. In our TrkAna job, we will add a new module to the trigger path (PBIWeight
), which translates the scale factor used for the proton bunch intensity into an EventWeight
object. The TrackAnalysisReco module will write out these proton beam scale factors to a new branch (evtwt.PBIWeight
). Event weighting is explored a little bit more in one of the optional exercises.
Reco Quality
We use various algorithms to check the "quality" of a track in some dimension. Currently there are two we consider:
- the track quality (i.e. how will-reconstructed a track is); and
- the particle ID (PID) quality (i.e. how closely a track resembles an electron rather than a muon).
In our TrkAna job, we will add two artificial neural network (ANN) based algorithms to determine these reco qualities (TrkQual and TrkCaloHitPID). In this exercise, we only care that the output of both of these modules is a RecoQualCollection
with one RecoQual
object per KalSeed
. A RecoQual
is essentially a float and, in these two algorithms, is between 0 (poorly-reconstructed, XXX PID) and 1 (well-reconstructed, YYY PID). TrkQual is explored in more detail in Advanced Exercise 3.
The Exercise
Now onto the exercise:
- Create a TrkAna tree with CeEndpoint-mix tracks and include the
genCountLogger
,PBIWeight
,TrkQual
andTrkCaloHitPID
modules
mu2e -c Ex02/fcl/TrkAnaEx02.fcl -S filelists/mcs.mu2e.CeEndpoint-mix-cat.MDC2018h.1-file.lst
If you read the file you will see that we have added:
physics.TrkAnaTrigPath : [ @sequence::TrkAnaReco.TrigSequence ]
which adds a standard set of modules including - Also in TrkAnaEx02.fcl, you will see that we have changed the
input
parameter to just"KFF"
and added thesuffix
parameter:
physics.analyzers.TrkAnaEx02.candidate.input : "KFF"
physics.analyzers.TrkAnaEx02.candidate.branch : "trk"
physics.analyzers.TrkAnaEx02.candidate.suffix : "DeM"
In the Mu2e reconstruction jobs, we keep consistency between our fit hypotheses with standard suffixes to the module labels. If you look in $MU2E_BASE_RELEASE/TrkDiag/fcl/prolog.fcl, you will see that we have TrkQualDeM, TrkQualDeP etc.
- If you open up the ROOT file and print the tree structure, you will notice the following new branches:
evtwt
: stores the values of allEventWeight
objects in the art eventtrkqual
: stores the values of all relevantRecoQual
objects in the art event- (Optional): Try running without a suffix parameter and set
input
back to"KFFDeM"
. What do you see in the outputtrkqual
branch - Run this example ROOT macro that plots the track momentum onto a histogram with 0.5 MeV wide bins root -l Ex02/scripts/TrkAnaEx02.C
- Change the bin width to 0.05 MeV
- Add the following signal cuts to the Draw function
- the fit is successful (
trk.status > 0
) - the track is in the time window of 700 ns -- 1695 ns (
trk.t0
) - the tan-dip of the track is consistent with coming from the target: 0.577350 -- 1.000 (
trkent.td
) - the impact parameter of the track is consistent with coming from the target: -80 mm -- 105 mm (
trkent.d0
) - the maximum radius of the track is OK: 450 mm -- 680 mm (
trkent.d0 + 2./trkent.om
) - the track is of good quality (
trkqual.TrkQualDeM > 0.8
) - Because we simulated each event with a different proton bunch intensity, each track should be weighted by the PBIWeight. To do this you will want to modify the cut command to add the event weighting: evtwt.PBIWeight*(cuts)
- Now we can count the number of tracks that pass all these cuts hRecoMom->Integral()
- We can also integrate in the momentum signal region with the same function. Be careful TH1F::Integral takes bin numbers as its arguments and not x-values. Some hints:
- you can find a bin for a given x-value with hist->GetXaxis()->FindBin(x-value)
- make sure you aren't off by one bin by checking the bin low edges and bin high edges with TAxis::GetBinLowEdge() and TAxis::GetBinUpEdge().
- To calculate the efficiency you need to know the number of events generated for this simulation. This is stored in the output of the
genCountLogger
module
TH1F* hNumEvents = (TH1F*) file->Get("genCountLogger/numEvents");
double n_generated_events = hNumEvents->GetBinContent(1);
- Now you can calculate the absolute Ce efficiency. What's the answer?
PBIWeight
etc. (you can look in $MU2E_BASE_RELEASE/TrkDiag/fcl/prolog.fcl for more details).
Defining a suffix
in the TrkAna configuration allows us to store only the relevant RecoQual
values.
Now that you can calculate the Ce efficiency, try some of the following exercises:
- (Optional): Make the plot prettier by:
- adding appropriate axis labels
- writing the Ce efficiency on the plot with a TLatex
- adding dashed lines to show the momentum window with TLines (extra bonus: have the lines move when the momentum window values change)
- (Optional): Add a second momentum plot but with a higher track quality cut and include a TLegend.
- (Optional): Add the following module to your producer block and append it to your trigger path dioLLWeight : { module_type : BinnedSpectrumWeight physics : @local::EventGenerator.producers.dioalll.physics genParticleTag : "compressRecoMCs" genParticlePdgId : 11 genParticleGenId : dioTail BinCenter : false } Run on the flateminus-mix filelist and look at the TrkAna tree. You will notice that the dioLLWeight has been added to the
evtwt
branch without having to reconfigure TrkAna! Plot the reconstructed momentum of DIOs
Exercise 3: Adding MC truth
In this exercise, we will add MC truth information to the TrkAna tree and see how close our reconstruction matches the truth.
- Create a TrkAna tree with CeEndpoint-mix tracks and include the MC truth information: mu2e -c Ex03/fcl/TrkAnaEx03.fcl -S filelists/mcs.mu2e.CeEndpoint-mix-cat.MDC2018h.1-file.lst If you look in the fcl file, you will notice that there is a global switch
- You can open up the file and Print the tree structure. For this exercise, we will focus on the
trkmcent
, which contains the MC information for the step that crossed the entrance into the tracker. The othertrkmc*
branches will be the focus of Exercise 4. - Run this example ROOT macro that plots the intrinsic tracker momentum for tracks that pass our signal cuts except for the trkqual and momentum window cuts root -l Ex03/scripts/TrkAnaEx03.C
- Add the following line to the start of the macro: gStyle->SetOptStat(111111); This will add the "Overflow" and "Underflow" values of the histogram to the stats box. This shows the number of events that fall outside of the axis range of the histogram. In ROOT the overflow bin is at bin number n_bins+1 and the underflow bin is bin number 0.
- Using what you learned in Exercise 2, count the number of events above +3 MeV, including the events in the overflow bin
- Add the trkqual cut and play with it. How does the number of events above +3 MeV change?
fillMCInfo
and a local switch for the candidate track candidate.fillMC
. This will be important when we add supplemental tracks in Exercise 5.
- (Optional): Do the same comparison at the middle or exit of the tracker
- (Optional): Perform a fit to a double-sided crystal ball function. This function is a Gaussian with polynomial tails. The function can be found here: scripts/dscb.h. You will need to create your own TF1 (hint) and use the TH1::Fit() function (hint). What is the core resolution?
Exercise 4: Following genealogy
With TrkAna, we also have access to important steps in the genealogy of the track (i.e. which particles produced the track). Before looking at the branches themselves, we need to discuss a little about the simulation.
For each event in the simulation we instantiate a GenParticle
, which represents the particle we want to start the simulation with. For some of our samples, we create more than one of these per event (e.g. for cosmic rays, we take all the particles created in the shower at a certain altitude). We then pass these GenParticles
to the physics simulation and create a SimParticle
for each one. We then let Geant4 simulate these SimParticles
and create more SimParticles
until we end up with StepPointMCs
in the detectors. For the tracker, there will be many different StepPointMCs
from different SimParticles
in every straw. We assign a SimParticle
to be responsible for each straw hit if it had the most StepPointMCs
in that hit.
Now here is a description of the branches we have in TrkAna:
- trkmc
- contains information about the
SimParticle
that produced the most hits on the track - trkmcgen
- contains information about the actual
GenParticle
in our simulation that ultimately produced the track (e.g. for cosmic rays, this will be the particle in the shower that ultimately produced the track) - trkmcpri
- contains information about the primary particle that produced the
trkmcgen
particle (e.g. for cosmic rays, this will correspond to the cosmic ray that produced the shower (i.e. the proton))
For most of our samples, these are all the same particle. In order to explore the differences, we will run on a sample of cosmic rays made by the CRY generator.
- Create a TrkAna tree with CRY-cosmic-general-mix tracks and include the MC truth information: mu2e -c Ex04/fcl/TrkAnaEx04.fcl -S filelists/mcs.mu2e.CRY-cosmic-general-mix-cat.MDC2018h.1-file.lst
- Open the ROOT file and look at the PDG ID codes of the MC particles (defined here but some important ones are 11 = electron, -11 = positron, 13 = muon, -13 = positive muon, 2212 = proton). root -l trkana-ex04.root root[n]: TrkAnaEx04->cd() root[n]: trkana->Scan("trkmc.pdg:trkmcgen.pdg:trkmcpri.pdg") Here are the first few rows: ************************************************ * Row * trkmc.pdg * trkmcgen. * trkmcpri. * ************************************************ * 0 * 13 * 13 * 2212 * * 1 * 13 * 13 * 2212 * * 2 * 11 * 13 * 2212 * * 3 * 13 * 13 * 2212 * * 4 * -13 * -13 * 2212 * * 5 * 11 * -13 * 2212 * So the "primary" particle is a proton, this is the cosmic ray proton and doesn't actually appear in our simulation. The
- However just because we have two particles of the same type at the different stages, does not mean that they are the same particle. We need look at the
trkmc.prel
, which encodes the relationship between the track particle and theGenParticle
:
root[n]: trkana->Scan("trkmc.pdg:trkmc.prel:trkmcgen.pdg:trkmcgen.pdg")
You can look in $MU2E_BASE_RELEASE/MCDataProducts/inc/MCRelationship.hh for the definitions (0 = same, 1 = direct child, -1 = unrelated).
- Anything else to do here?
GenParticles
that started our simulation are either positive or negative muons. The particles that are responsible for the tracks are either muons or electrons.
That's it for this exercise. As you can tell, this isn't an exhaustive genealogy tree so if you need to look at something more complex, then you can run in the full Offline framework where we (currently) store every step in the genealogy for saved tracks. However, you can try this optional exercise for another example:
- (Optional): Run on the flatmugamma-mix (internalRMC would be better...) file list and look at the genealogy of those tracks
Exercise 5: Adding supplemental tracks
From the last exercise, we can see that we get muon tracks. But we were only looking at the result of the electron-hypothesis fit. We can have TrkAna write out the results of "supplement" fits (e.g. downstream muon track)
- Create a TrkAna tree with CRY-cosmic-general-mix tracks and include the result of downstream mu-minus fits: mu2e -c Ex05/fcl/TrkAnaEx05.fcl -S filelists/mcs.mu2e.CRY-cosmic-general-mix-cat.MDC2018h.1-file.lst
- Open up the fcl file and you will see that we have created a couple of blocks to handle branch definitions: DeM : { input : "KFF" branch : "de" suffix : "DeM" fillMC : true } DmuM : { input : "KFF" branch : "dm" suffix : "DmuM" fillMC : false } We have kept the same definition for the downstream electron (although we have changed the branch name to
- Open up the ROOT file and look in the tree. You will see that we now have both
de*
branches anddm*
branches - Plot resolution for DeM like you did in Exercise 3. You will see that it doesn't look great... root -l Ex05/scripts/TrkAnaEx05.C We know from Exercise 4, that some of the actual particles that are creating the track are muons and positrons but we are looking at the negatively-charged electron-hypothesis fit result.
- Add cuts on the true MC particle and compare the resolutions (demc==11, demc==-11, demc==13, and demc==-13)
- Now let's look at the resolution of the muon-hypothesis fits
- re-run TrkAnaEx05.fcl but set the DmuM branch to be filled with MC information
- re-run your ROOT macro but look at the DmuM branch rather than DeM branch
- Obviously in the real experiment, we won't know what the true particle is and so we need to use reconstructed quantities to get a handle on the truth. In TrkAna we have TrkQual and TrkPID so play with cuts on one or both of dequal.TrkQualDeM and dequal.TrkPIDDeM to remove as much of the "wrong" truth while keeping as much of the "correct" truth as possible
de
) and we have added a definition for the downstream mu-minus tracks. These are then used here:
physics.analyzers.TrkAnaEx05.candidate : @local::DeM
physics.analyzers.TrkAnaEx05.supplements : [ @local::DmuM ]
where we are making the DmuM fits a "supplement" track. This means that for each KalSeed
in the DeM collection, TrkAna will look in the DmuM collection and write out the track information for the DmuM track that is closest in time to the DeM track.
You will see that the true mu^{-} histogram is now centered at 0
Here are some optional exercises:
- (Optional): add upstream e-minus fits (UeM) as a supplement and plot the number of tracks of each type (branch <code?tcnt
- (Optional): Swap the candidate (DeM) with one of the supplements (e.g. UeM) and re-run. You will notice that you will have more candidate (UeM) tracks now than when it was a supplement. This is because we were only writing out a supplement track if there was a candidate track in the same event, so we would have missed events that only have the supplement.
Exercise 6: TrkAnaReco
Run TrkAnaReco.fcl and explain branches. The detrkqual and detrkpid branches will be exaplained in an advanced exercise.
- Run TrkAnaReco.fcl mu2e -c $MU2E_BASE_RELEASE/TrkDiag/fcl/TrkAnaReco.fcl -S filelists/mcs.mu2e.CRY-cosmic-general-mix-cat.MDC2018h.1-file.lst
- look for reflected tracks? compare DeM to DmuM?
- check for CRV coincidence?
Advanced Exercises
These exercises are designed to be run on v7_4_1 from $TUTORIAL_BASE/TrkAna
> whatever command to setup in docker > cd $TUTORIAL_BASE/TrkAna
Exercise 1: Looking at the hits in the track
With TrkAna we can get information about the individual hits by setting diagLevel to 2
This #includes TrkAnaReco.fcl and then edits the diagLevel
Very simple event display?
Exercise 2: Analyzing a TrkAna tree with a compiled macro
In this exercise, we will create a compiled ROOT macro that loops through each event and performs a more complex analysis. Simple TTree::Draw commands with cuts are great for quickly prototyping analyses but can cause issues in the longterm.
In the TrkAna tree, each branch is essentially a struct. We call them info structs and they can be found in $MU2E_BASE_RELEASE/TrkDiag/inc/*Info.hh
. If you look in those files, you will see each struct and you will recognise the various leaf names. These structs are stored in a shared library so we can use them in compiled ROOT macros.
A TrkAna tree containing the full CeEndpoint-mix dataset can be found in $TUTORIAL_BASE/data/trkana-cem.root.
- To motivate a little more why this is better than a complicated cut command, try to run a cut command with a typo in the leafname
- Run the example script that will print some information about the first few tracks but first we need to update the ROOT_INCLUDE_PATH: > export ROOT_INCLUDE_PATH=$ROOT_INCLUDE_PATH:$BTRK_INC > root -l root[n]: .L scripts/TrkAnaTutAdvEx02.C+ root[n]: TrkAnaTutAdvEx02()
- Here are the important lines: #include "TrkDiag/inc/TrkInfo.hh" We
- Add the demid branch
- Add event weight info branch?
- Add arguments to the function for the filename and the treename
- Create a cutflow plot?
- Do something complicated with de and ue (e.g. require ue not within 200 ns)
#include
the header file that contains the info structs that we will use
mu2e::TrkInfo de;
trkana->SetBranchAddress("de", &de);
mu2e::TrkFitInfo deent;
trkana->SetBranchAddress("deent", &deent);
Here we create empty info structs which ROOT will fill for each TTree entry
for (int i_entry = 0; i_entry < n_entries; ++i_entry) {
trkana->GetEntry(i_entry);
std::cout << "Track #" << i_entry << ": Status = " << de._status << ", p = " << deent._fitmom << " MeV/c" << std::endl;
}
Here we loop through each event in the TrkAna tree and print some info from each event using the info structs directly.
Exercise 3: Retraining TrkQual
This can just run TrkAnaReco.fcl but want to highlight that the TrkQualInfo is written out with the candidate.trkqual
Write out trkqual branch and retrain with a different background weight expression (or a different sample? If so, create the trkana tree in advance because there won't be enough space for all the reco files in the docker)
Run in parallel with original TrkQual
Exercise 4: Adding your own weight module? (with event weighting)
Run on flateminus-mix with DIO weights and plot that. Should this be an optional exercise in the basic exercises?
Exercise 5: Adding your own custom branch to TrkAna
Here we will create a new info struct and write that out in the TrkAna tree
Exercise 6: Creating your own "TrkAna" tree using InfoStructs
For this exercise, you should know how to write an art module.
This is a bit of a convoluted exercise but let's say, in the future, you have a new data product for your analysis that contains a KalSeed. You already have a module to create a TTree for your data product but you want to write out information about the KalSeed. Can you do this without having to write your own code? Yes!
Explain info struct helper to create a new module to create a simple tree (need to know module writing)?
Reference Materials
- Use this place to add links to reference materials.
- TrkAna wiki page
A Useful Glossary
- ROOT
- data analysis framework developed at CERN
- KalSeed
- data product that represents a track
- CeEndpoint-mix
- dataset name for CeEndpoint (i.e. mono-energetic electrons) with background frames mixed in
- CeplusEndpoint-mix
- dataset name for CeplusEndpoint (i.e. mono-energetic positrons) with background frames mixed in
- flatmugamma-mix
- dataset name for flatmugamma (i.e. flate energy photons generated at muon stopping positions) with background frames mixed in
- KalFinalFit
- the module name for the final stage of the Kalman filter fit for the track
- TrkQual
- an artificial neural network (ANN) that takes parameters from the track and outputs a value between 0 (poorly reconstructed) and 1 (well-reconstructed)