Insert tau (#95)

Co-authored-by: Dmitry Kalinkin <[email protected]>

.gitlab-ci.yml

@@ -143,6 +143,7 @@ include:
   - local: 'benchmarks/timing/config.yml'
   - local: 'benchmarks/b0_tracker/config.yml'
   - local: 'benchmarks/insert_muon/config.yml'
+  - local: 'benchmarks/insert_tau/config.yml'
   - local: 'benchmarks/zdc_sigma/config.yml'
   - local: 'benchmarks/zdc_lambda/config.yml'
   - local: 'benchmarks/insert_neutron/config.yml'
@@ -170,6 +171,7 @@ deploy_results:
     - "collect_results:zdc"
     - "collect_results:zdc_lyso"
     - "collect_results:insert_muon"
+    - "collect_results:insert_tau"
     - "collect_results:zdc_photon"
     - "collect_results:zdc_pi0"
     - "collect_results:femc_electron"

Snakefile

@@ -8,13 +8,14 @@ include: "benchmarks/material_scan/Snakefile"
 include: "benchmarks/tracking_performances/Snakefile"
 include: "benchmarks/tracking_performances_dis/Snakefile"
 include: "benchmarks/lfhcal/Snakefile"
+include: "benchmarks/zdc_lyso/Snakefile"
 include: "benchmarks/insert_muon/Snakefile"
 include: "benchmarks/zdc_lambda/Snakefile"
-include: "benchmarks/zdc_lyso/Snakefile"
 include: "benchmarks/zdc_photon/Snakefile"
 include: "benchmarks/zdc_pi0/Snakefile"
 include: "benchmarks/zdc_sigma/Snakefile"
 include: "benchmarks/insert_neutron/Snakefile"
+include: "benchmarks/insert_tau/Snakefile"
 include: "benchmarks/femc_electron/Snakefile"
 include: "benchmarks/femc_photon/Snakefile"
 include: "benchmarks/femc_pi0/Snakefile"

benchmarks/insert_tau/Snakefile

@@ -0,0 +1,68 @@
+def get_n_events(wildcards):
+    energy = float(wildcards.P)
+    n_events = 1000
+    n_events = int(n_events // ((energy / 20) ** 0.5))
+    return n_events
+
+rule insert_tau_generate:
+    input:
+        script="benchmarks/insert_tau/analysis/gen_particles.cxx",
+    params:
+        N_EVENTS=get_n_events,
+        th_max=7.0,
+        th_min=1.7,
+    output:
+        GEN_FILE="sim_output/insert_tau/tau-_{P}GeV.hepmc",
+    shell:
+        """
+root -l -b -q '{input.script}({params.N_EVENTS},"{output.GEN_FILE}", "tau-", {params.th_min}, {params.th_max}, 0., 360., {wildcards.P})'
+"""
+
+rule insert_tau_simulate:
+    input:
+        GEN_FILE="sim_output/insert_tau/tau-_{P}GeV.hepmc",
+        warmup="warmup/{DETECTOR_CONFIG}.edm4hep.root",
+    params:
+        N_EVENTS=get_n_events,
+        PHYSICS_LIST="FTFP_BERT",
+    output:
+        SIM_FILE="sim_output/insert_tau/{DETECTOR_CONFIG}_sim_tau-_{P}GeV_{INDEX}.edm4hep.root"
+    shell:
+        """
+# Running simulation
+npsim \
+   --compactFile $DETECTOR_PATH/{wildcards.DETECTOR_CONFIG}.xml \
+   --numberOfEvents {params.N_EVENTS} \
+   --skipNEvents $(( {params.N_EVENTS} * {wildcards.INDEX} )) \
+   --physicsList {params.PHYSICS_LIST} \
+   --inputFiles {input.GEN_FILE} \
+   --outputFile {output.SIM_FILE}
+"""
+
+rule insert_tau_recon:
+    input:
+        SIM_FILE="sim_output/insert_tau/{DETECTOR_CONFIG}_sim_tau-_{P}GeV_{INDEX}.edm4hep.root",
+    params:
+        N_EVENTS=get_n_events,
+    output:
+        REC_FILE="sim_output/insert_tau/{DETECTOR_CONFIG}_rec_tau-_{P}GeV_{INDEX}.edm4eic.root",
+    shell:
+        """
+eicrecon {input.SIM_FILE} -Ppodio:output_file={output.REC_FILE} -Pdd4hep:xml_files=$DETECTOR_PATH/{wildcards.DETECTOR_CONFIG}.xml -Ppodio:output_collections=MCParticles,HcalEndcapPInsertRecHits,HcalEndcapPInsertClusters,HcalEndcapPInsertSubcellHits,EcalEndcapPInsertRecHits,EcalEndcapPInsertClusters,EcalEndcapPClusters,LFHCALClusters  -Pjana:nevents={params.N_EVENTS}
+"""
+
+rule insert_tau_analysis:
+    input:
+        expand("sim_output/insert_tau/{DETECTOR_CONFIG}_rec_tau-_{P}GeV_{INDEX}.edm4eic.root",
+            P=[20, 30, 40, 50, 60, 80, 100],
+            DETECTOR_CONFIG=["{DETECTOR_CONFIG}"],
+            INDEX=range(5),
+        ),
+        script="benchmarks/insert_tau/analysis/tau_plots.py",
+    output:
+        results_dir=directory("results/{DETECTOR_CONFIG}/insert_tau"),
+    shell:
+        """
+mkdir -p {output.results_dir}
+python {input.script} {output.results_dir}
+"""

benchmarks/insert_tau/analysis/gen_particles.cxx

@@ -0,0 +1,127 @@
+#include "HepMC3/GenEvent.h"
+#include "HepMC3/ReaderAscii.h"
+#include "HepMC3/WriterAscii.h"
+#include "HepMC3/Print.h"
+
+#include "TRandom3.h"
+#include "TVector3.h"
+
+#include <iostream>
+#include <random>
+#include <cmath>
+#include <math.h>
+#include <TMath.h>
+#include <TDatabasePDG.h>
+#include <TParticlePDG.h>
+
+using namespace HepMC3;
+
+// Generate single electron as input to the Insert simulation.
+// --
+// We generate events with a constant polar angle with respect to
+// the proton direction and then rotate so that the events are given
+// in normal lab coordinate system
+// --
+void gen_particles(
+                    int n_events = 1000, 
+                    const char* out_fname = "gen_particles.hepmc", 
+                    TString particle_name = "e-",
+                    double th_min = 3., // Minimum polar angle, in degrees
+		    double th_max = 3., // Maximum polar angle, in degrees
+		    double phi_min = 0., // Minimum azimuthal angle, in degrees
+                    double phi_max = 360., // Maximum azimuthal angle, in degrees
+                    double p = 10.,  // Momentum in GeV/c
+		    int dist = 0,  //Momentum distribution: 0=fixed, 1=uniform, 2=Gaussian
+		    int useCrossingAngle=1  // 0= no rotation, 1 = -25 mrad
+                  )
+{ 
+  WriterAscii hepmc_output(out_fname);
+  int events_parsed = 0;
+  GenEvent evt(Units::GEV, Units::MM);
+
+  // Random number generator
+  TRandom3 *r1 = new TRandom3(0); //Use time as random seed
+
+  // Getting generated particle information
+  TDatabasePDG *pdg = new TDatabasePDG();
+  TParticlePDG *particle = pdg->GetParticle(particle_name);
+  const double mass = particle->Mass();
+  const int pdgID = particle->PdgCode();
+
+  for (events_parsed = 0; events_parsed < n_events; events_parsed++) {
+
+    //Set the event number
+    evt.set_event_number(events_parsed);
+
+    // FourVector(px,py,pz,e,pdgid,status)
+    // type 4 is beam
+    // pdgid 11 - electron
+    // pdgid 111 - pi0
+    // pdgid 2212 - proton
+    GenParticlePtr p1 =
+        std::make_shared<GenParticle>(FourVector(0.0, 0.0, 10.0, 10.0), 11, 4);
+    GenParticlePtr p2 = std::make_shared<GenParticle>(
+        FourVector(0.0, 0.0, 0.0, 0.938), 2212, 4);
+
+    // Define momentum with respect to proton direction
+    double phi   = r1->Uniform(phi_min*TMath::DegToRad(),phi_max*TMath::DegToRad());
+    double th    = r1->Uniform(th_min*TMath::DegToRad(),th_max*TMath::DegToRad());
+
+    //Total momentum distribution
+    double pevent = -1;
+    if(dist==0){ //fixed
+	pevent = p;
+    }
+    else if(dist==1){ //Uniform: +-50% variation
+	pevent = p*(1. + r1->Uniform(-0.5,0.5) );
+    }
+    else if(dist==2){  //Gaussian: Sigma = 0.1*mean
+	while(pevent<0) //Avoid negative values
+		pevent = r1->Gaus(p,0.1*p);
+    }
+
+    double px    = pevent * std::cos(phi) * std::sin(th);
+    double py    = pevent * std::sin(phi) * std::sin(th);
+    double pz    = pevent * std::cos(th);
+    TVector3 pvec(px,py,pz); 
+
+    //Rotate to lab coordinate system
+    double cross_angle = -25./1000.*useCrossingAngle; //in Rad
+    TVector3 pbeam_dir(sin(cross_angle),0,cos(cross_angle)); //proton beam direction
+    pvec.RotateY(-pbeam_dir.Theta()); // Theta is returned positive, beam in negative X
+    // type 1 is final state
+    // pdgid 11 - electron 0.510 MeV/c^2
+    GenParticlePtr p3 = std::make_shared<GenParticle>(
+        FourVector(
+            pvec.X(), pvec.Y(), pvec.Z(),
+            sqrt(pevent*pevent + (mass * mass))),
+        pdgID, 1);
+
+    //If wanted, set non-zero vertex
+    double vx = 0.;
+    double vy = 0.;
+    double vz = 0.;
+    double vt = 0.;
+
+    GenVertexPtr v1 = std::make_shared<GenVertex>();
+    evt.shift_position_by(FourVector(vx, vy, vz, vt));
+    v1->add_particle_in(p1);
+    v1->add_particle_in(p2);
+
+    v1->add_particle_out(p3);
+    evt.add_vertex(v1);
+
+    if (events_parsed == 0) {
+      std::cout << "First event: " << std::endl;
+      Print::listing(evt);
+    }
+
+    hepmc_output.write_event(evt);
+    if (events_parsed % 100 == 0) {
+      std::cout << "Event: " << events_parsed << std::endl;
+    }
+    evt.clear();
+  }
+  hepmc_output.close();
+  std::cout << "Events parsed and written: " << events_parsed << std::endl;
+}

benchmarks/insert_tau/analysis/tau_plots.py

@@ -0,0 +1,154 @@
+import numpy as np, pandas as pd, matplotlib.pyplot as plt, matplotlib as mpl, awkward as ak, sys
+import mplhep as hep
+hep.style.use("CMS")
+
+plt.rcParams['figure.facecolor']='white'
+plt.rcParams['savefig.facecolor']='white'
+plt.rcParams['savefig.bbox']='tight'
+
+plt.rcParams["figure.figsize"] = (7, 7)
+
+config=sys.argv[1].split("/")[1]  #results/{config}/{benchmark_name}
+outdir=sys.argv[1]+"/"
+try:
+    import os
+    os.mkdir(outdir[:-1])
+except:
+    pass
+
+import uproot as ur
+arrays_sim={}
+momenta=20, 30, 40, 50, 60,80,100
+for p in momenta:
+    arrays_sim[p] = ur.concatenate({
+        f'sim_output/insert_tau/{config}_rec_tau-_{p}GeV_{index}.edm4eic.root': 'events'
+        for index in range(5)
+    })
+
+
+for a in arrays_sim.values():
+    #recon
+    Etot=0
+    px=0
+    py=0
+    pz=0
+    for det in "HcalEndcapPInsert", "EcalEndcapPInsert", "EcalEndcapP", "LFHCAL":
+
+        E=a[f'{det}Clusters.energy']
+
+        #todo apply corrections depending on whether this is an electromagnetic or hadronic shower.  
+
+        x=a[f'{det}Clusters.position.x']
+        y=a[f'{det}Clusters.position.y']
+        z=a[f'{det}Clusters.position.z']
+        r=np.sqrt(x**2+y**2+z**2)
+        Etot=Etot+np.sum(E, axis=-1)
+        px=px+np.sum(E*x/r,axis=-1)
+        py=py+np.sum(E*y/r,axis=-1)
+        pz=pz+np.sum(E*z/r,axis=-1)
+
+    a['jet_p_recon']=np.sqrt(px**2+py**2+pz**2)
+    a['jet_E_recon']=Etot
+
+    a['jet_theta_recon']=np.arctan2(np.hypot(px*np.cos(-.025)-pz*np.sin(-.025),py), 
+                                    pz*np.cos(-.025)+px*np.sin(-.025))
+
+    #truth
+    m=a['MCParticles.mass'][::,2:]
+    px=a['MCParticles.momentum.x'][::,2:]
+    py=a['MCParticles.momentum.y'][::,2:]
+    pz=a['MCParticles.momentum.z'][::,2:]
+    E=np.sqrt(m**2+px**2+py**2+pz**2)
+    status=a['MCParticles.simulatorStatus'][::,2:]
+    PDG=a['MCParticles.PDG'][::,2:]
+
+    #find the hadronic part: initial-state tau - all leptons
+    selection=1*(PDG==15)-1*(np.abs(PDG)==16)
+    is_hadronic=1*(np.sum((PDG==-14)+(PDG==-12), axis=-1)==0)
+
+    px_hfs, py_hfs, pz_hfs= np.sum(px*selection,axis=-1)*is_hadronic,np.sum(py*selection,axis=-1)*is_hadronic, np.sum(pz*selection,axis=-1)*is_hadronic
+
+    a['hfs_p_truth']=np.sqrt(px_hfs**2+py_hfs**2+pz_hfs**2)
+    a['hfs_E_truth']=np.sum(E*selection,axis=-1)*is_hadronic
+
+
+    a['hfs_theta_truth']=np.arctan2(np.hypot(px_hfs*np.cos(-.025)-pz_hfs*np.sin(-.025),py_hfs), 
+                                    pz_hfs*np.cos(-.025)+px_hfs*np.sin(-.025))
+    a['hfs_eta_truth']=-np.log(np.tan(a['hfs_theta_truth']/2))
+    a['n_mu']=np.sum(np.abs(PDG)==13, axis=-1)
+    a['n_e']=np.sum(np.abs(PDG)==13, axis=-1)
+    a['hfs_mass_truth']=np.sqrt(a['hfs_E_truth']**2-a['hfs_p_truth']**2)
+
+for a in arrays_sim.values():
+    selection=(a['hfs_eta_truth']>3.1) & (a['hfs_eta_truth']<3.8)\
+            &(a['n_mu']==0)&(a['n_e']==0)&(a['hfs_mass_truth']>.140)&(a['jet_E_recon']>0)
+
+Etruth=[]
+Erecon=[]
+
+theta_truth=[]
+theta_recon=[]
+
+eta_max=3.7
+eta_min=3.3
+for a in arrays_sim.values():
+    selection=(a['hfs_eta_truth']>eta_min) & (a['hfs_eta_truth']<eta_max)\
+            &(a['n_mu']==0)&(a['n_e']==0)&(a['hfs_mass_truth']>.140)&(a['jet_E_recon']>1)
+    theta_truth=np.concatenate((theta_truth,a['hfs_theta_truth'][selection]))
+    theta_recon=np.concatenate((theta_recon,a['jet_theta_recon'][selection]))
+    Etruth=np.concatenate((Etruth,a['hfs_E_truth'][selection]))
+    Erecon=np.concatenate((Erecon,a['jet_E_recon'][selection]))
+
+plt.figure()
+plt.scatter(theta_truth, theta_recon, 1)
+plt.xlabel("$\\theta^{hfs}_{\\rm truth}$ [rad]")
+plt.ylabel("$\\theta^{hfs}_{\\rm rec}$ [rad]")
+plt.title(f"$E_{{\\tau}}$=20-100 GeV, ${eta_min}<\\eta_{{hfs}}<{eta_max}$")
+plt.plot([0.04,0.1], [0.04, 0.1], color='tab:orange')
+plt.ylim(0, 0.15)
+plt.savefig(outdir+"/theta_scatter.pdf")
+
+plt.figure()
+plt.scatter(Etruth, Erecon, 1)
+plt.xlabel("$E^{hfs}_{\\rm truth}$ [GeV]")
+plt.ylabel("$E^{hfs}_{\\rm rec}$ [GeV]")
+plt.title(f"$E_{{\\tau}}$=20-100 GeV, ${eta_min}<\\eta_{{hfs}}<{eta_max}$")
+plt.plot((0,100), (0, 100), color='tab:orange')
+plt.savefig(outdir+"/energy_scatter.pdf")
+
+def gauss(x, A,mu, sigma):
+    return A * np.exp(-(x-mu)**2/(2*sigma**2))
+from scipy.optimize import curve_fit
+
+res=[]
+dres=[]
+emid=[]
+ew=[]
+partitions=(20,30, 40, 60,80,100)
+for emin, emax in zip(partitions[:-1], partitions[1:]):
+
+    y,x = np.histogram((theta_recon-theta_truth)[(Etruth>emin)&(Etruth<emax)], bins=100, range=(-0.03,0.03))
+    bc=(x[1:]+x[:-1])/2
+    slc=abs(bc)<0.5
+    # try:
+    p0=(100, 0, 0.15)
+    fnc=gauss
+    sigma=np.sqrt(y[slc])+(y[slc]==0)
+
+    coeff, var_matrix = curve_fit(fnc, list(bc[slc]), list(y[slc]), p0=p0, sigma=list(sigma), maxfev=10000)
+    res.append(abs(coeff[2]))
+    dres.append(np.sqrt(var_matrix[2][2]))
+    emid.append((emin+emax)/2)
+    ew.append((emax-emin)/2)
+plt.errorbar(emid, 1000*np.array(res),1000*np.array(dres), ew, ls='', label=f'{eta_min}<$\\eta_{{hfs}}$<{eta_max}')
+plt.xlabel('$E_{hfs}$ [GeV]')
+plt.ylabel('$\\theta$ resolution [mrad]')
+plt.ylim(0)
+
+fnc=lambda E,B:B/E
+p0=[1,]
+coeff, var_matrix = curve_fit(fnc, emid, res, p0=p0, sigma=list(dres), maxfev=10000)
+xx=np.linspace(10, 100, 100)
+plt.plot(xx, 1000*fnc(xx, *coeff), label=f"fit: ${coeff[0]:.2f}/E$ mrad")
+plt.legend()
+plt.savefig(outdir+"/theta_res.pdf")