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zdemo.C
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1/// \file
2/// \ingroup tutorial_graphs
3/// \notebook
4/// This macro is an example of graphs in log scales with annotations.
5///
6/// The presented results are predictions of invariant cross-section
7/// of Direct Photons produced at RHIC energies, based on the universality of
8/// scaling function H(z).
9///
10/// These Figures were published in JINR preprint E2-98-64, Dubna,
11/// 1998 and submitted to CPC.
12///
13/// Note that the way greek symbols, super/subscripts are obtained
14/// illustrate the current limitations of Root in this area.
15///
16/// \macro_image
17/// \macro_code
18///
19/// \authors Michael Tokarev and Elena Potrebenikova (JINR Dubna)
20
21#include "TCanvas.h"
22#include "TPad.h"
23#include "TPaveLabel.h"
24#include "TLatex.h"
25#include "TGraph.h"
26#include "TFrame.h"
27
28#ifdef HZ
29#undef HZ
30#endif
31
32const Int_t NMAX = 20;
33Int_t NLOOP;
34Float_t Z[NMAX], HZ[NMAX], PT[NMAX], INVSIG[NMAX];
35
36void hz_calc(Float_t, Float_t, Float_t, Float_t, Float_t, Float_t);
37
38//__________________________________________________________________
39void zdemo()
40{
41
42 Float_t energ;
43 Float_t dens;
44 Float_t tgrad;
45 Float_t ptmin;
46 Float_t ptmax;
47 Float_t delp;
48
49 // Create a new canvas.
50 TCanvas *c1 = new TCanvas("zdemo",
51 "Monte Carlo Study of Z scaling",10,40,800,600);
52 c1->Range(0,0,25,18);
53 c1->SetFillColor(40);
54
55 TPaveLabel *pl = new TPaveLabel(1,16.3,24,17.5,"Z-scaling of \
56 Direct Photon Productions in pp Collisions at RHIC Energies","br");
57 pl->SetFillColor(18);
58 pl->SetTextFont(32);
59 pl->SetTextColor(49);
60 pl->Draw();
61
62 TLatex *t = new TLatex();
63 t->SetTextFont(32);
64 t->SetTextColor(1);
65 t->SetTextSize(0.03);
66 t->SetTextAlign(12);
67 t->DrawLatex(3.1,15.5,"M.Tokarev, E.Potrebenikova ");
68 t->DrawLatex(14.,15.5,"JINR preprint E2-98-64, Dubna, 1998 ");
69
70 TPad *pad1 = new TPad("pad1","This is pad1",0.02,0.02,0.48,0.83,33);
71 TPad *pad2 = new TPad("pad2","This is pad2",0.52,0.02,0.98,0.83,33);
72
73 pad1->Draw();
74 pad2->Draw();
75
76//
77// Cross-section of direct photon production in pp collisions
78// at 500 GeV vs Pt
79//
80 energ = 63;
81 dens = 1.766;
82 tgrad = 90.;
83 ptmin = 4.;
84 ptmax = 24.;
85 delp = 2.;
86 hz_calc(energ, dens, tgrad, ptmin, ptmax, delp);
87 pad1->cd();
88 pad1->Range(-0.255174,-19.25,2.29657,-6.75);
89 pad1->SetLogx();
90 pad1->SetLogy();
91
92 // create a 2-d histogram to define the range
93 pad1->DrawFrame(1,1e-18,110,1e-8);
94 pad1->GetFrame()->SetFillColor(19);
95 t = new TLatex();
96 t->SetNDC();
97 t->SetTextFont(62);
98 t->SetTextColor(36);
99 t->SetTextSize(0.08);
100 t->SetTextAlign(12);
101 t->DrawLatex(0.6,0.85,"p - p");
102
103 t->SetTextSize(0.05);
104 t->DrawLatex(0.6,0.79,"Direct #gamma");
105 t->DrawLatex(0.6,0.75,"#theta = 90^{o}");
106
107 t->DrawLatex(0.20,0.45,"Ed^{3}#sigma/dq^{3}");
108 t->DrawLatex(0.18,0.40,"(barn/Gev^{2})");
109
110 t->SetTextSize(0.045);
112 t->DrawLatex(0.22,0.260,"#sqrt{s} = 63(GeV)");
113 t->SetTextColor(kRed);
114 t->DrawLatex(0.22,0.205,"#sqrt{s} = 200(GeV)");
115 t->SetTextColor(6);
116 t->DrawLatex(0.22,0.15,"#sqrt{s} = 500(GeV)");
117
118 t->SetTextSize(0.05);
119 t->SetTextColor(1);
120 t->DrawLatex(0.6,0.06,"q_{T} (Gev/c)");
121
122 TGraph *gr1 = new TGraph(NLOOP,PT,INVSIG);
123
124 gr1->SetLineColor(38);
125 gr1->SetMarkerColor(kBlue);
126 gr1->SetMarkerStyle(21);
127 gr1->SetMarkerSize(1.1);
128 gr1->Draw("LP");
129
130//
131// Cross-section of direct photon production in pp collisions
132// at 200 GeV vs Pt
133//
134
135 energ = 200;
136 dens = 2.25;
137 tgrad = 90.;
138 ptmin = 4.;
139 ptmax = 64.;
140 delp = 6.;
141 hz_calc(energ, dens, tgrad, ptmin, ptmax, delp);
142
143 TGraph *gr2 = new TGraph(NLOOP,PT,INVSIG);
144 gr2->SetLineColor(38);
145 gr2->SetMarkerColor(kRed);
146 gr2->SetMarkerStyle(29);
147 gr2->SetMarkerSize(1.5);
148 gr2->Draw("LP");
149
150//
151// Cross-section of direct photon production in pp collisions
152// at 500 GeV vs Pt
153//
154 energ = 500;
155 dens = 2.73;
156 tgrad = 90.;
157 ptmin = 4.;
158 ptmax = 104.;
159 delp = 10.;
160 hz_calc(energ, dens, tgrad, ptmin, ptmax, delp);
161
162 TGraph *gr3 = new TGraph(NLOOP,PT,INVSIG);
163
164 gr3->SetLineColor(38);
165 gr3->SetMarkerColor(6);
166 gr3->SetMarkerStyle(8);
167 gr3->SetMarkerSize(1.1);
168 gr3->Draw("LP");
169
170 Float_t *dum = 0;
171 TGraph *graph = new TGraph(1,dum,dum);
172 graph->SetMarkerColor(kBlue);
173 graph->SetMarkerStyle(21);
174 graph->SetMarkerSize(1.1);
175 graph->SetPoint(0,1.7,1.e-16);
176 graph->Draw("LP");
177
178 graph = new TGraph(1,dum,dum);
179 graph->SetMarkerColor(kRed);
180 graph->SetMarkerStyle(29);
181 graph->SetMarkerSize(1.5);
182 graph->SetPoint(0,1.7,2.e-17);
183 graph->Draw("LP");
184
185 graph = new TGraph(1,dum,dum);
186 graph->SetMarkerColor(6);
187 graph->SetMarkerStyle(8);
188 graph->SetMarkerSize(1.1);
189 graph->SetPoint(0,1.7,4.e-18);
190 graph->Draw("LP");
191
192 pad2->cd();
193 pad2->Range(-0.43642,-23.75,3.92778,-6.25);
194 pad2->SetLogx();
195 pad2->SetLogy();
196
197 pad2->DrawFrame(1,1e-22,3100,1e-8);
198 pad2->GetFrame()->SetFillColor(19);
199
200 TGraph *gr = new TGraph(NLOOP,Z,HZ);
201 gr->SetTitle("HZ vs Z");
202 gr->SetFillColor(19);
203 gr->SetLineColor(9);
204 gr->SetMarkerColor(50);
205 gr->SetMarkerStyle(29);
206 gr->SetMarkerSize(1.5);
207 gr->Draw("LP");
208
209 t = new TLatex();
210 t->SetNDC();
211 t->SetTextFont(62);
212 t->SetTextColor(36);
213 t->SetTextSize(0.08);
214 t->SetTextAlign(12);
215 t->DrawLatex(0.6,0.85,"p - p");
216
217 t->SetTextSize(0.05);
218 t->DrawLatex(0.6,0.79,"Direct #gamma");
219 t->DrawLatex(0.6,0.75,"#theta = 90^{o}");
220
221 t->DrawLatex(0.70,0.55,"H(z)");
222 t->DrawLatex(0.68,0.50,"(barn)");
223
224 t->SetTextSize(0.045);
225 t->SetTextColor(46);
226 t->DrawLatex(0.20,0.30,"#sqrt{s}, GeV");
227 t->DrawLatex(0.22,0.26,"63");
228 t->DrawLatex(0.22,0.22,"200");
229 t->DrawLatex(0.22,0.18,"500");
230
231 t->SetTextSize(0.05);
232 t->SetTextColor(1);
233 t->DrawLatex(0.88,0.06,"z");
234
235 c1->Modified();
236 c1->Update();
237}
238
239void hz_calc(Float_t ENERG, Float_t DENS, Float_t TGRAD, Float_t PTMIN,
240 Float_t PTMAX, Float_t DELP)
241{
242 Int_t I;
243
244 Float_t GM1 = 0.00001;
245 Float_t GM2 = 0.00001;
246 Float_t A1 = 1.;
247 Float_t A2 = 1.;
248 Float_t ALX = 2.;
249 Float_t BETA = 1.;
250 Float_t KF1 = 8.E-7;
251 Float_t KF2 = 5.215;
252
253 Float_t MN = 0.9383;
254 Float_t DEGRAD=0.01745329;
255
256 Float_t EB1, EB2, PB1, PB2, MB1, MB2, M1, M2;
257 Float_t DNDETA;
258
259 Float_t P1P2, P1P3, P2P3;
260 Float_t Y1, Y2, S, SMIN, SX1, SX2, SX1X2, DELM;
261 Float_t Y1X1, Y1X2, Y2X1, Y2X2, Y2X1X2, Y1X1X2;
262 Float_t KX1, KX2, ZX1, ZX2;
263 Float_t H1;
264
265 Float_t PTOT, THET, ETOT, X1, X2;
266
267 DNDETA= DENS;
268 MB1 = MN*A1;
269 MB2 = MN*A2;
270 EB1 = ENERG/2.*A1;
271 EB2 = ENERG/2.*A2;
272 M1 = GM1;
273 M2 = GM2;
274 THET = TGRAD*DEGRAD;
275 NLOOP = (PTMAX-PTMIN)/DELP;
276
277 for (I=0; I<NLOOP;I++) {
278 PT[I]=PTMIN+I*DELP;
279 PTOT = PT[I]/sin(THET);
280
281 ETOT = sqrt(M1*M1 + PTOT*PTOT);
282 PB1 = sqrt(EB1*EB1 - MB1*MB1);
283 PB2 = sqrt(EB2*EB2 - MB2*MB2);
284 P2P3 = EB2*ETOT+PB2*PTOT*cos(THET);
285 P1P2 = EB2*EB1+PB2*PB1;
286 P1P3 = EB1*ETOT-PB1*PTOT*cos(THET);
287
288 X1 = P2P3/P1P2;
289 X2 = P1P3/P1P2;
290 Y1 = X1+sqrt(X1*X2*(1.-X1)/(1.-X2));
291 Y2 = X2+sqrt(X1*X2*(1.-X2)/(1.-X1));
292
293 S = (MB1*MB1)+2.*P1P2+(MB2*MB2);
294 SMIN = 4.*((MB1*MB1)*(X1*X1) +2.*X1*X2*P1P2+(MB2*MB2)*(X2*X2));
295 SX1 = 4.*( 2*(MB1*MB1)*X1+2*X2*P1P2);
296 SX2 = 4.*( 2*(MB2*MB2)*X2+2*X1*P1P2);
297 SX1X2= 4.*(2*P1P2);
298 DELM = pow((1.-Y1)*(1.-Y2),ALX);
299
300 Z[I] = sqrt(SMIN)/DELM/pow(DNDETA,BETA);
301
302 Y1X1 = 1. +X2*(1-2.*X1)/(2.*(Y1-X1)*(1.-X2));
303 Y1X2 = X1*(1-X1)/(2.*(Y1-X1)*(1.-X2)*(1.-X2));
304 Y2X1 = X2*(1-X2)/(2.*(Y2-X2)*(1.-X1)*(1.-X1));
305 Y2X2 = 1. +X1*(1-2.*X2)/(2.*(Y2-X2)*(1.-X1));
306 Y2X1X2= Y2X1*( (1.-2.*X2)/(X2*(1-X2)) -( Y2X2-1.)/(Y2-X2));
307 Y1X1X2= Y1X2*( (1.-2.*X1)/(X1*(1-X1)) -( Y1X1-1.)/(Y1-X1));
308
309 KX1=-DELM*(Y1X1*ALX/(1.-Y1) + Y2X1*ALX/(1.-Y2));
310 KX2=-DELM*(Y2X2*ALX/(1.-Y2) + Y1X2*ALX/(1.-Y1));
311 ZX1=Z[I]*(SX1/(2.*SMIN)-KX1/DELM);
312 ZX2=Z[I]*(SX2/(2.*SMIN)-KX2/DELM);
313
314 H1=ZX1*ZX2;
315
316 HZ[I]=KF1/pow(Z[I],KF2);
317 INVSIG[I]=(HZ[I]*H1*16.)/S;
318
319 }
320}
#define e(i)
Definition RSha256.hxx:103
int Int_t
Definition RtypesCore.h:45
float Float_t
Definition RtypesCore.h:57
@ kRed
Definition Rtypes.h:66
@ kBlue
Definition Rtypes.h:66
double cos(double)
double pow(double, double)
double sqrt(double)
double sin(double)
#define DEGRAD
virtual void SetFillColor(Color_t fcolor)
Set the fill area color.
Definition TAttFill.h:37
virtual void SetLineColor(Color_t lcolor)
Set the line color.
Definition TAttLine.h:40
virtual void SetMarkerColor(Color_t mcolor=1)
Set the marker color.
Definition TAttMarker.h:38
virtual void SetMarkerStyle(Style_t mstyle=1)
Set the marker style.
Definition TAttMarker.h:40
virtual void SetMarkerSize(Size_t msize=1)
Set the marker size.
Definition TAttMarker.h:41
virtual void SetTextAlign(Short_t align=11)
Set the text alignment.
Definition TAttText.h:41
virtual void SetTextColor(Color_t tcolor=1)
Set the text color.
Definition TAttText.h:43
virtual void SetTextFont(Font_t tfont=62)
Set the text font.
Definition TAttText.h:45
virtual void SetTextSize(Float_t tsize=1)
Set the text size.
Definition TAttText.h:46
The Canvas class.
Definition TCanvas.h:23
A TGraph is an object made of two arrays X and Y with npoints each.
Definition TGraph.h:41
virtual void SetTitle(const char *title="")
Change (i.e.
Definition TGraph.cxx:2339
virtual void Draw(Option_t *chopt="")
Draw this graph with its current attributes.
Definition TGraph.cxx:769
To draw Mathematical Formula.
Definition TLatex.h:18
TLatex * DrawLatex(Double_t x, Double_t y, const char *text)
Make a copy of this object with the new parameters And copy object attributes.
Definition TLatex.cxx:1927
The most important graphics class in the ROOT system.
Definition TPad.h:26
TH1F * DrawFrame(Double_t xmin, Double_t ymin, Double_t xmax, Double_t ymax, const char *title="") override
Draw an empty pad frame with X and Y axis.
Definition TPad.cxx:1606
void Range(Double_t x1, Double_t y1, Double_t x2, Double_t y2) override
Set world coordinate system for the pad.
Definition TPad.cxx:5200
void SetLogy(Int_t value=1) override
Set Lin/Log scale for Y.
Definition TPad.cxx:5947
TVirtualPad * cd(Int_t subpadnumber=0) override
Set Current pad.
Definition TPad.cxx:603
TFrame * GetFrame() override
Get frame.
Definition TPad.cxx:2863
void Draw(Option_t *option="") override
Draw Pad in Current pad (re-parent pad if necessary).
Definition TPad.cxx:1299
void SetLogx(Int_t value=1) override
Set Lin/Log scale for X.
Definition TPad.cxx:5933
A Pave (see TPave) with a text centered in the Pave.
Definition TPaveLabel.h:20
virtual void Draw(Option_t *option="")
Draw this pavelabel with its current attributes.
virtual void SetNDC(Bool_t isNDC=kTRUE)
Set NDC mode on if isNDC = kTRUE, off otherwise.
Definition TText.cxx:813
return c1
Definition legend1.C:41
TGraphErrors * gr
Definition legend1.C:25
#define I(x, y, z)
RooArgSet S(const RooAbsArg &v1)
Definition graph.py:1
Definition zdemo.py:1