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1<chapter name="Onia Processes">
2
3<h2>Onia Processes</h2>
4
5Production of J/psi or Upsilon, directly and via chi states and the
6colour-octet mechanism.
7In each process the square-bracketed expression specifies the state
8in spectroscopic notation, <ei>(2S+1) L J</ei>, followed by
9<ei>(1)</ei> for colour-singlet states and <ei>(8)</ei> for
10colour-octet ditto.
11
12<p/>
13The original Fortran code for these processes has been contributed
14by Stefan Wolf [unpublished]. For the C++ version only the unpolarized
15expressions are retained, since the theoretical predictions of the
16colour-octet model anyway do not agree with the experimental
17observations. Furthermore, the polarization effects are modest,
18so isotropic decay is not a bad starting point. Such an event sample
19can afterwards be reweighted at will by the user, to test various
20assumptions.
21
22<p/>
23The description of 
24<aloc href="TimelikeShowers">final-state radiation</aloc>
25is in this case based on some further model assumptions.
26
27<p/>
28Most of the processes below are divergent in the limit <ei>pT -> 0</ei>,
29and therefore a <ei>pTmin</ei> scale should be set. Comparisons with
30data indicate that this divergence can be tamed the same way as for
31the normal QCD <ei>2 -> 2</ei> cross sections <ref>Bar06,Kra08</ref>,
32which makes sense, since they are all dominated by the same kind of
33<ei>t</ei>-channel gluon exchange. It is therefore possible to use the
34<aloc href="UserHooks">SuppressSmallPT</aloc> user hook to impose a
35reweighting that cancels the low-<ei>pT</ei> divergence.
36
37<p/>
38An eikonalized description of these processes is included in the
39multiparton-interactions framework. Here the low-<ei>pT</ei> dampening
40is automatic, and additionally the framework is more consistent
41(e.g. with respect to energy-momentum constraints and the
42impact-parameter description) for events where the onium production
43is not the hardest subprocess, as would often be the case in the
44low-<ei>pT</ei> limit.
45
46<h3>Charmonium</h3>
47
48<flag name="Charmonium:all" default="off">
49Common switch for the group of charmonium production.
50</flag>
51
52<flag name="Charmonium:gg2QQbar[3S1(1)]g" default="off">
53<ei>g g -> ccbar[3S1(1)] g</ei>.
54Code 401.
55</flag>
56
57<flag name="Charmonium:gg2QQbar[3P0(1)]g" default="off">
58<ei>g g -> ccbar[3P0(1)] g</ei>.
59Code 402.
60</flag>
61
62<flag name="Charmonium:gg2QQbar[3P1(1)]g" default="off">
63<ei>g g -> ccbar[3P1(1)] g</ei>.
64Code 403.
65</flag>
66
67<flag name="Charmonium:gg2QQbar[3P2(1)]g" default="off">
68<ei>g g -> ccbar[3P2(1)] g</ei>.
69Code 404.
70</flag>
71
72<flag name="Charmonium:qg2QQbar[3P0(1)]q" default="off">
73<ei>q g -> ccbar[3P0(1)] q</ei>.
74Code 405.
75</flag>
76
77<flag name="Charmonium:qg2QQbar[3P1(1)]q" default="off">
78<ei>q g -> ccbar[3P1(1)] q</ei>.
79Code 406.
80</flag>
81
82<flag name="Charmonium:qg2QQbar[3P2(1)]q" default="off">
83<ei>q g -> ccbar[3P2(1)] q</ei>.
84Code 407.
85</flag>
86
87<flag name="Charmonium:qqbar2QQbar[3P0(1)]g" default="off">
88<ei>q qbar -> ccbar[3P0(1)] g</ei>.
89Code 408.
90</flag>
91
92<flag name="Charmonium:qqbar2QQbar[3P1(1)]g" default="off">
93<ei>q qbar -> ccbar[3P1(1)] g</ei>.
94Code 409.
95</flag>
96
97<flag name="Charmonium:qqbar2QQbar[3P2(1)]g" default="off">
98<ei>q qbar -> ccbar[3P2(1)] g</ei>.
99Code 410.
100</flag>
101
102<flag name="Charmonium:gg2QQbar[3S1(8)]g" default="off">
103<ei>g g -> ccbar[3S1(8)] g</ei>.
104Code 411.
105</flag>
106
107<flag name="Charmonium:gg2QQbar[1S0(8)]g" default="off">
108<ei>g g -> ccbar[3S1(8)] g</ei>.
109Code 412.
110</flag>
111
112<flag name="Charmonium:gg2QQbar[3PJ(8)]g" default="off">
113<ei>g g -> ccbar[3S1(8)] g</ei>.
114Code 413.
115</flag>
116
117<flag name="Charmonium:qg2QQbar[3S1(8)]q" default="off">
118<ei>q g -> ccbar[3S1(8)] q</ei>.
119Code 414.
120</flag>
121
122<flag name="Charmonium:qg2QQbar[1S0(8)]q" default="off">
123<ei>q g -> ccbar[3S1(8)] q</ei>.
124Code 415.
125</flag>
126
127<flag name="Charmonium:qg2QQbar[3PJ(8)]q" default="off">
128<ei>q g -> ccbar[3S1(8)] q</ei>.
129Code 416.
130</flag>
131
132<flag name="Charmonium:qqbar2QQbar[3S1(8)]g" default="off">
133<ei>q qbar -> ccbar[3S1(8)] g</ei>.
134Code 417.
135</flag>
136
137<flag name="Charmonium:qqbar2QQbar[1S0(8)]g" default="off">
138<ei>q qbar -> ccbar[3S1(8)] g</ei>.
139Code 418.
140</flag>
141
142<flag name="Charmonium:qqbar2QQbar[3PJ(8)]g" default="off">
143<ei>q qbar -> ccbar[3S1(8)] g</ei>.
144Code 419.
145</flag>
146
147<h3>Bottomonium</h3>
148
149<flag name="Bottomonium:all" default="off">
150Common switch for the group of charmonium production.
151</flag>
152
153<flag name="Bottomonium:gg2QQbar[3S1(1)]g" default="off">
154<ei>g g -> bbbar[3S1(1)] g</ei>.
155Code 501.
156</flag>
157
158<flag name="Bottomonium:gg2QQbar[3P0(1)]g" default="off">
159<ei>g g -> bbbar[3P0(1)] g</ei>.
160Code 502.
161</flag>
162
163<flag name="Bottomonium:gg2QQbar[3P1(1)]g" default="off">
164<ei>g g -> bbbar[3P1(1)] g</ei>.
165Code 503.
166</flag>
167
168<flag name="Bottomonium:gg2QQbar[3P2(1)]g" default="off">
169<ei>g g -> bbbar[3P2(1)] g</ei>.
170Code 504.
171</flag>
172
173<flag name="Bottomonium:qg2QQbar[3P0(1)]q" default="off">
174<ei>q g -> bbbar[3P0(1)] q</ei>.
175Code 505.
176</flag>
177
178<flag name="Bottomonium:qg2QQbar[3P1(1)]q" default="off">
179<ei>q g -> bbbar[3P1(1)] q</ei>.
180Code 506.
181</flag>
182
183<flag name="Bottomonium:qg2QQbar[3P2(1)]q" default="off">
184<ei>q g -> bbbar[3P2(1)] q</ei>.
185Code 507.
186</flag>
187
188<flag name="Bottomonium:qqbar2QQbar[3P0(1)]g" default="off">
189<ei>q qbar -> bbbar[3P0(1)] g</ei>.
190Code 508.
191</flag>
192
193<flag name="Bottomonium:qqbar2QQbar[3P1(1)]g" default="off">
194<ei>q qbar -> bbbar[3P1(1)] g</ei>.
195Code 509.
196</flag>
197
198<flag name="Bottomonium:qqbar2QQbar[3P2(1)]g" default="off">
199<ei>q qbar -> bbbar[3P2(1)] g</ei>.
200Code 510.
201</flag>
202
203<flag name="Bottomonium:gg2QQbar[3S1(8)]g" default="off">
204<ei>g g -> bbbar[3S1(8)] g</ei>.
205Code 511.
206</flag>
207
208<flag name="Bottomonium:gg2QQbar[1S0(8)]g" default="off">
209<ei>g g -> bbbar[3S1(8)] g</ei>.
210Code 512.
211</flag>
212
213<flag name="Bottomonium:gg2QQbar[3PJ(8)]g" default="off">
214<ei>g g -> bbbar[3S1(8)] g</ei>.
215Code 513.
216</flag>
217
218<flag name="Bottomonium:qg2QQbar[3S1(8)]q" default="off">
219<ei>q g -> bbbar[3S1(8)] q</ei>.
220Code 514.
221</flag>
222
223<flag name="Bottomonium:qg2QQbar[1S0(8)]q" default="off">
224<ei>q g -> bbbar[3S1(8)] q</ei>.
225Code 515.
226</flag>
227
228<flag name="Bottomonium:qg2QQbar[3PJ(8)]q" default="off">
229<ei>q g -> bbbar[3S1(8)] q</ei>.
230Code 516.
231</flag>
232
233<flag name="Bottomonium:qqbar2QQbar[3S1(8)]g" default="off">
234<ei>q qbar -> bbbar[3S1(8)] g</ei>.
235Code 517.
236</flag>
237
238<flag name="Bottomonium:qqbar2QQbar[1S0(8)]g" default="off">
239<ei>q qbar -> bbbar[3S1(8)] g</ei>.
240Code 518.
241</flag>
242
243<flag name="Bottomonium:qqbar2QQbar[3PJ(8)]g" default="off">
244<ei>q qbar -> bbbar[3S1(8)] g</ei>.
245Code 519.
246</flag>
247
248<h3>Onium matrix elements</h3>
249
250The implementation of charmonium and bottomonium production, including
251the colour-octet production mechanism, requires information on NRQCD
252matrix elements for the various wavefunctions involved. Default values
253for these are encoded in the following ten variables. They
254are taken from <ref>Nas00</ref>; see also <ref>Bar06</ref>.
255
256<parm name="Charmonium:OJpsi3S11" default="1.16" min="0.0">
257<ei>&lt;O(J/psi)[3S1(1)]&gt;</ei>.
258</parm>
259
260<parm name="Charmonium:OJpsi3S18" default="0.0119" min="0.0">
261<ei>&lt;O(J/psi)[3S1(8)]&gt;</ei>.
262</parm>
263
264<parm name="Charmonium:OJpsi1S08" default="0.01" min="0.0">
265<ei>&lt;O(J/psi)[1S0(8)]&gt;</ei>.
266</parm>
267
268<parm name="Charmonium:OJpsi3P08" default="0.01" min="0.0">
269<ei>&lt;O(J/psi)[3P0(8)]&gt;/m_c^2</ei>.
270</parm>
271
272<parm name="Charmonium:Ochic03P01" default="0.05" min="0.0">
273<ei>&lt;O(chi_c0)[3P0(8)]&gt;/m_c^2</ei>.
274</parm>
275
276<parm name="Bottomonium:OUpsilon3S11" default="9.28" min="0.0">
277<ei>&lt;O(Upsilon)[3S1(1)]&gt;</ei>.
278</parm>
279
280<parm name="Bottomonium:OUpsilon3S18" default="0.15" min="0.0">
281<ei>&lt;O(Upsilon)[3S1(8)]&gt;</ei>.
282</parm>
283
284<parm name="Bottomonium:OUpsilon1S08" default="0.02" min="0.0">
285<ei>&lt;O(Upsilon)[1S0(8)]&gt;</ei>.
286</parm>
287
288<parm name="Bottomonium:OUpsilon3P08" default="0.02" min="0.0">
289<ei>&lt;O(Upsilon)[3P0(8)]&gt;/m_b^2</ei>.
290</parm>
291
292<parm name="Bottomonium:Ochib03P01" default="0.085" min="0.0">
293<ei>&lt;O(chi_b0)[3P0(8)]&gt;/m_b^2</ei>.
294</parm>
295
296
297</chapter>
298
299<!-- Copyright (C) 2012 Torbjorn Sjostrand -->
300
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