3 <title>New-Gauge-Boson Processes</title>
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30 <h2>New-Gauge-Boson Processes</h2>
32 This page contains the production of new <i>Z'^0</i> and
33 <i>W'^+-</i> gauge bosons, e.g. within the context of a new
34 <i>U(1)</i> or <i>SU(2)</i> gauge group, and also a
35 (rather speculative) horizontal gauge boson <i>R^0</i>.
36 Left-right-symmetry scenarios also contain new gauge bosons,
38 <?php $filepath = $_GET["filepath"];
39 echo "<a href='LeftRightSymmetryProcesses.php?filepath=".$filepath."' target='page'>";?>separately</a>.
43 This group only contains one subprocess, with the full
44 <i>gamma^*/Z^0/Z'^0</i> interference structure for couplings
45 to fermion pairs. It is possible to pick only a subset, e.g, only
46 the pure <i>Z'^0</i> piece. No higher-order processes are
47 available explicitly, but the ISR showers contain automatic
48 matching to the <i>Z'^0</i> + 1 jet matrix elements, as for
49 the corresponding <i>gamma^*/Z^0</i> process.
51 <br/><br/><strong>NewGaugeBoson:ffbar2gmZZprime</strong> <input type="radio" name="1" value="on"><strong>On</strong>
52 <input type="radio" name="1" value="off" checked="checked"><strong>Off</strong>
53 (<code>default = <strong>off</strong></code>)<br/>
54 Scattering <i>f fbar ->Z'^0</i>.
58 <br/><br/><table><tr><td><strong>Zprime:gmZmode </td><td> (<code>default = <strong>0</strong></code>; <code>minimum = 0</code>; <code>maximum = 6</code>)</td></tr></table>
59 Choice of full <ei>gamma^*/Z^0/Z'^0</ei> structure or not in
60 the above process. Note that, with the <ei>Z'^0</ei> part switched
61 off, this process is reduced to what already exists among
62 <aloc href="ElectroweakProcesses">electroweak processes</aloc>,
63 so those options are here only for crosschecks.
65 <input type="radio" name="2" value="0" checked="checked"><strong>0 </strong>: full <ei>gamma^*/Z^0/Z'^0</ei> structure, with interference included.<br/>
66 <input type="radio" name="2" value="1"><strong>1 </strong>: only pure <ei>gamma^*</ei> contribution.<br/>
67 <input type="radio" name="2" value="2"><strong>2 </strong>: only pure <ei>Z^0</ei> contribution.<br/>
68 <input type="radio" name="2" value="3"><strong>3 </strong>: only pure <ei>Z'^0</ei> contribution.<br/>
69 <input type="radio" name="2" value="4"><strong>4 </strong>: only the <ei>gamma^*/Z^0</ei> contribution, including interference.<br/>
70 <input type="radio" name="2" value="5"><strong>5 </strong>: only the <ei>gamma^*/Z'^0</ei> contribution, including interference.<br/>
71 <input type="radio" name="2" value="6"><strong>6 </strong>: only the <ei>Z^0/Z'^0</ei> contribution, including interference.<br/>
72 <br/><b>Note</b>: irrespective of the option used, the particle produced
73 will always be assigned code 32 for <ei>Z'^0</ei>, and open decay channels
74 is purely dictated by what is set for the <ei>Z'^0</ei>.
77 The couplings of the <i>Z'^0</i> to quarks and leptons can
78 either be assumed universal, i.e. generation-independent, or not.
79 In the former case eight numbers parametrize the vector and axial
80 couplings of down-type quarks, up-type quarks, leptons and neutrinos,
81 respectively. Depending on your assumed neutrino nature you may
82 want to restrict your freedom in that sector, but no limitations
83 are enforced by the program. The default corresponds to the same
84 couplings as that of the Standard Model <i>Z^0</i>, with axial
85 couplings <i>a_f = +-1</i> and vector couplings
86 <i>v_f = a_f - 4 e_f sin^2(theta_W)</i>, with
87 <i>sin^2(theta_W) = 0.23</i>. Without universality
88 the same eight numbers have to be set separately also for the
89 second and the third generation. The choice of fixed axial and
90 vector couplings implies a resonance width that increases linearly
91 with the <i>Z'^0</i> mass.
94 By a suitable choice of the parameters, it is possible to simulate
95 just about any imaginable <i>Z'^0</i> scenario, with full
96 interference effects in cross sections and decay angular
97 distributions and generation-dependent couplings; the default values
98 should mainly be viewed as placeholders. The conversion
99 from the coupling conventions in a set of different <i>Z'^0</i>
100 models in the literature to those used in PYTHIA is described by
101 <a href="http://www.hep.uiuc.edu/home/catutza/nota12.ps">C.
104 <br/><br/><strong>Zprime:universality</strong> <input type="radio" name="3" value="on" checked="checked"><strong>On</strong>
105 <input type="radio" name="3" value="off"><strong>Off</strong>
106 (<code>default = <strong>on</strong></code>)<br/>
107 If on then you need only set the first-generation couplings
108 below, and these are automatically also used for the second and
109 third generation. If off, then couplings can be chosen separately
114 Here are the couplings always valid for the first generation,
115 and normally also for the second and third by trivial analogy:
117 <br/><br/><table><tr><td><strong>Zprime:vd </td><td></td><td> <input type="text" name="4" value="-0.693" size="20"/> (<code>default = <strong>-0.693</strong></code>)</td></tr></table>
118 vector coupling of <i>d</i> quarks.
121 <br/><br/><table><tr><td><strong>Zprime:ad </td><td></td><td> <input type="text" name="5" value="-1." size="20"/> (<code>default = <strong>-1.</strong></code>)</td></tr></table>
122 axial coupling of <i>d</i> quarks.
125 <br/><br/><table><tr><td><strong>Zprime:vu </td><td></td><td> <input type="text" name="6" value="0.387" size="20"/> (<code>default = <strong>0.387</strong></code>)</td></tr></table>
126 vector coupling of <i>u</i> quarks.
129 <br/><br/><table><tr><td><strong>Zprime:au </td><td></td><td> <input type="text" name="7" value="1." size="20"/> (<code>default = <strong>1.</strong></code>)</td></tr></table>
130 axial coupling of <i>u</i> quarks.
133 <br/><br/><table><tr><td><strong>Zprime:ve </td><td></td><td> <input type="text" name="8" value="-0.08" size="20"/> (<code>default = <strong>-0.08</strong></code>)</td></tr></table>
134 vector coupling of <i>e</i> leptons.
137 <br/><br/><table><tr><td><strong>Zprime:ae </td><td></td><td> <input type="text" name="9" value="-1." size="20"/> (<code>default = <strong>-1.</strong></code>)</td></tr></table>
138 axial coupling of <i>e</i> leptons.
141 <br/><br/><table><tr><td><strong>Zprime:vnue </td><td></td><td> <input type="text" name="10" value="1." size="20"/> (<code>default = <strong>1.</strong></code>)</td></tr></table>
142 vector coupling of <i>nu_e</i> neutrinos.
145 <br/><br/><table><tr><td><strong>Zprime:anue </td><td></td><td> <input type="text" name="11" value="1." size="20"/> (<code>default = <strong>1.</strong></code>)</td></tr></table>
146 axial coupling of <i>nu_e</i> neutrinos.
150 Here are the further couplings that are specific for
151 a scenario with <code>Zprime:universality</code> swiched off:
153 <br/><br/><table><tr><td><strong>Zprime:vs </td><td></td><td> <input type="text" name="12" value="-0.693" size="20"/> (<code>default = <strong>-0.693</strong></code>)</td></tr></table>
154 vector coupling of <i>s</i> quarks.
157 <br/><br/><table><tr><td><strong>Zprime:as </td><td></td><td> <input type="text" name="13" value="-1." size="20"/> (<code>default = <strong>-1.</strong></code>)</td></tr></table>
158 axial coupling of <i>s</i> quarks.
161 <br/><br/><table><tr><td><strong>Zprime:vc </td><td></td><td> <input type="text" name="14" value="0.387" size="20"/> (<code>default = <strong>0.387</strong></code>)</td></tr></table>
162 vector coupling of <i>c</i> quarks.
165 <br/><br/><table><tr><td><strong>Zprime:ac </td><td></td><td> <input type="text" name="15" value="1." size="20"/> (<code>default = <strong>1.</strong></code>)</td></tr></table>
166 axial coupling of <i>c</i> quarks.
169 <br/><br/><table><tr><td><strong>Zprime:vmu </td><td></td><td> <input type="text" name="16" value="-0.08" size="20"/> (<code>default = <strong>-0.08</strong></code>)</td></tr></table>
170 vector coupling of <i>mu</i> leptons.
173 <br/><br/><table><tr><td><strong>Zprime:amu </td><td></td><td> <input type="text" name="17" value="-1." size="20"/> (<code>default = <strong>-1.</strong></code>)</td></tr></table>
174 axial coupling of <i>mu</i> leptons.
177 <br/><br/><table><tr><td><strong>Zprime:vnumu </td><td></td><td> <input type="text" name="18" value="1." size="20"/> (<code>default = <strong>1.</strong></code>)</td></tr></table>
178 vector coupling of <i>nu_mu</i> neutrinos.
181 <br/><br/><table><tr><td><strong>Zprime:anumu </td><td></td><td> <input type="text" name="19" value="1." size="20"/> (<code>default = <strong>1.</strong></code>)</td></tr></table>
182 axial coupling of <i>nu_mu</i> neutrinos.
185 <br/><br/><table><tr><td><strong>Zprime:vb </td><td></td><td> <input type="text" name="20" value="-0.693" size="20"/> (<code>default = <strong>-0.693</strong></code>)</td></tr></table>
186 vector coupling of <i>b</i> quarks.
189 <br/><br/><table><tr><td><strong>Zprime:ab </td><td></td><td> <input type="text" name="21" value="-1." size="20"/> (<code>default = <strong>-1.</strong></code>)</td></tr></table>
190 axial coupling of <i>b</i> quarks.
193 <br/><br/><table><tr><td><strong>Zprime:vt </td><td></td><td> <input type="text" name="22" value="0.387" size="20"/> (<code>default = <strong>0.387</strong></code>)</td></tr></table>
194 vector coupling of <i>t</i> quarks.
197 <br/><br/><table><tr><td><strong>Zprime:at </td><td></td><td> <input type="text" name="23" value="1." size="20"/> (<code>default = <strong>1.</strong></code>)</td></tr></table>
198 axial coupling of <i>t</i> quarks.
201 <br/><br/><table><tr><td><strong>Zprime:vtau </td><td></td><td> <input type="text" name="24" value="-0.08" size="20"/> (<code>default = <strong>-0.08</strong></code>)</td></tr></table>
202 vector coupling of <i>tau</i> leptons.
205 <br/><br/><table><tr><td><strong>Zprime:atau </td><td></td><td> <input type="text" name="25" value="-1." size="20"/> (<code>default = <strong>-1.</strong></code>)</td></tr></table>
206 axial coupling of <i>tau</i> leptons.
209 <br/><br/><table><tr><td><strong>Zprime:vnutau </td><td></td><td> <input type="text" name="26" value="1." size="20"/> (<code>default = <strong>1.</strong></code>)</td></tr></table>
210 vector coupling of <i>nu_tau</i> neutrinos.
213 <br/><br/><table><tr><td><strong>Zprime:anutau </td><td></td><td> <input type="text" name="27" value="1." size="20"/> (<code>default = <strong>1.</strong></code>)</td></tr></table>
214 axial coupling of <i>nu_tau</i> neutrinos.
218 The coupling to the decay channel <i>Z'^0 -> W^+ W^-</i> is
219 more model-dependent. By default it is therefore off, but can be
220 switched on as follows. Furthermore, we have left some amount of
221 freedom in the choice of decay angular correlations in this
222 channel, but obviously alternative shapes could be imagined.
224 <br/><br/><table><tr><td><strong>Zprime:coup2WW </td><td></td><td> <input type="text" name="28" value="0." size="20"/> (<code>default = <strong>0.</strong></code>; <code>minimum = 0.</code>)</td></tr></table>
225 the coupling <i>Z'^0 -> W^+ W^-</i> is taken to be this number
226 times <i>m_W^2 / m_Z'^2</i> times the <i>Z^0 -> W^+ W^-</i>
227 coupling. Thus a unit value corresponds to the
228 <i>Z^0 -> W^+ W^-</i> coupling, scaled down by a factor
229 <i>m_W^2 / m_Z'^2</i>, and gives a <i>Z'^0</i> partial
230 width into this channel that again increases linearly. If you
231 cancel this behaviour, by letting <code>Zprime:coup2WW</code> be
232 proportional to <i>m_Z'^2 / m_W^2</i>, you instead obtain a
233 partial width that goes like the fifth power of the <i>Z'^0</i>
234 mass. These two extremes correspond to the "extended gauge model"
235 and the "reference model", respectively, of [<a href="Bibliography.php" target="page">Alt89</a>].
236 Note that this channel only includes the pure <i>Z'</i> part,
237 while <i>f fbar -> gamma^*/Z^*0 -> W^+ W^-</i> is available
238 as a separate electroweak process.
241 <br/><br/><table><tr><td><strong>Zprime:anglesWW </td><td></td><td> <input type="text" name="29" value="0." size="20"/> (<code>default = <strong>0.</strong></code>; <code>minimum = 0.</code>; <code>maximum = 1.</code>)</td></tr></table>
242 in the decay chain <i>Z'^0 -> W^+ W^- ->f_1 fbar_2 f_3 fbar_4</i>
243 the decay angular distributions is taken to be a mixture of two
244 possible shapes. This parameter gives the fraction that is distributed
245 as in Higgs <i>h^0 -> W^+ W^-</i> (longitudinal bosons),
246 with the remainder (by default all) is taken to be the same as for
247 <i>Z^0 -> W^+ W^-</i> (a mixture of transverse and longitudinal
252 A massive <i>Z'^0</i> is also likely to decay into Higgses
253 and potentially into other now unknown particles. Such possibilities
254 clearly are quite model-dependent, and have not been included
257 <h3><i>W'^+-</i></h3>
259 The <i>W'^+-</i> implementation is less ambitious than the
260 <i>Z'^0</i>. Specifically, while indirect detection of a
261 <i>Z'^0</i> through its interference contribution is
262 a possible discovery channel in lepton colliders, there is no
263 equally compelling case for <i>W^+-/W'^+-</i> interference
264 effects being of importance for discovery, and such interference
265 has therefore not been implemented for now. Related to this, a
266 <i>Z'^0</i> could appear on its own in a new <i>U(1)</i> group,
267 while <i>W'^+-</i> would have to sit in a <i>SU(2)</i> group
268 and thus have a <i>Z'^0</i> partner that is likely to be found
269 first. Only one process is implemented but, like for the
270 <i>W^+-</i>, the ISR showers contain automatic matching to the
271 <i>W'^+-</i> + 1 jet matrix elements.
273 <br/><br/><strong>NewGaugeBoson:ffbar2Wprime</strong> <input type="radio" name="30" value="on"><strong>On</strong>
274 <input type="radio" name="30" value="off" checked="checked"><strong>Off</strong>
275 (<code>default = <strong>off</strong></code>)<br/>
276 Scattering <i>f fbar' -> W'^+-</i>.
281 The couplings of the <i>W'^+-</i> are here assumed universal,
282 i.e. the same for all generations. One may set vector and axial
283 couplings freely, separately for the <i>q qbar'</i> and the
284 <i>l nu_l</i> decay channels. The defaults correspond to the
285 <i>V - A</i> structure and normalization of the Standard Model
286 <i>W^+-</i>, but can be changed to simulate a wide selection
287 of models. One limitation is that, for simplicity, the same
288 Cabibbo--Kobayashi--Maskawa quark mixing matrix is assumed as for
289 the standard <i>W^+-</i>. Depending on your assumed neutrino
290 nature you may want to restrict your freedom in the lepton sector,
291 but no limitations are enforced by the program.
293 <br/><br/><table><tr><td><strong>Wprime:vq </td><td></td><td> <input type="text" name="31" value="1." size="20"/> (<code>default = <strong>1.</strong></code>)</td></tr></table>
294 vector coupling of quarks.
297 <br/><br/><table><tr><td><strong>Wprime:aq </td><td></td><td> <input type="text" name="32" value="-1." size="20"/> (<code>default = <strong>-1.</strong></code>)</td></tr></table>
298 axial coupling of quarks.
301 <br/><br/><table><tr><td><strong>Wprime:vl </td><td></td><td> <input type="text" name="33" value="1." size="20"/> (<code>default = <strong>1.</strong></code>)</td></tr></table>
302 vector coupling of leptons.
305 <br/><br/><table><tr><td><strong>Wprime:al </td><td></td><td> <input type="text" name="34" value="-1." size="20"/> (<code>default = <strong>-1.</strong></code>)</td></tr></table>
306 axial coupling of leptons.
310 The coupling to the decay channel <i>W'^+- -> W^+- Z^0</i> is
311 more model-dependent, like for <i>Z'^0 -> W^+ W^-</i> described
312 above. By default it is therefore off, but can be
313 switched on as follows. Furthermore, we have left some amount of
314 freedom in the choice of decay angular correlations in this
315 channel, but obviously alternative shapes could be imagined.
317 <br/><br/><table><tr><td><strong>Wprime:coup2WZ </td><td></td><td> <input type="text" name="35" value="0." size="20"/> (<code>default = <strong>0.</strong></code>; <code>minimum = 0.</code>)</td></tr></table>
318 the coupling <i>W'^0 -> W^+- Z^0</i> is taken to be this number
319 times <i>m_W^2 / m_W'^2</i> times the <i>W^+- -> W^+- Z^0</i>
320 coupling. Thus a unit value corresponds to the
321 <i>W^+- -> W^+- Z^0</i> coupling, scaled down by a factor
322 <i>m_W^2 / m_W'^2</i>, and gives a <i>W'^+-</i> partial
323 width into this channel that increases linearly with the
324 <i>W'^+-</i> mass. If you cancel this behaviour, by letting
325 <code>Wprime:coup2WZ</code> be proportional to <i>m_W'^2 / m_W^2</i>,
326 you instead obtain a partial width that goes like the fifth power
327 of the <i>W'^+-</i> mass. These two extremes correspond to the
328 "extended gauge model" and the "reference model", respectively,
329 of [<a href="Bibliography.php" target="page">Alt89</a>].
332 <br/><br/><table><tr><td><strong>Wprime:anglesWZ </td><td></td><td> <input type="text" name="36" value="0." size="20"/> (<code>default = <strong>0.</strong></code>; <code>minimum = 0.</code>; <code>maximum = 1.</code>)</td></tr></table>
333 in the decay chain <i>W'^+- -> W^+- Z^0 ->f_1 fbar_2 f_3 fbar_4</i>
334 the decay angular distributions is taken to be a mixture of two
335 possible shapes. This parameter gives the fraction that is distributed
336 as in Higgs <i>H^+- -> W^+- Z^0</i> (longitudinal bosons),
337 with the remainder (by default all) is taken to be the same as for
338 <i>W^+- -> W^+- Z^0</i> (a mixture of transverse and longitudinal
343 A massive <i>W'^+-</i> is also likely to decay into Higgses
344 and potentially into other now unknown particles. Such possibilities
345 clearly are quite model-dependent, and have not been included
350 The <i>R^0</i> boson (particle code 41) represents one possible
351 scenario for a horizontal gauge boson, i.e. a gauge boson
352 that couples between the generations, inducing processes like
353 <i>s dbar -> R^0 -> mu^- e^+</i>. Experimental limits on
354 flavour-changing neutral currents forces such a boson to be fairly
355 heavy. In spite of being neutral the antiparticle is distinct from
356 the particle: one carries a net positive generation number and
357 the other a negative one. This particular model has no new
358 parameters beyond the <i>R^0</i> mass. Decays are assumed isotropic.
359 For further details see [<a href="Bibliography.php" target="page">Ben85</a>].
361 <br/><br/><strong>NewGaugeBoson:ffbar2R0</strong> <input type="radio" name="37" value="on"><strong>On</strong>
362 <input type="radio" name="37" value="off" checked="checked"><strong>Off</strong>
363 (<code>default = <strong>off</strong></code>)<br/>
364 Scattering <i>f_1 fbar_2 -> R^0 -> f_3 fbar_4</i>, where
365 <i>f_1</i> and <i>fbar_2</i> are separated by <i>+-</i> one
366 generation and similarly for <i>f_3</i> and <i>fbar_4</i>.
367 Thus possible final states are e.g. <i>d sbar</i>, <i>u cbar</i>
368 <i>s bbar</i>, <i>c tbar</i>, <i>e- mu+</i> and
373 <input type="hidden" name="saved" value="1"/>
376 echo "<input type='hidden' name='filepath' value='".$_GET["filepath"]."'/>"?>
378 <table width="100%"><tr><td align="right"><input type="submit" value="Save Settings" /></td></tr></table>
383 if($_POST["saved"] == 1)
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391 fwrite($handle,$data);
393 if($_POST["2"] != "0")
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396 fwrite($handle,$data);
398 if($_POST["3"] != "on")
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403 if($_POST["4"] != "-0.693")
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408 if($_POST["5"] != "-1.")
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421 fwrite($handle,$data);
423 if($_POST["8"] != "-0.08")
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428 if($_POST["9"] != "-1.")
430 $data = "Zprime:ae = ".$_POST["9"]."\n";
431 fwrite($handle,$data);
433 if($_POST["10"] != "1.")
435 $data = "Zprime:vnue = ".$_POST["10"]."\n";
436 fwrite($handle,$data);
438 if($_POST["11"] != "1.")
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460 $data = "Zprime:ac = ".$_POST["15"]."\n";
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466 fwrite($handle,$data);
468 if($_POST["17"] != "-1.")
470 $data = "Zprime:amu = ".$_POST["17"]."\n";
471 fwrite($handle,$data);
473 if($_POST["18"] != "1.")
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476 fwrite($handle,$data);
478 if($_POST["19"] != "1.")
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481 fwrite($handle,$data);
483 if($_POST["20"] != "-0.693")
485 $data = "Zprime:vb = ".$_POST["20"]."\n";
486 fwrite($handle,$data);
488 if($_POST["21"] != "-1.")
490 $data = "Zprime:ab = ".$_POST["21"]."\n";
491 fwrite($handle,$data);
493 if($_POST["22"] != "0.387")
495 $data = "Zprime:vt = ".$_POST["22"]."\n";
496 fwrite($handle,$data);
498 if($_POST["23"] != "1.")
500 $data = "Zprime:at = ".$_POST["23"]."\n";
501 fwrite($handle,$data);
503 if($_POST["24"] != "-0.08")
505 $data = "Zprime:vtau = ".$_POST["24"]."\n";
506 fwrite($handle,$data);
508 if($_POST["25"] != "-1.")
510 $data = "Zprime:atau = ".$_POST["25"]."\n";
511 fwrite($handle,$data);
513 if($_POST["26"] != "1.")
515 $data = "Zprime:vnutau = ".$_POST["26"]."\n";
516 fwrite($handle,$data);
518 if($_POST["27"] != "1.")
520 $data = "Zprime:anutau = ".$_POST["27"]."\n";
521 fwrite($handle,$data);
523 if($_POST["28"] != "0.")
525 $data = "Zprime:coup2WW = ".$_POST["28"]."\n";
526 fwrite($handle,$data);
528 if($_POST["29"] != "0.")
530 $data = "Zprime:anglesWW = ".$_POST["29"]."\n";
531 fwrite($handle,$data);
533 if($_POST["30"] != "off")
535 $data = "NewGaugeBoson:ffbar2Wprime = ".$_POST["30"]."\n";
536 fwrite($handle,$data);
538 if($_POST["31"] != "1.")
540 $data = "Wprime:vq = ".$_POST["31"]."\n";
541 fwrite($handle,$data);
543 if($_POST["32"] != "-1.")
545 $data = "Wprime:aq = ".$_POST["32"]."\n";
546 fwrite($handle,$data);
548 if($_POST["33"] != "1.")
550 $data = "Wprime:vl = ".$_POST["33"]."\n";
551 fwrite($handle,$data);
553 if($_POST["34"] != "-1.")
555 $data = "Wprime:al = ".$_POST["34"]."\n";
556 fwrite($handle,$data);
558 if($_POST["35"] != "0.")
560 $data = "Wprime:coup2WZ = ".$_POST["35"]."\n";
561 fwrite($handle,$data);
563 if($_POST["36"] != "0.")
565 $data = "Wprime:anglesWZ = ".$_POST["36"]."\n";
566 fwrite($handle,$data);
568 if($_POST["37"] != "off")
570 $data = "NewGaugeBoson:ffbar2R0 = ".$_POST["37"]."\n";
571 fwrite($handle,$data);
580 <!-- Copyright (C) 2010 Torbjorn Sjostrand -->