1 | <html> |
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2 | <head> |
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3 | <title>Left-Right-Symmetry Processes</title> |
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28 | <form method='post' action='LeftRightSymmetryProcesses.php'> |
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29 | |
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30 | <h2>Left-Right-Symmetry Processes</h2> |
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31 | |
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32 | At current energies, the world is left-handed, i.e. the Standard Model |
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33 | contains an <i>SU(2)_L</i> group. Left-right symmetry at some larger |
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34 | scale implies the need for an <i>SU(2)_R</i> group. Thus the particle |
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35 | content is expanded by right-handed <i>Z_R^0</i> and <i>W_R^+-</i> |
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36 | and right-handed neutrinos. The Higgs fields have to be in a triplet |
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37 | representation, leading to doubly-charged Higgs particles, one set for |
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38 | each of the two <i>SU(2)</i> groups. Also the number of neutral and |
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39 | singly-charged Higgs states is increased relative to the Standard Model, |
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40 | but a search for the lowest-lying states of this kind is no different |
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41 | from e.g. the freedom already accorded by the MSSM Higgs scenarios. |
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42 | |
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43 | <p/> |
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44 | PYTHIA implements the scenario of [<a href="Bibliography.php" target="page">Hui97</a>]. |
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45 | |
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46 | <p/> |
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47 | The <i>W_R^+-</i> has been implemented as a simple copy of the |
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48 | ordinary <i>W^+-</i>, with the exception that it couples to |
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49 | right-handed neutrinos instead of the ordinary left-handed ones. |
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50 | Thus the standard CKM matrix is used in the quark sector, and the |
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51 | same vector and axial coupling strengths, leaving only the mass as |
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52 | free parameter. The <i>Z_R^0</i> implementation (without interference |
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53 | with the photon or the ordinary <i>Z^0</i>) allows decays both to |
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54 | left- and right-handed neutrinos, as well as other fermions, according |
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55 | to one specific model ansatz. Obviously both the <i>W_R^+-</i> |
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56 | and the <i>Z_R^0</i> descriptions are likely to be simplifications, |
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57 | but provide a starting point. |
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58 | |
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59 | <p/> |
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60 | For the doubly-charged Higgses, the main decay modes implemented are |
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61 | <i>H_L^++ -> W_L^+ W_L^+, l_i^+ l_j^+ </i> (<i>i, j</i> generation |
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62 | indices) and <i>H_R^++ -> W_R^+ W_R^+, l_i^+ l_j^+</i>. |
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63 | |
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64 | <p/> |
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65 | The right-handed neutrinos can be allowed to decay further. Assuming them |
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66 | to have a mass below that of <i>W_R^+-</i>, they decay to three-body |
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67 | states via a virtual <i>W_R^+-</i>, <i>nu_Rl -> l+- f fbar'</i>, |
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68 | where both lepton charges are allowed owing to the Majorana character |
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69 | of the neutrinos. If there is a significant mass splitting, also |
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70 | sequential decays <i>nu_Rl -> l+- l'-+ nu'_Rl</i> are allowed. |
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71 | Currently the decays are isotropic in phase space. If the neutrino |
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72 | masses are close to or above the <i>W_R^</i> ones, this description |
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73 | has to be substituted by a sequential decay via a real <i>W_R^</i> |
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74 | (not implemented, but actually simpler to do than the one here). |
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75 | |
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76 | |
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77 | <h3>Production processes</h3> |
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78 | |
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79 | A few different production processes have been implemented, which normally |
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80 | would not overlap and therefore could be run together. |
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81 | |
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82 | <br/><br/><strong>LeftRightSymmmetry:all</strong> <input type="radio" name="1" value="on"><strong>On</strong> |
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83 | <input type="radio" name="1" value="off" checked="checked"><strong>Off</strong> |
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84 | (<code>default = <strong>off</strong></code>)<br/> |
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85 | Common switch for the group of implemented processes within a |
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86 | left-right-symmetric scenario. |
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87 | |
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88 | |
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89 | <br/><br/><strong>LeftRightSymmmetry:ffbar2ZR</strong> <input type="radio" name="2" value="on"><strong>On</strong> |
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90 | <input type="radio" name="2" value="off" checked="checked"><strong>Off</strong> |
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91 | (<code>default = <strong>off</strong></code>)<br/> |
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92 | Scatterings <i>f fbar -> Z_R^0</i>. |
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93 | Code 3101. |
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94 | |
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95 | |
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96 | <br/><br/><strong>LeftRightSymmmetry:ffbar2WR</strong> <input type="radio" name="3" value="on"><strong>On</strong> |
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97 | <input type="radio" name="3" value="off" checked="checked"><strong>Off</strong> |
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98 | (<code>default = <strong>off</strong></code>)<br/> |
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99 | Scatterings <i><f fbar' -> W_R^+</i>. |
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100 | Code 3102. |
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101 | |
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102 | |
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103 | <br/><br/><strong>LeftRightSymmmetry:ll2HL</strong> <input type="radio" name="4" value="on"><strong>On</strong> |
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104 | <input type="radio" name="4" value="off" checked="checked"><strong>Off</strong> |
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105 | (<code>default = <strong>off</strong></code>)<br/> |
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106 | Scatterings <i>l_i l_j -> H_L^--</i>. |
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107 | Code 3121. |
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108 | |
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109 | |
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110 | <br/><br/><strong>LeftRightSymmmetry:lgm2HLe</strong> <input type="radio" name="5" value="on"><strong>On</strong> |
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111 | <input type="radio" name="5" value="off" checked="checked"><strong>Off</strong> |
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112 | (<code>default = <strong>off</strong></code>)<br/> |
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113 | Scatterings <i>l_i gamma -> H_L^-- e^+</i>. |
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114 | Code 3122. |
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115 | |
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116 | |
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117 | <br/><br/><strong>LeftRightSymmmetry:lgm2HLmu</strong> <input type="radio" name="6" value="on"><strong>On</strong> |
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118 | <input type="radio" name="6" value="off" checked="checked"><strong>Off</strong> |
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119 | (<code>default = <strong>off</strong></code>)<br/> |
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120 | Scatterings <i>l_i gamma -> H_L^-- mu^+</i>. |
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121 | Code 3123. |
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122 | |
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123 | |
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124 | <br/><br/><strong>LeftRightSymmmetry:lgm2HLtau</strong> <input type="radio" name="7" value="on"><strong>On</strong> |
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125 | <input type="radio" name="7" value="off" checked="checked"><strong>Off</strong> |
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126 | (<code>default = <strong>off</strong></code>)<br/> |
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127 | Scatterings <i>l_i gamma -> H_L^-- tau^+</i>. |
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128 | Code 3124. |
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129 | |
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130 | |
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131 | <br/><br/><strong>LeftRightSymmmetry:ff2HLff</strong> <input type="radio" name="8" value="on"><strong>On</strong> |
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132 | <input type="radio" name="8" value="off" checked="checked"><strong>Off</strong> |
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133 | (<code>default = <strong>off</strong></code>)<br/> |
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134 | Scatterings <i>f_1 f_2 -> H_L^-- f_3 f_4</i> via <i>WW</i> fusion. |
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135 | Code 3125. |
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136 | |
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137 | |
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138 | <br/><br/><strong>LeftRightSymmmetry:ffbar2HLHL</strong> <input type="radio" name="9" value="on"><strong>On</strong> |
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139 | <input type="radio" name="9" value="off" checked="checked"><strong>Off</strong> |
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140 | (<code>default = <strong>off</strong></code>)<br/> |
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141 | Scatterings <i>f fbar -> H_L^++ H_L^--</i>. |
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142 | Code 3126. |
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143 | |
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144 | |
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145 | <br/><br/><strong>LeftRightSymmmetry:ll2HR</strong> <input type="radio" name="10" value="on"><strong>On</strong> |
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146 | <input type="radio" name="10" value="off" checked="checked"><strong>Off</strong> |
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147 | (<code>default = <strong>off</strong></code>)<br/> |
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148 | Scatterings <i>l_i l_j -> H_R^--</i>. |
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149 | Code 3141. |
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150 | |
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151 | |
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152 | <br/><br/><strong>LeftRightSymmmetry:lgm2HRe</strong> <input type="radio" name="11" value="on"><strong>On</strong> |
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153 | <input type="radio" name="11" value="off" checked="checked"><strong>Off</strong> |
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154 | (<code>default = <strong>off</strong></code>)<br/> |
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155 | Scatterings <i>l_i gamma -> H_R^-- e^+</i>. |
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156 | Code 3142. |
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157 | |
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158 | |
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159 | <br/><br/><strong>LeftRightSymmmetry:lgm2HRmu</strong> <input type="radio" name="12" value="on"><strong>On</strong> |
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160 | <input type="radio" name="12" value="off" checked="checked"><strong>Off</strong> |
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161 | (<code>default = <strong>off</strong></code>)<br/> |
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162 | Scatterings <i>l_i gamma -> H_R^-- mu^+</i>. |
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163 | Code 3143. |
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164 | |
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165 | |
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166 | <br/><br/><strong>LeftRightSymmmetry:lgm2HRtau</strong> <input type="radio" name="13" value="on"><strong>On</strong> |
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167 | <input type="radio" name="13" value="off" checked="checked"><strong>Off</strong> |
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168 | (<code>default = <strong>off</strong></code>)<br/> |
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169 | Scatterings <i>l_i gamma -> H_R^-- tau^+</i>. |
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170 | Code 3144. |
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171 | |
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172 | |
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173 | <br/><br/><strong>LeftRightSymmmetry:ff2HRff</strong> <input type="radio" name="14" value="on"><strong>On</strong> |
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174 | <input type="radio" name="14" value="off" checked="checked"><strong>Off</strong> |
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175 | (<code>default = <strong>off</strong></code>)<br/> |
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176 | Scatterings <i>f_1 f_2 -> H_R^-- f_3 f_4</i> via <i>WW</i> fusion. |
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177 | Code 3145. |
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178 | |
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179 | |
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180 | <br/><br/><strong>LeftRightSymmmetry:ffbar2HRHR</strong> <input type="radio" name="15" value="on"><strong>On</strong> |
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181 | <input type="radio" name="15" value="off" checked="checked"><strong>Off</strong> |
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182 | (<code>default = <strong>off</strong></code>)<br/> |
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183 | Scatterings <i>f fbar -> H_R^++ H_L^--</i>. |
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184 | Code 3146. |
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185 | |
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186 | |
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187 | <h3>Parameters</h3> |
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188 | |
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189 | The basic couplings of the model are |
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190 | |
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191 | <br/><br/><table><tr><td><strong>LeftRightSymmmetry:gL </td><td></td><td> <input type="text" name="16" value="0.64" size="20"/> (<code>default = <strong>0.64</strong></code>; <code>minimum = 0.0</code>)</td></tr></table> |
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192 | lefthanded coupling <i>g_L = e / sin(theta)</i>. |
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193 | |
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194 | |
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195 | <br/><br/><table><tr><td><strong>LeftRightSymmmetry:gR </td><td></td><td> <input type="text" name="17" value="0.64" size="20"/> (<code>default = <strong>0.64</strong></code>; <code>minimum = 0.0</code>)</td></tr></table> |
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196 | righthanded coupling <i>g_R</i>, assumed the same as <i>g_L</i>. |
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197 | |
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198 | |
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199 | <br/><br/><table><tr><td><strong>LeftRightSymmmetry:vL </td><td></td><td> <input type="text" name="18" value="5." size="20"/> (<code>default = <strong>5.</strong></code>; <code>minimum = 0.0</code>)</td></tr></table> |
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200 | vacuum expectation value <i>v_L</i> (in GeV) for the left-triplet. |
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201 | |
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202 | |
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203 | <p/> |
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204 | The corresponding vacuum expectation value <i>v_R</i> is assumed |
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205 | given by <i>v_R = sqrt(2) M_WR / g_R</i> and is not stored explicitly. |
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206 | |
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207 | <p/> |
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208 | The Yukawa couplings of a lepton pair to a <i>H^--</i>, assumed the |
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209 | same for <i>H_L^--</i> and <i>H_R^--</i>, is described by a symmetric |
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210 | 3-by-3 matrix. The default matrix is dominated by the diagonal elements |
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211 | and especially by the <i>tau tau</i> one. |
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212 | |
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213 | <br/><br/><table><tr><td><strong>LeftRightSymmmetry:coupHee </td><td></td><td> <input type="text" name="19" value="0.1" size="20"/> (<code>default = <strong>0.1</strong></code>; <code>minimum = 0.0</code>)</td></tr></table> |
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214 | Yukawa coupling for <i>H^-- -> e- e-</i>. |
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215 | |
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216 | |
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217 | <br/><br/><table><tr><td><strong>LeftRightSymmmetry:coupHmue </td><td></td><td> <input type="text" name="20" value="0.01" size="20"/> (<code>default = <strong>0.01</strong></code>; <code>minimum = 0.0</code>)</td></tr></table> |
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218 | Yukawa coupling for <i>H^-- -> mu- e-</i>. |
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219 | |
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220 | |
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221 | <br/><br/><table><tr><td><strong>LeftRightSymmmetry:coupHmumu </td><td></td><td> <input type="text" name="21" value="0.1" size="20"/> (<code>default = <strong>0.1</strong></code>; <code>minimum = 0.0</code>)</td></tr></table> |
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222 | Yukawa coupling for <i>H^-- -> mu- mu-</i>. |
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223 | |
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224 | |
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225 | <br/><br/><table><tr><td><strong>LeftRightSymmmetry:coupHtaue </td><td></td><td> <input type="text" name="22" value="0.01" size="20"/> (<code>default = <strong>0.01</strong></code>; <code>minimum = 0.0</code>)</td></tr></table> |
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226 | Yukawa coupling for <i>H^-- -> tau- e-</i>. |
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227 | |
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228 | |
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229 | <br/><br/><table><tr><td><strong>LeftRightSymmmetry:coupHtaumu </td><td></td><td> <input type="text" name="23" value="0.01" size="20"/> (<code>default = <strong>0.01</strong></code>; <code>minimum = 0.0</code>)</td></tr></table> |
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230 | Yukawa coupling for <i>H^-- -> tau- mu-</i>. |
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231 | |
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232 | |
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233 | <br/><br/><table><tr><td><strong>LeftRightSymmmetry:coupHtautau </td><td></td><td> <input type="text" name="24" value="0.3" size="20"/> (<code>default = <strong>0.3</strong></code>; <code>minimum = 0.0</code>)</td></tr></table> |
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234 | Yukawa coupling for <i>H^-- -> tau- tau-</i>. |
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235 | |
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236 | |
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237 | <input type="hidden" name="saved" value="1"/> |
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238 | |
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239 | <?php |
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240 | echo "<input type='hidden' name='filepath' value='".$_GET["filepath"]."'/>"?> |
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241 | |
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242 | <table width="100%"><tr><td align="right"><input type="submit" value="Save Settings" /></td></tr></table> |
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243 | </form> |
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244 | |
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245 | <?php |
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246 | |
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247 | if($_POST["saved"] == 1) |
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248 | { |
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249 | $filepath = $_POST["filepath"]; |
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250 | $handle = fopen($filepath, 'a'); |
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251 | |
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252 | if($_POST["1"] != "off") |
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253 | { |
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254 | $data = "LeftRightSymmmetry:all = ".$_POST["1"]."\n"; |
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255 | fwrite($handle,$data); |
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256 | } |
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257 | if($_POST["2"] != "off") |
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258 | { |
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259 | $data = "LeftRightSymmmetry:ffbar2ZR = ".$_POST["2"]."\n"; |
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260 | fwrite($handle,$data); |
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261 | } |
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262 | if($_POST["3"] != "off") |
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263 | { |
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264 | $data = "LeftRightSymmmetry:ffbar2WR = ".$_POST["3"]."\n"; |
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265 | fwrite($handle,$data); |
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266 | } |
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267 | if($_POST["4"] != "off") |
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268 | { |
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269 | $data = "LeftRightSymmmetry:ll2HL = ".$_POST["4"]."\n"; |
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270 | fwrite($handle,$data); |
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271 | } |
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272 | if($_POST["5"] != "off") |
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273 | { |
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274 | $data = "LeftRightSymmmetry:lgm2HLe = ".$_POST["5"]."\n"; |
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275 | fwrite($handle,$data); |
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276 | } |
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277 | if($_POST["6"] != "off") |
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278 | { |
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279 | $data = "LeftRightSymmmetry:lgm2HLmu = ".$_POST["6"]."\n"; |
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280 | fwrite($handle,$data); |
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281 | } |
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282 | if($_POST["7"] != "off") |
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283 | { |
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284 | $data = "LeftRightSymmmetry:lgm2HLtau = ".$_POST["7"]."\n"; |
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285 | fwrite($handle,$data); |
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286 | } |
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287 | if($_POST["8"] != "off") |
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288 | { |
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289 | $data = "LeftRightSymmmetry:ff2HLff = ".$_POST["8"]."\n"; |
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290 | fwrite($handle,$data); |
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291 | } |
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292 | if($_POST["9"] != "off") |
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293 | { |
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294 | $data = "LeftRightSymmmetry:ffbar2HLHL = ".$_POST["9"]."\n"; |
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295 | fwrite($handle,$data); |
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296 | } |
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297 | if($_POST["10"] != "off") |
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298 | { |
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299 | $data = "LeftRightSymmmetry:ll2HR = ".$_POST["10"]."\n"; |
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300 | fwrite($handle,$data); |
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301 | } |
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302 | if($_POST["11"] != "off") |
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303 | { |
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304 | $data = "LeftRightSymmmetry:lgm2HRe = ".$_POST["11"]."\n"; |
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305 | fwrite($handle,$data); |
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306 | } |
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307 | if($_POST["12"] != "off") |
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308 | { |
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309 | $data = "LeftRightSymmmetry:lgm2HRmu = ".$_POST["12"]."\n"; |
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310 | fwrite($handle,$data); |
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311 | } |
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312 | if($_POST["13"] != "off") |
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313 | { |
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314 | $data = "LeftRightSymmmetry:lgm2HRtau = ".$_POST["13"]."\n"; |
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315 | fwrite($handle,$data); |
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316 | } |
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317 | if($_POST["14"] != "off") |
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318 | { |
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319 | $data = "LeftRightSymmmetry:ff2HRff = ".$_POST["14"]."\n"; |
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320 | fwrite($handle,$data); |
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321 | } |
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322 | if($_POST["15"] != "off") |
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323 | { |
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324 | $data = "LeftRightSymmmetry:ffbar2HRHR = ".$_POST["15"]."\n"; |
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325 | fwrite($handle,$data); |
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326 | } |
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327 | if($_POST["16"] != "0.64") |
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328 | { |
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329 | $data = "LeftRightSymmmetry:gL = ".$_POST["16"]."\n"; |
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330 | fwrite($handle,$data); |
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331 | } |
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332 | if($_POST["17"] != "0.64") |
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333 | { |
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334 | $data = "LeftRightSymmmetry:gR = ".$_POST["17"]."\n"; |
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335 | fwrite($handle,$data); |
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336 | } |
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337 | if($_POST["18"] != "5.") |
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338 | { |
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339 | $data = "LeftRightSymmmetry:vL = ".$_POST["18"]."\n"; |
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340 | fwrite($handle,$data); |
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341 | } |
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342 | if($_POST["19"] != "0.1") |
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343 | { |
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344 | $data = "LeftRightSymmmetry:coupHee = ".$_POST["19"]."\n"; |
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345 | fwrite($handle,$data); |
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346 | } |
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347 | if($_POST["20"] != "0.01") |
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348 | { |
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349 | $data = "LeftRightSymmmetry:coupHmue = ".$_POST["20"]."\n"; |
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350 | fwrite($handle,$data); |
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351 | } |
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352 | if($_POST["21"] != "0.1") |
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353 | { |
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354 | $data = "LeftRightSymmmetry:coupHmumu = ".$_POST["21"]."\n"; |
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355 | fwrite($handle,$data); |
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356 | } |
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357 | if($_POST["22"] != "0.01") |
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358 | { |
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359 | $data = "LeftRightSymmmetry:coupHtaue = ".$_POST["22"]."\n"; |
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360 | fwrite($handle,$data); |
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361 | } |
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362 | if($_POST["23"] != "0.01") |
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363 | { |
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364 | $data = "LeftRightSymmmetry:coupHtaumu = ".$_POST["23"]."\n"; |
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365 | fwrite($handle,$data); |
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366 | } |
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367 | if($_POST["24"] != "0.3") |
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368 | { |
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369 | $data = "LeftRightSymmmetry:coupHtautau = ".$_POST["24"]."\n"; |
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370 | fwrite($handle,$data); |
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371 | } |
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372 | fclose($handle); |
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373 | } |
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374 | |
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375 | ?> |
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376 | </body> |
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377 | </html> |
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378 | |
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379 | <!-- Copyright (C) 2012 Torbjorn Sjostrand --> |
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380 | |
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