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9419eeef | 1 | <chapter name="Left-Right-Symmetry Processes"> |
2 | ||
3 | <h2>Left-Right-Symmetry Processes</h2> | |
4 | ||
5 | At current energies, the world is left-handed, i.e. the Standard Model | |
6 | contains an <ei>SU(2)_L</ei> group. Left-right symmetry at some larger | |
7 | scale implies the need for an <ei>SU(2)_R</ei> group. Thus the particle | |
8 | content is expanded by right-handed <ei>Z_R^0</ei> and <ei>W_R^+-</ei> | |
9 | and right-handed neutrinos. The Higgs fields have to be in a triplet | |
10 | representation, leading to doubly-charged Higgs particles, one set for | |
11 | each of the two <ei>SU(2)</ei> groups. Also the number of neutral and | |
12 | singly-charged Higgs states is increased relative to the Standard Model, | |
13 | but a search for the lowest-lying states of this kind is no different | |
14 | from e.g. the freedom already accorded by the MSSM Higgs scenarios. | |
15 | ||
16 | <p/> | |
17 | PYTHIA implements the scenario of <ref>Hui97</ref>. | |
18 | ||
19 | <p/> | |
20 | The <ei>W_R^+-</ei> has been implemented as a simple copy of the | |
21 | ordinary <ei>W^+-</ei>, with the exception that it couples to | |
22 | right-handed neutrinos instead of the ordinary left-handed ones. | |
23 | Thus the standard CKM matrix is used in the quark sector, and the | |
24 | same vector and axial coupling strengths, leaving only the mass as | |
25 | free parameter. The <ei>Z_R^0</ei> implementation (without interference | |
26 | with the photon or the ordinary <ei>Z^0</ei>) allows decays both to | |
27 | left- and right-handed neutrinos, as well as other fermions, according | |
28 | to one specific model ansatz. Obviously both the <ei>W_R^+-</ei> | |
29 | and the <ei>Z_R^0</ei> descriptions are likely to be simplifications, | |
30 | but provide a starting point. | |
31 | ||
32 | <p/> | |
33 | For the doubly-charged Higgses, the main decay modes implemented are | |
34 | <ei>H_L^++ -> W_L^+ W_L^+, l_i^+ l_j^+ </ei> (<ei>i, j</ei> generation | |
35 | indices) and <ei>H_R^++ -> W_R^+ W_R^+, l_i^+ l_j^+</ei>. | |
36 | ||
37 | <p/> | |
38 | The right-handed neutrinos can be allowed to decay further. Assuming them | |
39 | to have a mass below that of <ei>W_R^+-</ei>, they decay to three-body | |
40 | states via a virtual <ei>W_R^+-</ei>, <ei>nu_Rl -> l+- f fbar'</ei>, | |
41 | where both lepton charges are allowed owing to the Majorana character | |
42 | of the neutrinos. If there is a significant mass splitting, also | |
43 | sequential decays <ei>nu_Rl -> l+- l'-+ nu'_Rl</ei> are allowed. | |
44 | Currently the decays are isotropic in phase space. If the neutrino | |
45 | masses are close to or above the <ei>W_R^</ei> ones, this description | |
46 | has to be substituted by a sequential decay via a real <ei>W_R^</ei> | |
47 | (not implemented, but actually simpler to do than the one here). | |
48 | ||
49 | ||
50 | <h3>Production processes</h3> | |
51 | ||
52 | A few different production processes have been implemented, which normally | |
53 | would not overlap and therefore could be run together. | |
54 | ||
55 | <flag name="LeftRightSymmmetry:all" default="off"> | |
56 | Common switch for the group of implemented processes within a | |
57 | left-right-symmetric scenario. | |
58 | </flag> | |
59 | ||
60 | <flag name="LeftRightSymmmetry:ffbar2ZR" default="off"> | |
61 | Scatterings <ei>f fbar -> Z_R^0</ei>. | |
62 | Code 3101. | |
63 | </flag> | |
64 | ||
65 | <flag name="LeftRightSymmmetry:ffbar2WR" default="off"> | |
66 | Scatterings <ei><f fbar' -> W_R^+</ei>. | |
67 | Code 3102. | |
68 | </flag> | |
69 | ||
70 | <flag name="LeftRightSymmmetry:ll2HL" default="off"> | |
71 | Scatterings <ei>l_i l_j -> H_L^--</ei>. | |
72 | Code 3121. | |
73 | </flag> | |
74 | ||
75 | <flag name="LeftRightSymmmetry:lgm2HLe" default="off"> | |
76 | Scatterings <ei>l_i gamma -> H_L^-- e^+</ei>. | |
77 | Code 3122. | |
78 | </flag> | |
79 | ||
80 | <flag name="LeftRightSymmmetry:lgm2HLmu" default="off"> | |
81 | Scatterings <ei>l_i gamma -> H_L^-- mu^+</ei>. | |
82 | Code 3123. | |
83 | </flag> | |
84 | ||
85 | <flag name="LeftRightSymmmetry:lgm2HLtau" default="off"> | |
86 | Scatterings <ei>l_i gamma -> H_L^-- tau^+</ei>. | |
87 | Code 3124. | |
88 | </flag> | |
89 | ||
90 | <flag name="LeftRightSymmmetry:ff2HLff" default="off"> | |
91 | Scatterings <ei>f_1 f_2 -> H_L^-- f_3 f_4</ei> via <ei>WW</ei> fusion. | |
92 | Code 3125. | |
93 | </flag> | |
94 | ||
95 | <flag name="LeftRightSymmmetry:ffbar2HLHL" default="off"> | |
96 | Scatterings <ei>f fbar -> H_L^++ H_L^--</ei>. | |
97 | Code 3126. | |
98 | </flag> | |
99 | ||
100 | <flag name="LeftRightSymmmetry:ll2HR" default="off"> | |
101 | Scatterings <ei>l_i l_j -> H_R^--</ei>. | |
102 | Code 3141. | |
103 | </flag> | |
104 | ||
105 | <flag name="LeftRightSymmmetry:lgm2HRe" default="off"> | |
106 | Scatterings <ei>l_i gamma -> H_R^-- e^+</ei>. | |
107 | Code 3142. | |
108 | </flag> | |
109 | ||
110 | <flag name="LeftRightSymmmetry:lgm2HRmu" default="off"> | |
111 | Scatterings <ei>l_i gamma -> H_R^-- mu^+</ei>. | |
112 | Code 3143. | |
113 | </flag> | |
114 | ||
115 | <flag name="LeftRightSymmmetry:lgm2HRtau" default="off"> | |
116 | Scatterings <ei>l_i gamma -> H_R^-- tau^+</ei>. | |
117 | Code 3144. | |
118 | </flag> | |
119 | ||
120 | <flag name="LeftRightSymmmetry:ff2HRff" default="off"> | |
121 | Scatterings <ei>f_1 f_2 -> H_R^-- f_3 f_4</ei> via <ei>WW</ei> fusion. | |
122 | Code 3145. | |
123 | </flag> | |
124 | ||
125 | <flag name="LeftRightSymmmetry:ffbar2HRHR" default="off"> | |
126 | Scatterings <ei>f fbar -> H_R^++ H_L^--</ei>. | |
127 | Code 3146. | |
128 | </flag> | |
129 | ||
130 | <h3>Parameters</h3> | |
131 | ||
132 | The basic couplings of the model are | |
133 | ||
134 | <parm name="LeftRightSymmmetry:gL" default="0.64" min="0.0"> | |
135 | lefthanded coupling <ei>g_L = e / sin(theta)</ei>. | |
136 | </parm> | |
137 | ||
138 | <parm name="LeftRightSymmmetry:gR" default="0.64" min="0.0"> | |
139 | righthanded coupling <ei>g_R</ei>, assumed the same as <ei>g_L</ei>. | |
140 | </parm> | |
141 | ||
142 | <parm name="LeftRightSymmmetry:vL" default="5." min="0.0"> | |
143 | vacuum expectation value <ei>v_L</ei> (in GeV) for the left-triplet. | |
144 | </parm> | |
145 | ||
146 | <p/> | |
147 | The corresponding vacuum expectation value <ei>v_R</ei> is assumed | |
148 | given by <ei>v_R = sqrt(2) M_WR / g_R</ei> and is not stored explicitly. | |
149 | ||
150 | <p/> | |
151 | The Yukawa couplings of a lepton pair to a <ei>H^--</ei>, assumed the | |
152 | same for <ei>H_L^--</ei> and <ei>H_R^--</ei>, is described by a symmetric | |
153 | 3-by-3 matrix. The default matrix is dominated by the diagonal elements | |
154 | and especially by the <ei>tau tau</ei> one. | |
155 | ||
156 | <parm name="LeftRightSymmmetry:coupHee" default="0.1" min="0.0"> | |
157 | Yukawa coupling for <ei>H^-- -> e- e-</ei>. | |
158 | </parm> | |
159 | ||
160 | <parm name="LeftRightSymmmetry:coupHmue" default="0.01" min="0.0"> | |
161 | Yukawa coupling for <ei>H^-- -> mu- e-</ei>. | |
162 | </parm> | |
163 | ||
164 | <parm name="LeftRightSymmmetry:coupHmumu" default="0.1" min="0.0"> | |
165 | Yukawa coupling for <ei>H^-- -> mu- mu-</ei>. | |
166 | </parm> | |
167 | ||
168 | <parm name="LeftRightSymmmetry:coupHtaue" default="0.01" min="0.0"> | |
169 | Yukawa coupling for <ei>H^-- -> tau- e-</ei>. | |
170 | </parm> | |
171 | ||
172 | <parm name="LeftRightSymmmetry:coupHtaumu" default="0.01" min="0.0"> | |
173 | Yukawa coupling for <ei>H^-- -> tau- mu-</ei>. | |
174 | </parm> | |
175 | ||
176 | <parm name="LeftRightSymmmetry:coupHtautau" default="0.3" min="0.0"> | |
177 | Yukawa coupling for <ei>H^-- -> tau- tau-</ei>. | |
178 | </parm> | |
179 | ||
180 | </chapter> | |
181 | ||
182 | <!-- Copyright (C) 2010 Torbjorn Sjostrand --> | |
183 |