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9419eeef 1<chapter name="Left-Right-Symmetry Processes">
2
3<h2>Left-Right-Symmetry Processes</h2>
4
5At current energies, the world is left-handed, i.e. the Standard Model
6contains an <ei>SU(2)_L</ei> group. Left-right symmetry at some larger
7scale implies the need for an <ei>SU(2)_R</ei> group. Thus the particle
8content is expanded by right-handed <ei>Z_R^0</ei> and <ei>W_R^+-</ei>
9and right-handed neutrinos. The Higgs fields have to be in a triplet
10representation, leading to doubly-charged Higgs particles, one set for
11each of the two <ei>SU(2)</ei> groups. Also the number of neutral and
12singly-charged Higgs states is increased relative to the Standard Model,
13but a search for the lowest-lying states of this kind is no different
14from e.g. the freedom already accorded by the MSSM Higgs scenarios.
15
16<p/>
17PYTHIA implements the scenario of <ref>Hui97</ref>.
18
19<p/>
20The <ei>W_R^+-</ei> has been implemented as a simple copy of the
21ordinary <ei>W^+-</ei>, with the exception that it couples to
22right-handed neutrinos instead of the ordinary left-handed ones.
23Thus the standard CKM matrix is used in the quark sector, and the
24same vector and axial coupling strengths, leaving only the mass as
25free parameter. The <ei>Z_R^0</ei> implementation (without interference
26with the photon or the ordinary <ei>Z^0</ei>) allows decays both to
27left- and right-handed neutrinos, as well as other fermions, according
28to one specific model ansatz. Obviously both the <ei>W_R^+-</ei>
29and the <ei>Z_R^0</ei> descriptions are likely to be simplifications,
30but provide a starting point.
31
32<p/>
33For 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
35indices) and <ei>H_R^++ -> W_R^+ W_R^+, l_i^+ l_j^+</ei>.
36
37<p/>
38The right-handed neutrinos can be allowed to decay further. Assuming them
39to have a mass below that of <ei>W_R^+-</ei>, they decay to three-body
40states via a virtual <ei>W_R^+-</ei>, <ei>nu_Rl -> l+- f fbar'</ei>,
41where both lepton charges are allowed owing to the Majorana character
42of the neutrinos. If there is a significant mass splitting, also
43sequential decays <ei>nu_Rl -> l+- l'-+ nu'_Rl</ei> are allowed.
44Currently the decays are isotropic in phase space. If the neutrino
45masses are close to or above the <ei>W_R^</ei> ones, this description
46has 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
52A few different production processes have been implemented, which normally
53would not overlap and therefore could be run together.
54
55<flag name="LeftRightSymmmetry:all" default="off">
56Common switch for the group of implemented processes within a
57left-right-symmetric scenario.
58</flag>
59
60<flag name="LeftRightSymmmetry:ffbar2ZR" default="off">
61Scatterings <ei>f fbar -> Z_R^0</ei>.
62Code 3101.
63</flag>
64
65<flag name="LeftRightSymmmetry:ffbar2WR" default="off">
66Scatterings <ei><f fbar' -> W_R^+</ei>.
67Code 3102.
68</flag>
69
70<flag name="LeftRightSymmmetry:ll2HL" default="off">
71Scatterings <ei>l_i l_j -> H_L^--</ei>.
72Code 3121.
73</flag>
74
75<flag name="LeftRightSymmmetry:lgm2HLe" default="off">
76Scatterings <ei>l_i gamma -> H_L^-- e^+</ei>.
77Code 3122.
78</flag>
79
80<flag name="LeftRightSymmmetry:lgm2HLmu" default="off">
81Scatterings <ei>l_i gamma -> H_L^-- mu^+</ei>.
82Code 3123.
83</flag>
84
85<flag name="LeftRightSymmmetry:lgm2HLtau" default="off">
86Scatterings <ei>l_i gamma -> H_L^-- tau^+</ei>.
87Code 3124.
88</flag>
89
90<flag name="LeftRightSymmmetry:ff2HLff" default="off">
91Scatterings <ei>f_1 f_2 -> H_L^-- f_3 f_4</ei> via <ei>WW</ei> fusion.
92Code 3125.
93</flag>
94
95<flag name="LeftRightSymmmetry:ffbar2HLHL" default="off">
96Scatterings <ei>f fbar -> H_L^++ H_L^--</ei>.
97Code 3126.
98</flag>
99
100<flag name="LeftRightSymmmetry:ll2HR" default="off">
101Scatterings <ei>l_i l_j -> H_R^--</ei>.
102Code 3141.
103</flag>
104
105<flag name="LeftRightSymmmetry:lgm2HRe" default="off">
106Scatterings <ei>l_i gamma -> H_R^-- e^+</ei>.
107Code 3142.
108</flag>
109
110<flag name="LeftRightSymmmetry:lgm2HRmu" default="off">
111Scatterings <ei>l_i gamma -> H_R^-- mu^+</ei>.
112Code 3143.
113</flag>
114
115<flag name="LeftRightSymmmetry:lgm2HRtau" default="off">
116Scatterings <ei>l_i gamma -> H_R^-- tau^+</ei>.
117Code 3144.
118</flag>
119
120<flag name="LeftRightSymmmetry:ff2HRff" default="off">
121Scatterings <ei>f_1 f_2 -> H_R^-- f_3 f_4</ei> via <ei>WW</ei> fusion.
122Code 3145.
123</flag>
124
125<flag name="LeftRightSymmmetry:ffbar2HRHR" default="off">
126Scatterings <ei>f fbar -> H_R^++ H_L^--</ei>.
127Code 3146.
128</flag>
129
130<h3>Parameters</h3>
131
132The basic couplings of the model are
133
134<parm name="LeftRightSymmmetry:gL" default="0.64" min="0.0">
135lefthanded coupling <ei>g_L = e / sin(theta)</ei>.
136</parm>
137
138<parm name="LeftRightSymmmetry:gR" default="0.64" min="0.0">
139righthanded 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">
143vacuum expectation value <ei>v_L</ei> (in GeV) for the left-triplet.
144</parm>
145
146<p/>
147The corresponding vacuum expectation value <ei>v_R</ei> is assumed
148given by <ei>v_R = sqrt(2) M_WR / g_R</ei> and is not stored explicitly.
149
150<p/>
151The Yukawa couplings of a lepton pair to a <ei>H^--</ei>, assumed the
152same for <ei>H_L^--</ei> and <ei>H_R^--</ei>, is described by a symmetric
1533-by-3 matrix. The default matrix is dominated by the diagonal elements
154and especially by the <ei>tau tau</ei> one.
155
156<parm name="LeftRightSymmmetry:coupHee" default="0.1" min="0.0">
157Yukawa coupling for <ei>H^-- -> e- e-</ei>.
158</parm>
159
160<parm name="LeftRightSymmmetry:coupHmue" default="0.01" min="0.0">
161Yukawa coupling for <ei>H^-- -> mu- e-</ei>.
162</parm>
163
164<parm name="LeftRightSymmmetry:coupHmumu" default="0.1" min="0.0">
165Yukawa coupling for <ei>H^-- -> mu- mu-</ei>.
166</parm>
167
168<parm name="LeftRightSymmmetry:coupHtaue" default="0.01" min="0.0">
169Yukawa coupling for <ei>H^-- -> tau- e-</ei>.
170</parm>
171
172<parm name="LeftRightSymmmetry:coupHtaumu" default="0.01" min="0.0">
173Yukawa coupling for <ei>H^-- -> tau- mu-</ei>.
174</parm>
175
176<parm name="LeftRightSymmmetry:coupHtautau" default="0.3" min="0.0">
177Yukawa coupling for <ei>H^-- -> tau- tau-</ei>.
178</parm>
179
180</chapter>
181
182<!-- Copyright (C) 2010 Torbjorn Sjostrand -->
183