PHYS08200604017 Manimala Mitra - Homi Bhabha National Institute

More documents

Recommendations

Info

3.5.4 Comparison Between One and Two Higgs Doublet Models . . . . . 58 3.5.5 Flavor Structure and the Decay Branching Ratios . . . . . . . . . . 60 3.6 Higgs Decay . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 3.7 Displaced h 0 Decay Vertex . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 3.8 Model Signatures at the LHC . . . . . . . . . . . . . . . . . . . . . . . . . 64 3.8.1 Signatures from Σ + Σ − decays . . . . . . . . . . . . . . . . . . . . . 65 3.8.2 Σ ± Σ 0 decay . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 3.8.3 Backgrounds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 3.9 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74 4 R Parity Violation and Neutrino Mass 89 4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 4.2 The Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 4.3 Symmetry Breaking . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 4.4 Neutralino-Neutrino Mass Matrix . . . . . . . . . . . . . . . . . . . . . . . 97 4.5 Chargino-Charged Lepton Mass Matrix . . . . . . . . . . . . . . . . . . . . 99 4.6 Neutrino Mass and Mixing . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 4.7 Collider Signature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103 4.8 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 5 A 4 Flavor Symmetry and Neutrino Phenomenology 119 5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 5.2 Overview of the Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121 5.3 Number of One Dimensional Higgs Representations and their VEVs . . . . 123 5.3.1 No One Dimensional A 4 Higgs . . . . . . . . . . . . . . . . . . . . . 123 5.3.2 Only One One-Dimensional A 4 Higgs . . . . . . . . . . . . . . . . . 125 5.3.3 Two One-Dimensional A 4 Higgs . . . . . . . . . . . . . . . . . . . . 127 5.3.4 Three One-Dimensional A 4 Higgs . . . . . . . . . . . . . . . . . . . 130 5.4 Vacuum Alignment of the Triplet Higgs . . . . . . . . . . . . . . . . . . . . 135 5.5 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 136 6 S 3 Flavor Symmetry and Lepton Mass and Mixing 143 6.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 6.2 The Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144 6.2.1 Neutrino Masses and Mixing . . . . . . . . . . . . . . . . . . . . . . 145 xii
6.2.2 Charged Lepton Masses and Mixing . . . . . . . . . . . . . . . . . . 149 6.3 Phenomenology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150 6.3.1 Exact µ−τ Symmetry Limit . . . . . . . . . . . . . . . . . . . . . 150 6.3.2 Mildly Broken µ−τ Symmetry Limit . . . . . . . . . . . . . . . . . 154 6.3.3 Collider Signature and Lepton Flavor Violation . . . . . . . . . . . 156 6.4 The Vacuum Expectation Values . . . . . . . . . . . . . . . . . . . . . . . 160 6.5 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 164 7 Conclusion 169 xiii
Page 1: Neutrinos and Some Aspects of Physi
Page 5: Declaration This thesis is a presen
Page 9 and 10: Acknowledgments First and foremost,
Page 11: iii
Page 14 and 15: trino masses are bounded within 0.1
Page 16 and 17: softly broken Z 2 symmetry, the mas
Page 18 and 19: tribimaximal mixing in the neutrino
Page 20 and 21: Bibliography [1] Two Higgs doublet
Page 23: Contents 1 Introduction 1 1.1 Stand
Page 29 and 30: Chapter 1 Introduction 1.1 Standard
Page 31 and 32: For positive µ 2 and λ, the Higgs
Page 33 and 34: type of Yukawa interaction between
Page 35 and 36: interaction with the Higgs as λ f
Page 37 and 38: where ˆΦ is the MSSM chiral super
Page 39: (2004); A. Ghosal, hep-ph/0304090;
Page 44 and 45: active flavor. In recent years, sev
Page 46 and 47: Figure 2.1: The possible neutrino s
Page 48 and 49: Majorana mass term breaks lepton nu
Page 50 and 51: The kinetic term of the Higgs tripl
Page 52 and 53: ight handed neutrino N R can be exa
Page 54 and 55: alternating group which is not a di
Page 56 and 57: The group contains two one-dimensio
Page 58 and 59: from neutral-current interactions i
Page 60: [31] K. S. Babu and R. N. Mohapatra
Page 64 and 65: of producing the heavy fermion trip
Page 66 and 67: where Σ ± Ri = Σ1 Ri ∓iΣ2 Ri
Page 68 and 69: while U ν diagonalizes m ν and ˜
Page 70 and 71: It is evident that the masses of th
Page 72 and 73: 0.001 0.001 0.0001 0.0001 U e3 1e-0
Page 74 and 75:
if we neglect terms proportional to
Page 76 and 77:
calculations for lepton flavor viol
Page 78 and 79:
fb. Therefore, it is obvious that t
Page 80 and 81:
Σ − -> e m 1 m h 0 Σ − -> e m
Page 82 and 83:
We can also see that for Σ − m 1
Page 84 and 85:
the sinα term. However, decay to h
Page 86 and 87:
Σ − m 1 ->ν m1 W Σ 0 m 1 ->ν
Page 88 and 89:
Γ 2HDM (Σ 0 m → ν m H 0 ) ≃
Page 90 and 91:
Decay modes Σ ± m 1 Σ ± m 2 Σ
Page 92 and 93:
III seesaw model. Clearly, for our
Page 94 and 95:
Sl no Channels Effective cross-sect
Page 96 and 97:
• The other dominant decay channe
Page 98 and 99:
Page 100 and 101:
Page 102 and 103:
3.9 Conclusions The seesaw mechanis
Page 104 and 105:
Appendix A: The Scalar Potential an
Page 106 and 107:
B: The Interaction Lagrangian B.1:
Page 108 and 109:
C H0 ,L 1√ ll 2 (T 11Y † l S 11
Page 110 and 111:
c Z,L ll c Z,L lΣ − c Z,L Σ −
Page 112 and 113:
Bibliography [1] S. Weinberg, Phys.
Page 114:
Lett. B 615, 231 (2005); Phys. Rev.
Page 118 and 119:
violating λ ′′ coupling are co
Page 120 and 121:
neutralino-neutrinomassmatrixandins
Page 122 and 123:
4.3 Symmetry Breaking In this secti
Page 124 and 125:
+(M 2 +m 2 Σ )ũ2 + ∑ m 2˜ν i
Page 126 and 127:
Here M 1,2 are the soft supersymmet
Page 128 and 129:
is violated, we have neutrino-neutr
Page 130 and 131:
(M 1,2 ,M,µ,Y Σi ,v 1,2 ,ũ,u i )
Page 132 and 133:
In our model in addition to the sta
Page 134 and 135:
4.8 Conclusion In this work we have
Page 136 and 137:
Y Σi √2 ĤuˆΣ 0 0c Rˆν L i
Page 138 and 139:
while the parameter α 1 is α 1 =
Page 140 and 141:
Bibliography [1] S. Roy and B. Mukh
Page 142 and 143:
[15] M. C. Gonzalez-Garcia and J. W
Page 144 and 145:
ν i A Σi • ˜ν i h,H,A × χ
Page 146 and 147:
118
Page 148 and 149:
of the form ⎛ ⎞ A B B m ν =
Page 150 and 151:
triplet representation of A 4 , l =
Page 152 and 153:
m 0 =0.016 m 0 =0.024 m 0 =0.032 2
Page 154 and 155:
Higgs Neutrino mass matrix Eigenval
Page 156 and 157:
5.3. The deviation of the mixing an
Page 158 and 159:
Sin 2 θ 12 Sin 2 θ 13 Sin 2 θ 23
Page 160 and 161:
Figure 5.5: Scatter plot showing th
Page 162 and 163:
Figure 5.6: Same as Fig. 5.5 but fo
Page 164 and 165:
mass matrix is then given as ⎛ m
Page 166 and 167:
Bibliography [1] M. C. Gonzalez-Gar
Page 168 and 169:
140
Page 170 and 171:
142
Page 172 and 173:
a way that the residual µ−τ sym
Page 174 and 175:
where Λ is the cut-off scale of th
Page 176 and 177:
m 2 . The eigenvectors are given as
Page 178 and 179:
For λ ≃ 2 × 10 −2 ≃ λ2 c 2
Page 180 and 181:
2 2 2 1 1 1 y 2 0 y 3 0 y 4 0 -1 -1
Page 182 and 183:
0.08 0.25 0.06 0.2 10 -3 m νee (eV
Page 184 and 185:
We show the values of |U e3 | ≡ s
Page 186 and 187:
while the branching ratio for this
Page 188 and 189:
6.4 The Vacuum Expectation Values I
Page 190 and 191:
where we have defined B = (b+f 1 +f
Page 192 and 193:
VEV alignments. Another way the VEV
Page 194 and 195:
(2006); M. Maltoni, T. Schwetz, M.
Page 196 and 197:
168
Page 198 and 199:
metric standard model in chapter 1.
Page 200 and 201:
mally two. However the R-parity vio
Page 202 and 203:
sector contains the exact/approxima
show all

PHYS08200604017 Manimala Mitra - Homi Bhabha National Institute

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?