PHYS08200604017 Manimala Mitra - Homi Bhabha National Institute

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Certificate This is to certify that the Ph.D. thesis titled “Neutrinos and Some Aspects of Physics Beyond the Standard Model” submitted by <strong>Manimala</strong> <strong>Mitra</strong> is a record of bona fide research work done under my supervision. It is further certified that the thesis represents independent work by the candidate and collaboration was necessitated by the nature and scope of the problems dealt with. Date: Dr. Sandhya Choubey Thesis Adviser
Page 1: Neutrinos and Some Aspects of Physi
Page 7: To My Parents....
Page 10 and 11: would like to thank Rajesh Kumar Gu
Page 13 and 14: Synopsis The standard model of part
Page 15 and 16: nomenology. The triplet fermions wh
Page 17 and 18: Non-observation of proton decay con
Page 19 and 20: interacts with the gauge bosons via
Page 21: Publication and Preprints 1. Two Hi
Page 24 and 25: 3.5.4 Comparison Between One and Tw
Page 28 and 29: xvi
Page 30 and 31: In the above equations the SU(2) L
Page 32 and 33: where ˜H = iτ 2 H ∗ . The elect
Page 34 and 35: dark matter. The standard model can
Page 36 and 37: where P µ is the four-momentum gen
Page 38 and 39: Bibliography [1] S. Weinberg, Phys.
Page 43 and 44: Chapter 2 Neutrino Mass and Mixing
Page 45 and 46: ∆m 2 21(10 −5 eV 2 ) 7.59 ±0.2
Page 47 and 48: Figure 2.2: Feynman diagram of neut
Page 49 and 50: theory. The fields which get integr
Page 51 and 52: H H H H µ ∆ H H Y † ν N R Y
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• The LL∆ term in Eq. (2.16) is
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Conjugacy Class Elements 1 1 ′ 2
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Bibliography [1] W. Pauli, “Dear
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[20] H. V. Klapdor-Kleingrothaus et
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Chapter 3 Two Higgs Doublet Type-II
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artifact of the imposed µ-τ symme
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we generate the following neutrino
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where m l = vY l , while D l and D
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Sin 2 Θ 12 a 4 0.38 0.38 a 11 0.36
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demand that v ′ ∼ 10 5 eV in or
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and ˜M H ˜M† H respectively. Fo
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Figure 3.4: Variation of production
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ν m . Accordingly m lj will repres
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Σ − m 1 -> e m H Σ − m 1 ->
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Σ 0 -> e m 1 m H + Σ 0 -> e m 2 m
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For the other two channels Σ 0 m
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Γ 1HDM (Σ ± m → l± m Z) ≃
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Decay modes Σ ± m 1 Σ ± m 2 Σ
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Decay modes h 0 H 0 A 0 b m¯bm 0.8
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The most important characteristics
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heavy fermions Σ ± → l ± h 0 a
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Sl no Channels Effective cross-sect
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Sl no Channels Effective cross-sect
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3.8.3 Backgrounds In Tables 3.8, 3.
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parameters depend on the model para
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The physical Higgs are given in ter
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−L H0 ν,Σ 0 = H0 {ν m (C H0 ,L
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C H− ,L lν −T 11Y † l U 11 s
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mixing between Higgs fields as disc
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[11] I. Gogoladze, N. Okada and Q.
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Chapter 4 R Parity Violation and Ne
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gaugino seesaw. We restrict ourself
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The SU(2) triplet fermions are Σ +
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In the above equations ... represen
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Hence for small u which is demanded
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4.5 Chargino-Charged Lepton Mass Ma
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We next discuss the neutrino oscill
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loop in Fig. 3 of [4]. For the sake
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neutralino states [7], as for the f
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Appendix A: Soft supersymmetry brea
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Similar interaction terms would be
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eaking mass terms in Eq. (4.33). Si
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ph]]; A. Bartl, M. Hirsch, A. Vicen
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[27] A. Bartl, M. Hirsch, T. Kernre
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117
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Chapter 5 A 4 Flavor Symmetry and N
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Lepton SU(2) L A 4 l 2 3 e R 1 1 µ
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5.3 Number of One Dimensional Higgs
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2 1 b 0 -1 -2 -1 0 1 a Figure 5.2:
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In Fig. 5.2 we present a scatter pl
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Higgs Neutrino mass matrix Eigenval
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d b 2 1 0 -1 -2 0.5 0 -0.5 2 1 0 -1
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Higgs Neutrino mass matrix Eigenval
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0.4 0.35 Sin 2 θ 12 0.3 -0.01 -0.0
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Also we have shown, while the tripl
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Rev. D 71, 033001 (2005); R. N. Moh
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141
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Chapter 6 S 3 Flavor Symmetry and L
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Field H l 1 D l e R µ R τ R ∆
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where u ′ 1 = u 1 Λ and it is le
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6.2.2 Charged Lepton Masses and Mix
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0.4 0.4 Sin 2 θ 12 0.35 0.3 Sin 2
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2 2 2 1 1 1 y 2 0 y 3 0 y 4 0 -1 -1
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Figure 6.5: The Jarlskog invariant
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The quantities e 1 , e ′ 1 , e 2
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Vertices Vertex factors F ab eµ H
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−4cu 1 u 2 +c ′ (u 2 1 +u2 2 )+
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Using the same arguments as above,
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Bibliography [1] E. Ma, Phys. Rev.
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167
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Chapter 7 Conclusion In this thesis
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with five physical degrees of freed
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in chapter 5 [3] we have build a mo
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Bibliography [1] Two Higgs doublet
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PHYS08200604017 Manimala Mitra - Homi Bhabha National Institute

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