PHYS08200604017 Manimala Mitra - Homi Bhabha National Institute

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Acknowledgments First and foremost, I would like to thank my adviser Dr. Sandhya Choubey for her able guidance and support during my Ph.D at Harish-Chandra Research <strong>Institute</strong>, Allahabad. She has constantly given me encouragement, has been very patient throughout my Ph.D years and motivated me for independent thinking. It has been a wonderful experience for me to learn physics from her and as well as to learn the technical minute details, which are essential parts of solving a research problem. I would like to give my heartful thanks to Prof. Amitava Raychaudhuri and Prof. Ashoke sen, with whom I have discussed a lot on several intricate physics issues and clarified my doubts, whenever it was required. Learning physics from them has always been an enchanting experience. I am indebted to Dr. Srubabati Goswami for her active support, suggestions andthevery enjoyablephysics discussions. Shehasprovidedmewith her insightful advice, whenever I needed. My special thanks goes to Prof. Raj Gandhi, it has been anexcellent experience for meto come across his knowledge, deep physics insight and rigorous way of thinking during the last few years. I am grateful to Prof. Biswaup Mukhopadhyaya and Dr. Asesh Krishna Datta for several intense physics discussions, which has helped me a lot to get the clarification for the different subtle physics issues. It is a great pleasure to thank Prof. V. Ravindran. I have gained a lot of knowledge from him during my coursework and project. I would also like to thank Dr. Andreas Nyffeler. MyspecialthanksgoestoProf. AshokeSenandRajeshGopakumarfortheexcellent coursestheyhavegiven. IamalsogratefultotheothercourseinstructorsofHRI,whohave taught me the basic as well as several advanced subjects during my two years coursework period at HRI. I am indebted to Prof. Pinaki Majumdar for his support, which helped me a lot during my Ph.D years. The several talks and the intense discussions of our Pheno Lunch journal club has given me the exposure to different fields of research, which has broadened my research perspective. I would like to convey my heartful thanks to all those who helped and advised me to carry out my research forward. Among them, I would like to specially mention my collaborators Prof. Steve F. King from University of Southampton and Dr. Biswajoy Brahmachari. On several occasions, I have discussed with Prof. Anjan Joshipura, Dr. Sudhir Vempati, Dr. Sourov Roy, Dr. Amol Dighe, Prof. Feruglio, Prof. Borut Bajc and Prof. Francesco Vissani and have been benefitted by their knowledge and physics insight. My thanks goes to all of them. I would also like to thank all the course and tutorial instructors of SERC 2008 school, held in IIT Mumbai, from which I have learned many good physics. It has always been an enjoyable experience to discuss physics and even non-physics with students and post-docs of HRI. I have been extremely benefitted by the physics discussions with my collaborator Dr. Priyotosh Bandyopadhyaya. I would also like to mention Ramlal Awasthi. Physics discussion has always been enjoyable with him. I
Page 1: Neutrinos and Some Aspects of Physi
Page 5: Declaration This thesis is a presen
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
Page 53 and 54: • The LL∆ term in Eq. (2.16) is
Page 55 and 56: Conjugacy Class Elements 1 1 ′ 2
Page 57 and 58: Bibliography [1] W. Pauli, “Dear
Page 59 and 60:
[20] H. V. Klapdor-Kleingrothaus et
Page 63 and 64:
Chapter 3 Two Higgs Doublet Type-II
Page 65 and 66:
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
Page 203:
Bibliography [1] Two Higgs doublet
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PHYS08200604017 Manimala Mitra - Homi Bhabha National Institute

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