PHYS08200604017 Manimala Mitra - Homi Bhabha National Institute

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would like to thank Rajesh Kumar Gupta, Santosh Kumar Singh, Dr. Pomita Ghoshal, Anushree Ghosh, Atri Bhattacharya, Sanjoy Biswas, Satyanarayan Mukhopadhyay, Joydeep Chakraborty, Akhilesh Nautiyal, M C Kumar, Nishita Desai, Abhijit Bandyopadhyaya, Subhaditya Bhattacharya and Dr. Paramita Dey for very enjoyable physics as well as non-physics discussions. My special thanks goes to Archana S. Morye, Dr. Anupama Panigrahi and Atashi Das. Because of them, my five years stay at HRI has become much more enjoyable and meaningful. I would also like to thank all the students, post-docs and my friends of HRI with whom I have interacted, specially Shankha, Akansha, Shrobona, Swapnomoy, Nyayabanta, Arjun da, Nabamita di, Suvankar da, Arijit da, Siddhartha da, Shamik, Ushoshi, Shweta, Rachna, Sini and Bobo. A very heartful thanks goes to our music teacher Mr. Hanuman Prasad Gupta, Dr. Rukmini Dey and all the participants of our “Music and Poetry Session”. My stay at HRI has become much more colourful because of them. My special thanks goes to Seema and Archana Madam. Spires, arXiv, Google, HRI computer and cluster section helped me in a significant way to carry out my research forward. I express my deep gratitude to my parents and acknowledge with pleasure that without their love, affection and support, it would never have been possible for me to pursue my Ph.D work. I would also like to thank my close friends and relatives for being extremely supportive during my Ph.D years. I dedicate this thesis to my parents. ii
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Page 1: Neutrinos and Some Aspects of Physi
Page 5: Declaration This thesis is a presen
Page 9: Acknowledgments First and foremost,
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 and 24: Contents 1 Introduction 1 1.1 Stand
Page 25: 6.2.2 Charged Lepton Masses and Mix
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
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while U ν diagonalizes m ν and ˜
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It is evident that the masses of th
Page 72 and 73:
0.001 0.001 0.0001 0.0001 U e3 1e-0
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if we neglect terms proportional to
Page 76 and 77:
calculations for lepton flavor viol
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fb. Therefore, it is obvious that t
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Σ − -> e m 1 m h 0 Σ − -> e m
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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
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Γ 2HDM (Σ 0 m → ν m H 0 ) ≃
Page 90 and 91:
Decay modes Σ ± m 1 Σ ± m 2 Σ
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III seesaw model. Clearly, for our
Page 94 and 95:
Sl no Channels Effective cross-sect
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• The other dominant decay channe
Page 98 and 99:
Page 100 and 101:
Page 102 and 103:
3.9 Conclusions The seesaw mechanis
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Appendix A: The Scalar Potential an
Page 106 and 107:
B: The Interaction Lagrangian B.1:
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C H0 ,L 1√ ll 2 (T 11Y † l S 11
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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.
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violating λ ′′ coupling are co
Page 120 and 121:
neutralino-neutrinomassmatrixandins
Page 122 and 123:
4.3 Symmetry Breaking In this secti
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+(M 2 +m 2 Σ )ũ2 + ∑ m 2˜ν i
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Here M 1,2 are the soft supersymmet
Page 128 and 129:
is violated, we have neutrino-neutr
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(M 1,2 ,M,µ,Y Σi ,v 1,2 ,ũ,u i )
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In our model in addition to the sta
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4.8 Conclusion In this work we have
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Y Σi √2 ĤuˆΣ 0 0c Rˆν L i
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while the parameter α 1 is α 1 =
Page 140 and 141:
Bibliography [1] S. Roy and B. Mukh
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[15] M. C. Gonzalez-Garcia and J. W
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ν i A Σi • ˜ν i h,H,A × χ
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118
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of the form ⎛ ⎞ A B B m ν =
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triplet representation of A 4 , l =
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m 0 =0.016 m 0 =0.024 m 0 =0.032 2
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Higgs Neutrino mass matrix Eigenval
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5.3. The deviation of the mixing an
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Sin 2 θ 12 Sin 2 θ 13 Sin 2 θ 23
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Figure 5.5: Scatter plot showing th
Page 162 and 163:
Figure 5.6: Same as Fig. 5.5 but fo
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mass matrix is then given as ⎛ m
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Bibliography [1] M. C. Gonzalez-Gar
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140
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142
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a way that the residual µ−τ sym
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where Λ is the cut-off scale of th
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m 2 . The eigenvectors are given as
Page 178 and 179:
For λ ≃ 2 × 10 −2 ≃ λ2 c 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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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
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where we have defined B = (b+f 1 +f
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VEV alignments. Another way the VEV
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(2006); M. Maltoni, T. Schwetz, M.
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168
Page 198 and 199:
metric standard model in chapter 1.
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mally two. However the R-parity vio
Page 202 and 203:
sector contains the exact/approxima
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PHYS08200604017 Manimala Mitra - Homi Bhabha National Institute

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