PHYS08200604017 Manimala Mitra - Homi Bhabha National Institute

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Bibliography [1] Two Higgs doublet type III seesaw with µ−τ symmetry at LHC, P. Bandyopadhyay, S. Choubey and M. Mitra, JHEP 0910, 012 (2009) [arXiv:0906.5330 [hep-ph]]. [2] Spontaneous R-parity violating type III seesaw, S. Choubey and M. Mitra, JHEP 1005, 021 (2010) [arXiv:0911.2030 [hep-ph]]. [3] A 4 flavor symmetry and neutrino phenomenology, B. Brahmachari, S. Choubey and M. Mitra, Phys. Rev. D 77, 073008 (2008) [arXiv:0801.3554 [hep-ph]]. [4] Lepton masses in a minimal model with triplet Higgs bosons and S 3 flavor symmetry, M. Mitra and S. Choubey, Phys. Rev. D 78, 115014 (2008) [arXiv:0806.3254 [hep-ph]]. viii
Publication and Preprints 1. Two Higgs doublet type III seesaw with µ−τ symmetry at LHC, P. Bandyopadhyay, S. Choubey and M. Mitra, JHEP 0910, 012 (2009) [arXiv:0906.5330 [hep-ph]]. 2. Spontaneous R-parity violating type III seesaw, S. Choubey and M. Mitra, JHEP 1005, 021 (2010) [arXiv:0911.2030 [hep-ph]]. 3. A 4 flavor symmetry and neutrino phenomenology, B. Brahmachari, S. Choubey and M. Mitra, Phys. Rev. D 77, 073008 (2008) [arXiv:0801.3554 [hep-ph]]. 4. Lepton masses in a minimal model with triplet Higgs bosons and S 3 flavor symmetry, M. Mitra and S. Choubey, Phys. Rev. D 78, 115014 (2008) [arXiv:0806.3254 [hep-ph]]. 5. Spontaneous R-Parity Violation, A 4 Flavor Symmetry and Tribimaximal Mixing 1 , M. Mitra, arXiv:0912.5291 [hep-ph]. 1 Not included in the thesis ix
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 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
Page 68 and 69: while U ν diagonalizes m ν and ˜
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It is evident that the masses of th
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0.001 0.001 0.0001 0.0001 U e3 1e-0
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if we neglect terms proportional to
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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
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the sinα term. However, decay to h
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Σ − m 1 ->ν m1 W Σ 0 m 1 ->ν
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Γ 2HDM (Σ 0 m → ν m H 0 ) ≃
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Decay modes Σ ± m 1 Σ ± m 2 Σ
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III seesaw model. Clearly, for our
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Sl no Channels Effective cross-sect
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• The other dominant decay channe
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Page 100 and 101:
Page 102 and 103:
3.9 Conclusions The seesaw mechanis
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Appendix A: The Scalar Potential an
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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 −
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Bibliography [1] S. Weinberg, Phys.
Page 114:
Lett. B 615, 231 (2005); Phys. Rev.
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violating λ ′′ coupling are co
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neutralino-neutrinomassmatrixandins
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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
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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 =
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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
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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
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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
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We show the values of |U e3 | ≡ s
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while the branching ratio for this
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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
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metric standard model in chapter 1.
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mally two. However the R-parity vio
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sector contains the exact/approxima
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PHYS08200604017 Manimala Mitra - Homi Bhabha National Institute

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