ERRATA. ± Lines are calculated before ( ) or after (+) the Anchor. If the Anchor is a page, t and b indicate, respectively, top and bottom.

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1 ERRATA 22/02/2010 Fundamentals of Neutrino Physics and Astrophysics C. Giunti and C.. Kim Oxford University Press publication date: 15 March 2007; 728 pages ± Lines are calculated before or after + the Anchor. If the Anchor is a page, t and b indicate, respectively, top and bottom. page iii t + 5 Universita Università Chapter 1 page 4 b Chapter 2 eqn /p P mγ 0 u h p P 0 /p mγ 0 u h p P 0 eqn following eqn following eqn eqn eqn A A A A

2 714 ERRATA Chapter 2 eqn S T T ξb T ψ b ψ a T ξb T S eqn T ξt a ξb T ψ b γ ψ a ξt a ξb T eqn T ν T ξt a ξb T ψ b σ ν ψ a ξt a ξb T T ν eqn A T T ξb T ψ b γ γ 5 ψ a eqn ξt a ξb T A P T ξ a T ξb T ψ b γ 5 ψ a ξ a T ξb T P S T ξ a T ξb T ψ a ψ b ξ a T ξb T S T ξt a ξb T ψ a γ ψ b ξt a ξb T T ν T ξt a ξb T ψ a σ ν ψ b ξt a ξb T T ν A T ξt a ξb T ψ a γ γ 5 ψ b ξt a ξb T A T eqn ξ T T ξ eqn ξ a + ξt a ξb T ξb T ξ T ξt a ξb T A ξ T A P T ξ a T ξb T ψ a γ 5 ψ b ξ a T ξb T P T ξ T ξt a ξb T ξ T T A A +

3 ERRATA 715 Chapter 2 eqn S CPT CPT ξb CPT ψ a ψ b CPT ξb CPT S eqn CPT ξcpt a ξb CPT ψ a γ ψ b ξcpt a ξb CPT eqn T ν CPT ξcpt a ξb CPT ψ a σ ν ψ b ξcpt a ξb CPT T ν eqn A CPT ξ a CPT ξb CPT ψ a γ γ 5 ψ b ξ a CPT ξb CPT A eqn P CPT CPT ξb CPT ψ a γ 5 ψ b CPT ξb CPT P eqn Since all the covariant bilinears are left invariant by a CPT transformation, apart for a possible irrelevant phase which is the same for the vector and axial currents, any possible interaction Lagrangian is invariant under CPT, in agreement with the CPT theorem, which says that CPT is a symmetry of any relativistic local field theory. S CPT ξcpt a ξb CPT ψ b ψ a ξcpt a ξb CPT S CPT ξcpt a ξb CPT ψ b γ ψ a ξcpt a ξb CPT T ν CPT ξcpt a ξb CPT ψ b σ ν ψ a ξcpt a ξb CPT T ν A CPT ξcpt a ξb CPT ψ b γ γ 5 ψ a ξcpt a ξb CPT A P CPT ξcpt a ξb CPT ψ b γ 5 ψ a ξcpt a ξb CPT P Choosing ξcpt a ξb CPT, CPT transforms each covariant bilinear into its Hermitian conjugate, with a minus sign for and A. Since an interaction Lagrangian containing a covariant bilinear must contain also its Hermitian conjugate the Lagrangian is Hermitian, it is invariant under CPT. The minus sign in the transformation of and A is compensated by a corresponding minus sign in the transformation of the vector or axial fields to which they are coupled. The invariance under CPT of any interaction Lagrangian containing a covariant bilinear is in agreement with the CPT theorem, which says that CPT is a symmetry of any relativistic local field theory.

4 716 ERRATA Chapter 3 eqn [ I I + 1 ] [ I3 v 2 2 I 3 v 2 I I + 1 I3 2 I 2 3 v 2 2 ] v 2 Chapter 4 cos ϑ e eqn 4.22 iω 1 sin ϑ e iω 2 +η cos ϑ e iω 1 sin ϑ e iω 1 η cos ϑ e iω 2 ω1 0 e iω1 0 eqn ω 2 0 e ω 2 sin ϑ e iω 1 +η sin ϑ e iω 2 η cos ϑ e iω 2 eqn ϑ 13, η 13 D 1 η 13 R 13 D 1 η ϑ 13, η 13 η 12 η 23 eqn η 13 η 13 η 12 η 23 eqn One can parameterize the mixing matrix as a product of the type in eqn 4.65 with ϑ π/2, η on the extreme left or the extreme right. Using If ϑ π/2, η is on the extreme left or on the extreme right of the product in eqn 4.45 which parameterizes the mixing matrix, using eqn 4.78 δ 13 η 13 δ 13 η 13 + η 12 + η 23 eqn eqn eqn Chapter 5 eqn Q2 6 rn i 2 G N i 0 Q2 6 rn i 2

5 ERRATA 717 Chapter 6 eqn 6.1 L αl L αl page 208 t + 5 [532,79,79,408] [532,79,N1,408] New Reference: [N1] P. Langacer, M.-X. Luo, Phys. Rev. D44, 817, page 227 t + 11 [532,79,79,408] [532,79,N1,408] page 228 b 2 [814] [N2,N3] New References: [N2] G. Lazarides, Q. Shafi, C. etterich, Nucl. Phys. B181, 287, [N3] R.N. Mohapatra and G. Senjanovic, Phys. Rev. D23 165, eqn n i M 1 n 2 n i M n eqn l αl γ ρ U α ν L l αl γ ρ U α ν L ρ eqn l L γ ρ U n L l L γ ρ U n L ρ Chapter 8 eqn M P α or MD α M P α and MD α eqn σt I σp I σt I σx I Chapter 10 eqn as an effectively incoherent sum as effectively incoherent sums

6 718 ERRATA Chapter 11 eqn R multi-ge /e R sub-ge /e Chapter 12 eqn Neglecting the small recoil energy of the neutron, the The Chapter 17 eqn He 2 H eqn an upper limit a lower limit Appendix A δ eqn A.19 ǫ ij ǫ lmn il δ im δ in δ jl δ jm δ in ǫ ij ǫ lmn δ l δ m δ n Appendix B δ il δ im δ in δ jl δ jm δ jn δ l δ m δ n eqn B.17 g αρ Λ T ρ gν Λ ρ ν δ α ν g αρ Λ T ρ gν Λ ν σ δ α σ Appendix C eqn C.11 [ψ r t, x, π s t, y] ± i δ rs δ 3 x y eqn C.12 [ψ r t, x, ψ s t, y] ± [π r t, x, π s t, y] ± 0 [ψ r t, x, π s t, y] ± i δ rs δ 3 x y [ψ r t, x, ψ s t, y] ± [π r t, x, π s t, y] ± 0

7 ERRATA 719 Bibliography Ref. [813] J. Phys. Conf. Ser., 53, 44-82, 2006 page 693 [731] and [732] are the same Ann. Rev. Nucl. Part. Sci., 56, , 2006