By Julien Lesgourgues, Gianpiero Mangano, Gennaro Miele, Sergio Pastor
ISBN-10: 1139615866
ISBN-13: 9781139615860
He function that neutrinos have performed within the evolution of the Universe is the point of interest of 1 of the main interesting examine components that has stemmed from the interaction among cosmology, astrophysics and particle physics. during this self-contained e-book, the authors assemble all facets of the function of neutrinos in cosmology, spanning from leptogenesis to primordial nucleosynthesis, their position in CMB and constitution formation, to the matter in their direct detection. The publication begins by way of guiding the reader via points of basic neutrino physics, akin to the normal cosmological version and the statistical mechanics within the increasing Universe, prior to discussing the background of neutrinos in chronological order from the very early phases till this day. This well timed booklet will curiosity graduate scholars and researchers in astrophysics, cosmology and particle physics, who paintings with both a theoretical or experimental concentration.
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Sample text
132) 0 and the evolution equation then becomes i m2k1 †γ d γ Aνα →νβ (L) = Uβk Uk + δβ δβe VCC dL 2|p| γ ≡ (HF )β Aνα →νγ (L). 133) It can easily be proved that Majorana phases do not affect the effective Hamiltonian HF ; hence the possible Majorana nature of neutrinos cannot be revealed either in vacuum or in matter. To better elucidate the properties of Eq. 133), consider the electron and muon neutrino bidimensional space, and two corresponding mass eigenstates ν1 and ν2 . 135) and m2 ≡ m22 − m21 .
92) (valid for both Dirac and Majorana neutrinos): GF A3 H→3 He + e− + ν¯k = − √ Vud Uαk 2 3 He|uu γ ρ (1 − γ5 )ud |3 H × e− ν¯ k |ue γρ (1 − γ5 )uνk |0 GF = − √ Vud Uαk 2 3 He|uu γ ρ (1 − γ5 )ud |3 H ue γρ (1 − γ5 )uνk . 156) The mixing matrix U differs in the Dirac and Majorana cases, because of the presence of extra phases in the latter. However, in the amplitude squared modulus 46 The basics of neutrino physics such a difference cannot be appreciated. As for the case of negligible mixing, we can define a Kurie function 1/2 3+Ns K(T ) = (Qβ − T ) |Uek | 2 (Qβ − T )2 − m2k .
We review here the main concepts which we think the reader should become familiar with (if not already) and which will be used in the following. , Giunti and Kim, 2007). Dirac mass A Dirac mass term for neutrinos can be introduced in the SM as for quarks or charged leptons. To this end, it is enough to add three right-handed neutrino fields ναR with α = e, μ, τ which are sterile, in the sense that they are singlet under the whole gauge group and are not interacting with all other particles. c. 48) After spontaneous symmetry breaking, as we discussed for quarks, the mass terms are obtained after the matrices Y l and Y ν are diagonalized through biunitary transformations l† VL Y l VRl = Y l , l Yαβ = yαl δαβ ν† VL Y ν VRν = Y ν , ν Yαβ = yαν δαβ .
Neutrino Cosmology by Julien Lesgourgues, Gianpiero Mangano, Gennaro Miele, Sergio Pastor
by David
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