Download An introduction to cosmology and particle physics by Mariano Quiros, Rosa Dominguez Tenreiro PDF

By Mariano Quiros, Rosa Dominguez Tenreiro

The booklet discusses, in line with a sequence of lectures given through the authors on the Universidad Autonoma of Madrid discusses the relation among cosmology and particle physics at a pedagogical point. the themes lined include a lot invaluable introductory fabrics. Very beneficial as a textual content for graduate scholars during this box.

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7(a), which represents a process whereby an electron emits a photon that is subsequently absorbed by a second electron. Although energy conservation is violated at the first vertex, this can be compensated by a similiar violation at the second vertex to give exact energy conservation overall. 7(a) represents a contribution to the physical elastic scattering process e− + e− → e− + e− from single-photon exchange. 7(b) in which the other electron emits the exchanged photon. Both processes contribute to the observed scattering.

22a) is |vα , p = |vi , p cos θij + vj , p sin θij . e. vβ , p = − |vi , p sin θij + vj , p cos θij . 26). 27a) B(t) = sin θij cos θij aj (t) − ai (t) . 25), P(vα → vβ ) = |B(t)|2 = sin2 (2θij ) sin2 11 See, for example, Chapter 1 of Mandl (1992). 28) Neutrino Masses and Neutrino Mixing 41 and thus oscillates with time, while the probability of finding a vα particle is reduced by a corresponding oscillating factor. 28). In particular, such oscillations are not possible if vi and vj both have zero masses.

However, if the antineutrino is present, the electron energy will not be unique, but will lie in the range me ≤ Ee ≤ ( M − mv¯e ) . 6), with mv¯e ≈ 0. Careful study of the spectrum near the end point Ee = M − mv¯e allows an upper limit to be set on the neutrino mass. The best results come from the β-decay of tritium 3 H → 3 He + e− + v¯ e , which gives mv¯e < 2 eV/c2 ≈ 4 × 10−6 me . 7) 30 Leptons and the Weak Interaction Such an extremely small mass can be ignored in most calculations,2 although we shall see later that there is strong evidence that neutrino masses are nonzero.

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