Flavored Quantum Boltzmann Equations

Details Flavored Quantum Boltzmann Equations Flavored Quantum Boltzmann Equations

2009-12-18

arxiv.org/abs/0912.3523v2

Phys.Rev.D81:103503,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

41 pages, 7 figures. v2: references added, minor corrections and clarifications

Scientific paper

10.1103/PhysRevD.81.103503

We derive from first principles, using non-equilibrium field theory, the quantum Boltzmann equations that describe the dynamics of flavor oscillations, collisions, and a time-dependent mass matrix in the early universe. Working to leading non-trivial order in ratios of relevant time scales, we study in detail a toy model for weak scale baryogenesis: two scalar species that mix through a slowly varying time-dependent and CP-violating mass matrix, and interact with a thermal bath. This model clearly illustrates how the CP asymmetry arises through coherent flavor oscillations in a non-trivial background. We solve the Boltzmann equations numerically for the density matrices, investigating the impact of collisions in various regimes.

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