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arXiv · 0912.3523

Flavored Quantum Boltzmann Equations

Vincenzo Cirigliano·Christopher Lee·Michael J. Ramsey-Musolf·Sean Tulin
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Abstract

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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Vincenzo Cirigliano, Christopher Lee, Michael J. Ramsey-Musolf, Sean Tulin. 2010-02-16. Flavored Quantum Boltzmann Equations. https://doi.org/10.1103/physrevd.81.103503

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