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arXiv 1502.07987hep-ph
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半经典和Kadanoff-Baym方法研究共振光生中的味效应

Flavour effects in Resonant Leptogenesis from semi-classical and Kadanoff-Baym approaches

P. S. Bhupal Dev, Peter Millington, Apostolos Pilaftsis, Daniele Teresi

备注：
15 pages, 4 figures; one reference added; contribution to the Proceedings of DISCRETE 2014, London
发表信息：
2015 J. Phys.: Conf. Ser. 631 012087
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摘要：

在许多粒子物理现象中，味效应在粒子数密度的统计演化中起着重要的作用。我们提出了一个完整的味道协变形式主义的运输现象，以一贯地捕捉系统中的所有味道的影响。我们明确地研究了共振Leptogenesis（RL）的情况下，味协方差需要考虑一般的非对角数密度，在味空间中的秩4率张量，和非平凡的推广的离散对称C，P和T。在我们的半经典框架下得到的味协变输运方程描述了三种相关物理现象的影响：相干重中微子振荡，带电轻子扇区中的量子退相干，以及由于重中微子混合引起的共振CP破坏。我们定量地表明，最终的不对称性增强了一个数量级，电弱尺度的重中微子相比，从味道对角或部分味道非对角方程。基于Kadanoff-Baym（KB）方程的弱共振区的全场论处理证实了重中微子振荡和混合是两种不同的现象，并再现了在我们的半经典框架中得到的结果。最后，我们表明，准粒子ansaetze，经常采用KB方法RL，丢弃的混合现象，捕捉只有振荡，并导致低估了最终的不对称性的一个因素的顺序2。

英文摘要：

Flavour effects play an important role in the statistical evolution of particle number densities in several particle physics phenomena. We present a fully flavour-covariant formalism for transport phenomena, in order to consistently capture all flavour effects in the system. We explicitly study the scenario of Resonant Leptogenesis (RL), and show that flavour covariance requires one to consider generically off-diagonal number densities, rank-4 rate tensors in flavour space, and non-trivial generalization of the discrete symmetries C, P and T. The flavour-covariant transport equations, obtained in our semi-classical framework, describe the effects of three relevant physical phenomena: coherent heavy-neutrino oscillations, quantum decoherence in the charged-lepton sector, and resonant CP violation due to heavy-neutrino mixing. We show quantitatively that the final asymmetry is enhanced by up to an order of magnitude, for electroweak-scale heavy neutrinos, as compared to that obtained from flavour-diagonal or partially flavour off-diagonal equations. A full field-theoretic treatment in the weakly-resonant regime, based on the Kadanoff-Baym (KB) equations, confirms that heavy-neutrino oscillations and mixing are two distinct phenomena, and reproduces the results obtained in our semi-classical framework. Finally, we show that the quasi-particle ansaetze, often employed in KB approaches to RL, discard the phenomenon of mixing, capturing only oscillations and leading to an underestimate of the final asymmetry by a factor of order 2.

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