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arXiv 1307.7680hep-ph
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非相对论性Majorana中微子的有效场论

An effective field theory for non-relativistic Majorana neutrinos

Simone Biondini, Nora Brambilla, Miguel Angel Escobedo, Antonio Vairo

摘要:

重的马约拉纳中微子进入了标准模型之外的许多物理场景:在最初的跷跷板机制中,它们为标准模型中微子的小质量提供了一个自然的解释,在最简单的leptogenesis框架中,它们是宇宙重子物质的起源。本文发展了一个非相对论性Majorana粒子的有效场论,它类似于重夸克有效场论。然后,我们将其应用到的情况下,一个沉重的马约拉纳中微子衰变的热和稠密的等离子体的标准模型粒子,其温度是远远小于马约拉纳中微子的质量,但仍然远远大于电弱标度。中微子宽度得到零温度的贡献,可以计算从真空中的矩阵元素,和热修正。将只讨论后者。有效场论所提出的对称性和功率计数的论点限制了热修正的形式,简化了热修正的计算。最后的结果与最近用不同方法得到的测定结果一致。本文提出的有效场论适用于各种不同的非相对论马约拉纳费米子模型。

英文摘要:

Heavy Majorana neutrinos enter in many scenarios of physics beyond the Standard Model: in the original seesaw mechanism they provide a natural explanation for the small masses of the Standard Model neutrinos and in the simplest leptogenesis framework they are at the origin of the baryonic matter of the universe. In this paper, we develop an effective field theory for non-relativistic Majorana particles, which is analogous to the heavy-quark effective theory. Then, we apply it to the case of a heavy Majorana neutrino decaying in a hot and dense plasma of Standard Model particles, whose temperature is much smaller than the mass of the Majorana neutrino but still much larger than the electroweak scale. The neutrino width gets zero-temperature contributions that can be computed from in-vacuum matrix elements, and thermal corrections. Only the latter will be addressed. Symmetry and power counting arguments made manifest by the effective field theory restrict the form of the thermal corrections and simplify their calculation. The final result agrees with recent determinations obtained with different methods. The effective field theory presented here is suitable to be used for a variety of different models involving non-relativistic Majorana fermions.

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