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arXiv 2103.16362hep-phhep-th
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中微子振荡的壳层上方法

An on-shell approach to neutrino oscillations

Gustavo F. S. Alves, Enrico Bertuzzo, Gabriel M. Salla

摘要:

在通常的量子场论方法中,中微子振荡被对角化质量或物质哈密顿量来研究。在本文中,我们分析的问题,从壳振幅的角度来看,拉格朗日或哈密顿不可用。我们首先详细研究味道如何进入振幅和PMNS矩阵如何出现。然后,我们分析了两个中微子和两个带电轻子的弹性振幅,诱导物质效应,并提出了一种策略,以获得已知的结果的标准振荡理论没有哈密顿。最后,我们扩展了以前提出的程序,并使用最一般的弹性4点振幅研究超越标准模型的影响振荡。

英文摘要:

In the usual quantum field theoretical approach, neutrino oscillations are studied diagonalising either the mass or matter Hamiltonians. In this paper we analyse the problem from an on-shell amplitude perspective, where Lagrangians or Hamiltonians are not available. We start by studying in detail how flavor enters in the amplitudes and how the PMNS matrix emerges. We then analyse the elastic amplitude of two neutrinos and two charged leptons that induce matter effects and propose a strategy to obtain the known results of the standard oscillation theory without Hamiltonians. Finally, we extend the previously proposed procedure and use the most general elastic 4-point amplitude to study beyond the Standard Model effects on oscillations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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