真空中微子振荡中的普朗克尺度信号

中文摘要 AI 辅助

我们提出了一个闭式微扰框架，用于描述在标准模型有效场论的维度五Weinberg算子所产生的弱、味盲普朗克尺度质量修正存在下的两味真空中的中微子振荡。该微扰处理在结构上直接类比了用于描述弱地球物质效应的方法。我们推导出了振荡长度、振荡相位和味转换概率修改的简单解析表达式，这些表达式对任意中微子混合和基线长度均有效。与物质诱导的扰动不同，普朗克尺度修正沿中微子轨迹是恒定的。因此，它对转换概率的影响在振幅水平上保持有界且与基线无关，而相关的有效质量平方分裂的修改则产生了一个随传播距离线性增加的相位失配。我们进一步展示了下一代长基线和反应堆中微子实验（包括DUNE、Hyper-Kamiokande和JUNO）的说明性数量级灵敏度预测。我们的结果表明，累积的相位漂移为探测普朗克尺度质量修正以及区分可能的量子引力贡献与常规物质诱导效应提供了一个特别有前景的观测量。

英文摘要

We present a closed-form perturbative framework for two-flavour vacuum neutrino oscillations in the presence of a weak, flavour-blind Planck-scale mass correction generated by the dimension-five Weinberg operator of the Standard Model Effective Field Theory. The perturbative treatment is developed in direct structural analogy with approaches used to describe weak Earth-matter effects. We derive simple analytical expressions for the modification of the oscillation length, the oscillation phase, and the flavour-conversion probability, valid for arbitrary neutrino mixing and baseline lengths. Unlike matter-induced perturbations, the Planck-scale correction is constant along the neutrino trajectory. Consequently, its effect on the transition probability remains bounded and independent of the baseline at the amplitude level, while the associated modification of the effective mass-squared splitting produces a phase mismatch that increases linearly with propagation distance. We further present illustrative order-of-magnitude sensitivity projections for next-generation long-baseline and reactor neutrino experiments, including DUNE, Hyper-Kamiokande, and JUNO. Our results indicate that the accumulated phase drift provides a particularly promising observable for probing Planck-scale mass corrections and for distinguishing a possible quantum-gravity contribution from conventional matter-induced effects.

发表机构

• Kirori Mal College, University of Delhi（德里大学基里马尔学院）
• Jamia Millia Islamia（贾米亚米利亚伊斯兰大学）

机构由 AI 辅助整理，请以论文原文为准。

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10 pages and 1 figure