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arXiv 2502.09855hep-ph
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在轻子对撞机中观测手征对称性破缺的前景

Prospects for observing chiral symmetry breaking in lepton colliders

Maurice H. P. M. van Putten, Maryam A. Abchouyeh

AI总结:

该研究指出中子β衰变弱相互作用的宇称破缺源于中微子小质量导致的相空间缩减及Rindler空间双叶覆盖坍缩,预测TeV能量电子会出现单手性缩减,可由线性轻子对撞机检验,若证实则右手小质量中微子可能在低能存在。

摘要:

中子β衰变中的弱相互作用通过优先发射右手反中微子表现出宇称破缺。我们将这种对称性破缺归因于中微子质量小导致的相空间缩减。在动量交换的短暂间隔内,小质量中微子使发射过程接近Rindler空间的分叉视界,根据广义相对论等效原理,该视界由Minkowski空间M双重覆盖。在质量任意小的极限下,这种双叶覆盖有效坍缩为单叶,将Dirac旋量的维数从四减至二,使中微子成为单手性。这预测在TeV能量下产生的电子中会出现类似的单手性粒子态缩减,可通过计划中的线性轻子对撞机进行检验。若得到证实,右手小质量中微子有望在足够低的能量下存在。

英文摘要:

Weak interactions in neutron $β$-decay exhibit parity violation through the preferential emission of right-handed antineutrinos. We identify this symmetry breaking with a reduction of phase space due to the small neutrino mass. During a brief interval of momentum exchange, a small mass neutrino puts the emission process close to the bifurcation horizon of Rindler space, doubly covered by Minkowski space ${\cal M}$ as dictated by the Equivalence Principle of general relativity. In the limit of arbitrarily small mass, this two-sheet covering effectively collapses into a single sheet, reducing the dimension of Dirac spinors from four to two, leaving neutrinos single-handed. This predicts a similar reduction to single-handed particle states in electrons created at TeV energies, which may be tested with the planned linear leptonic colliders. If confirmed, right-handed small mass neutrinos are expected to exist at sufficiently low energies.

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