The recent tension between local and early measurements of the Hubble constant can be explained in a particle physics context. A mechanism is presented where this tension is alleviated due to the presence of a Majoron, arising from the spontaneous breaking of Lepton Number. The lightness of the active neutrinos is consistently explained. Moreover, this mechanism is shown to be embeddable in the minimal (Lepton) flavour violating context, providing a correct description of fermion masses and mixings, and protecting the flavour sector from large deviations from the Standard Model predictions. A QCD axion is also present to solve the Strong CP problem. The Lepton Number and the Peccei–Quinn symmetries naturally arise in the minimal (Lepton) flavour violating setup and their spontaneous breaking is due to the presence of two extra scalar singlets. The Majoron phenomenology is also studied in detail. Decays of the heavy neutrinos and the invisible Higgs decay provide the strongest constraints in the model parameter space.

哈勃常数的局部测量和早期测量之间的最新张力可以在粒子物理学的背景下进行解释。提出了一种机制，其中由于出现了轻子数的自发破裂而导致的马洛顿效应，从而缓解了这种张力。一致地解释了活性中微子的亮度。此外，该机制被证明可嵌入到违反最小（Lepton）风味的环境中，提供了对费米子质量和混合的正确描述，并保护了风味区免受标准模型预测的较大偏差。QCD轴也可以解决强CP问题。Lepton数和Peccei-Quinn对称性在违反最小（Lepton）风味的设置中自然产生，并且由于两个额外的标量单线态而自发破裂。还对马龙现象学进行了详细研究。重中微子的衰减和不可见的希格斯衰变在模型参数空间中提供了最强的约束。