以暗物质为导向扩展标准模型：狄拉克相似原理和最小希格斯假设
Using Dark Matter as a Guide to extend Standard Model: Dirac Similarity Principle and Minimum Higgs Hypothesis
摘要：
我们引入了“狄拉克相似原理”，该原理指出，只有那些可以与狄拉克电子相互作用的点状狄拉克粒子才能被观察到，例如在标准模型中。我们强调标准模型的现有世界是一个满足狄拉克相似原理的狄拉克世界，并相信标准模型的直接推广也将如此。另一方面，我们在过去的四十年里一直在寻找希格斯粒子，但仍然没有找到什么东西，这自然导致了“最小希格斯假说”。现在我们已经确定中微子的质量很小，但在最小标准模型中，没有这样小质量的自然来源。如果没有别的，这可以被视为超重$Z^{\prime 0}$存在的线索，因为它需要额外的希格斯场，这将有助于产生中微子微小的质量。或者，我们可能因为某种原因错过了右手扇区。左右对称电弱模型的简化版本有最简单的希格斯扇区（其中有一个标准的左手希格斯偶极子和镜像右手希格斯偶极子），其中希格斯扇区也满足“最小希格斯假设”。或者，如果我们质疑族对称性的起源，我们可以考虑把它扩大到族规范对称性。它透露出非常微弱的家庭互动。上述所有可能性都满足所谓的“狄拉克相似原理”、“最小希格斯假设”和可重整化性。
英文摘要：
We introduce the "Dirac similarity principle" that states that only those point-like Dirac particles which can interact with the Dirac electron can be observed, such as in the Standard Model. We emphasize that the existing world of the Standard Model is a Dirac world satisfying the Dirac similarity principle and believe that the immediate extension of the Standard Model will remain to be so. On the other hand, we are looking for Higgs particles for the last forty years but something is yet to be found. This leads naturally to the "minimum Higgs hypotheses". Now we know firmly that neutrinos have tiny masses, but in the minimal Standard Model there is no natural sources for such tiny masses. If nothing else, this could be taken as the clue as the signature of the existence of the extra heavy $Z^{\prime 0}$ since it requires the extra Higgs field, that would help in generating the neutrino tiny masses. Alternatively, we may have missed the right-hand sector for some reason. A simplified version of the left-right symmetric electroweak model has the simplest Higgs sector (in which there is one standard left-hand Higgs doublet together with the image right-handed Higgs doublet), of which the Higgs sector also satisfies the "minimum Higgs hypothesis". Or, if we question the origin of the family symmetry, we may consider to enlarge it to the family gauge symmetry. It transpires very feeble family interactions. All the above possibilities satisfy both the so-called "Dirac similarity principle", the "minimum Higgs hypothesis", and renormalizability.
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