在无中子双β衰变和中微子望远镜中检验双峰/分裂中微子假说
Testing the Bimodal/Schizophrenic Neutrino Hypothesis in Neutrinoless Double Beta Decay and Neutrino Telescopes
摘要：
标准的假设是，所有三个中微子质量态要么是狄拉克，要么是马约拉纳。然而，最近Allaverdi，Dutta和作者之一（R.N.M.）混合的或双峰的味中微子情景是可以想象的，并且与所有已知的观测结果一致（这些在ADM论文中被称为“精神分裂症”）。在这种情况下，每个质量本征态可以是狄拉克或马约拉纳，所以味本征态是两者的“大”混合物。这种“双峰”情况的一个例子是将一个质量态视为狄拉克粒子（有一个无菌伙伴），而另外两个是马约拉纳类型。由于只有马约拉纳粒子对无中微子双β衰变有贡献，在这种情况下，通常的中微子质量对观测结果的依赖性被修改了。我们对此进行了详细的研究，特别是概括了所有可能的双峰组合的想法。不可避免的是，辐射修正将在单圈水平上诱导狄拉克态的伪狄拉克性质，并且伪狄拉克质量分裂的影响将在来自遥远宇宙学源的中微子的风味比中表现出来。比较不同赝狄拉克情形下的无中微子双β衰变的有效质量以及中微子望远镜的味比，并与它们通常的现象学相比较，可以区分不同的双峰可能性。
英文摘要：
The standard assumption is that all three neutrino mass states are either Dirac or Majorana. However, it was recently suggested by Allaverdi, Dutta and one of the authors (R.N.M.) that mixed, or bimodal, flavor neutrino scenarios are conceivable and are consistent with all known observations (these were called "schizophrenic" in the ADM paper). In that case each individual mass eigenstate can be either Dirac or Majorana, so that the flavor eigenstates are "large" admixtures of both. An example of this "bimodal" situation is to consider one mass state as a Dirac particle (with a sterile partner), while the other two are of Majorana type. Since only Majorana particles contribute to neutrinoless double beta decay, the usual dependence of this observable on the neutrino mass is modified within this scenario. We study this in detail and, in particular, generalize the idea for all possible bimodal combinations. Inevitably, radiative corrections will induce a pseudo-Dirac nature to the Dirac states at the one-loop level, and the effects of the pseudo-Dirac mass splitting will show up in the flavor ratios of neutrinos from distant cosmological sources. Comparison of the effective mass in neutrinoless double beta decay as well as flavor ratios at neutrino telescopes, for different pseudo-Dirac cases and with their usual phenomenology, can distinguish the different bimodal possibilities.
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