Two comments on double beta decay beyond the mass mechanism

M. Hirsch
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Abstract

Neutrinoless double beta decay is usually discussed in connection with Majorana neutrino masses. However, it is well-known that many different contributions to the decay amplitude could in principle exist. In this talk, I will concentrate on two recent papers on such exotic contributions to 0νββ decay. First the uncertainty in the determination of the short-range (SR) coefficients due to the running of the SR operators at low energies, i.e. (0.1 − 1) GeV, will be discussed. Then, I will turn - once more - to the long-range (LR) part amplitude of 0νββ decay. Here, I discuss the decomposition of all d = 7 ΔL = 2 operators that contribute to LR 0νββ decay. d = 7 operators can lead to models that generate neutrino masses at tree-, 1-loop or 2-loop level. I show one example of a 2-loop model in which the LR amplitude completely dominates over the mass mechanism.Neutrinoless double beta decay is usually discussed in connection with Majorana neutrino masses. However, it is well-known that many different contributions to the decay amplitude could in principle exist. In this talk, I will concentrate on two recent papers on such exotic contributions to 0νββ decay. First the uncertainty in the determination of the short-range (SR) coefficients due to the running of the SR operators at low energies, i.e. (0.1 − 1) GeV, will be discussed. Then, I will turn - once more - to the long-range (LR) part amplitude of 0νββ decay. Here, I discuss the decomposition of all d = 7 ΔL = 2 operators that contribute to LR 0νββ decay. d = 7 operators can lead to models that generate neutrino masses at tree-, 1-loop or 2-loop level. I show one example of a 2-loop model in which the LR amplitude completely dominates over the mass mechanism.
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关于质量机制之外的双衰变的两点评论
无中微子双β衰变通常与马约拉纳中微子质量联系在一起讨论。然而,众所周知,许多不同的贡献衰减幅度原则上可能存在。在这次演讲中,我将集中讨论最近两篇关于这种对0νββ衰变的奇异贡献的论文。首先,将讨论由于SR算符在低能量(即(0.1−1)GeV下运行而导致的短程(SR)系数测定中的不确定性。然后,我将再次转向0νββ衰减的长程(LR)部分振幅。在这里,我讨论所有d = 7 ΔL = 2算子的分解,这些算子有助于LR 0νββ衰变。D = 7算子可以导致模型产生在树环、1环或2环水平的中微子质量。我展示了一个双环模型的例子,其中LR振幅完全支配质量机制。无中微子双β衰变通常与马约拉纳中微子质量联系在一起讨论。然而,众所周知,许多不同的贡献衰减幅度原则上可能存在。在这次演讲中,我将集中讨论最近两篇关于这种对0νββ衰变的奇异贡献的论文。首先,将讨论由于SR算符在低能量(即(0.1−1)GeV下运行而导致的短程(SR)系数测定中的不确定性。然后,我将再次转向0νββ衰减的长程(LR)部分振幅。在这里,我讨论所有d = 7 ΔL = 2算子的分解,这些算子有助于LR 0νββ衰变。D = 7算子可以导致模型产生在树环、1环或2环水平的中微子质量。我展示了一个双环模型的例子,其中LR振幅完全支配质量机制。
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