KamLAND-Zen Results: Search for Majorana Neutrinos in Inverted Mass Hierarchy

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Discussion Overview

The discussion revolves around the recent results from the KamLAND-Zen collaboration regarding the search for Majorana neutrinos, particularly in the context of inverted mass hierarchy (IH) and neutrinoless double-beta decay (0νββ) of 136Xe. Participants explore the implications of the findings, the significance of quasi-degenerate neutrino mass, and the experimental choices made in the study.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants highlight the improved limits on the effective electron neutrino mass from the KamLAND-Zen results, noting that the upper bound is in the range of 60-161 meV, which significantly rules out much of the quasi-degenerate region.
  • There is a discussion about the implications of a negative result in the context of Majorana versus Dirac neutrinos, with some suggesting that new physics could be a reason for the absence of a signal.
  • One participant seeks clarification on the concept of quasi-degenerate neutrino mass and its relation to the mass ordering of neutrinos, explaining that if the lightest neutrino mass is significantly small, the neutrinos would be hierarchical.
  • Another participant questions why 136Xe was chosen for the experiment over other isotopes with shorter half-lives, prompting a discussion on factors such as Q-values and uncertainties in nuclear matrix elements.
  • Concerns are raised regarding the interpretation of the results in light of neutrino oscillation data, with one participant suggesting that the data may indicate a disfavoring of Majorana neutrinos.
  • Clarifications are provided regarding the nature of the grey bands in the figures from the KamLAND-Zen paper, which represent upper limits from other 0νββ searches and are influenced by uncertainties in nuclear matrix elements.
  • It is noted that oscillation experiments do not provide insight into the Dirac or Majorana nature of neutrinos, as the oscillation probabilities remain unaffected by the presence of Majorana phases.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and interpretation regarding the implications of the KamLAND-Zen results, particularly concerning the nature of neutrinos and the significance of the findings. There is no consensus on the interpretation of the data in relation to Majorana neutrinos and oscillation experiments.

Contextual Notes

Participants acknowledge the complexities involved in interpreting the results, including uncertainties in nuclear matrix elements and the implications of mass ordering on neutrinoless double-beta decay experiments.

Orodruin
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I would like to draw some attention to the KamLAND-Zen collaboration, which recently made their latest results public on the arXiv:
Search for Majorana Neutrinos near the Inverted Mass Hierarchy region with KamLAND-Zen
KamLAND-Zen Collaboration
(Submitted on 10 May 2016)
We present an improved search for neutrinoless double-beta (0νββ) decay of 136Xe in the KamLAND-Zen experiment. Owing to purification of the xenon-loaded liquid scintillator, we achieved a significant reduction of the 110mAg contaminant identified in previous searches. Combining the results from the first and second phase, we obtain a lower limit for the 0νββ decay half-life of T0ν1/2>1.1×1026 yr at 90% C.L., an almost sixfold improvement over previous limits. Using commonly adopted nuclear matrix element calculations, the corresponding upper limits on the effective Majorana neutrino mass are in the range 60-161 meV. For the most optimistic nuclear matrix elements, this limit reaches the bottom of the quasi-degenerate neutrino mass region.

Comments: 6 pages, 3 figures
Subjects: High Energy Physics - Experiment (hep-ex); Nuclear Experiment (nucl-ex); Instrumentation and Detectors (physics.ins-det)
Cite as: arXiv:1605.02889 [hep-ex]
(or arXiv:1605.02889v1 [hep-ex] for this version)

The limits they put on the effective electron neutrino mass improve by almost an order of magnitude (the upper bound is in the range 60-161 meV, depending on the nuclear matrix element used) upon the previous best ones and we are now facing a situation where almost the entire quasi-degenerate region is ruled out and another order of magnitude or so would probe the inverted hierarchy (IH).

One thing worth remembering is that a signal in 0νββ would require neutrinos to be Majorana fermions and a negative result even after probing the IH and seeing IH in other experiments could be due to either neutrinos being Dirac fermions or new physics.

it is also worth noting that this result is a stronger bound than what was expected based on the KamLAND-Zen sensitivity, likely due to favourable statistical fluctuations. It will be quite some time before any other experiment can compete with this.
 
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So finally there are more results on 0vββ experiments, I am really interested.
Could someone explain roughly what quasi-degenerate neutrino mass is?
And why does the experiment use Xe-136, but not another double beta decaying isotope with less half life?
Thank you
 
Garlic said:
Could someone explain roughly what quasi-degenerate neutrino mass is?

From oscillation experiments, we currently have knowledge on the differences of the mass squares of the neutrino mass eigenstates ##\Delta m_{ij}^2 = m_i^2 - m_j^2##. The sign of ##\Delta m_{31}^2## is currently unknown and if it is positive it is referred to as normal ordering and otherwise as inverted ordering. However, oscillation experiments give us no insight to the absolute mass scale of the neutrinos, i.e., the lightest neutrino could still be massless. If it is massless or has a very small mass, the neutrino masses are hierarchical, i.e., their ratios are large. However, if the lightest neutrino mass ##m_0## is such that ##m_0^2 \gg |\Delta m_{31}|^2##, all neutrino masses will be of similar size. This would also mean that it would be very difficult to tell the ordering apart in neutrinoless double beta decay experiments as the effective mass measured in these experiments would be very similar.

You can see this in one of the figures of the KamLAND-Zen paper:
fig3.png

The quasi-degenerate regime starts when the lightest neutrino mass is around 0.1 eV.

As for the choice of nucleus, there are many factors other than half-life to consider, e.g., the Q-values and the uncertainties in the nuclear matrix element to mention a few. I am not an expert in the experimental implementation, someone else might be able to be more precise.
 
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I think I never saw this plot with the grey bands in it (not too surprising as I am not too much into that field). From the paper I take these are predictions based on neutrino oscillation measurements, and they seem to be excluded by the measurement. How is this currently interpreted? It seems to indicate that neutrino oscillation data disfavour neutrinos being majorana particles?
 
The grey bands are the upper limits from other 0νββ searches. The reason they are bands and not lines is mainly due to uncertainties in the nuclear matrix elements (NMEs) of the decaying isotopes.

Oscillation experiments are not sensitive to the Dirac/Majorana nature of neutrinos. The only difference in the oscillation formalism is the appearance of two Majorana phases in the lepton mixing matrix, neither of which affects the oscillation probabilities. The red and green bands show the allowed range of the plotted parameters based on oscillation experiments. Like the grey bands, the blue KamLAND-Zen band is the range of upper limits which are put on the effective neutrino mass depending on the NME.
 
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Ah, I think I misinterpreted what they mean by "dark shaded" in the caption. That way it makes much more sense, thanks for clarifying:)
 

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