Possibility of measuring the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math>Majorana phases in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>0</mml:mn><mml:mi>ν</mml:mi><mml:mi>β</mml:mi><mml:mi>β</mml:mi></mml:math>decay

Šimkovic, F.; Bilenky, S.M.; Faessler, Amand; Gutsche, Th.

doi:10.1103/physrevd.87.073002

Cited by 27 publications

(30 citation statements)

References 63 publications

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“…The most prominent scenario where such an operator is generated is through the inclusion of heavy sterile neutrinos [17]. In the above classification we do not include the case where additional light states are either mediating the decay or are emitted in it (e.g.…”

Section: Introductionmentioning

confidence: 99%

“…The NMEs of the nuclear 0νββ transitions are notoriously difficult to calculate and limits derived from 0νββ decay are affected for any contribution. Detailed treatments using different nuclear structure model approaches can for example be found in [30][31][32][33][34][35][36][37][38][39] [42]. For more details on the effective 0νββ interaction, see for example the review [43] and references therein.…”

Section: Introductionmentioning

confidence: 99%

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Short-range neutrinoless double beta decay mechanisms

et al. 2018

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Neutrinoless double beta decay can significantly help to shed light on the issue of non-zero neutrino mass, as observation of this lepton number violating process would imply neutrinos are Majorana particles. However, the underlying interaction does not have to be as simple as the standard neutrino mass mechanism. The entire variety of neutrinoless double beta decay mechanisms can be approached effectively. In this work we focus on a theoretical description of short-range effective contributions to neutrinoless double beta decay, which are equivalent to 9-dimensional effective operators incorporating the appropriate field content. We give a detailed derivation of the nuclear matrix elements and phase space factors corresponding to individual terms of the effective Lagrangian. Using these, we provide general formulae for the neutrinoless double beta decay half-life and angular correlation of the outgoing electrons.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Short-range neutrinoless double beta decay mechanisms

et al. 2018

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“…These are the extreme cases which determine the minimum and maximum values of |m ββ |. The areas between the CP-conserving curves correspond to values of |m ββ | which are allowed only in the case of CP violation [31,[50][51][52][53][54] (although there is no manifest CP violation [55]). Figure 3 shows also the 90% C.L.…”

Section: Jhep07(2015)171mentioning

confidence: 99%

Predictions for neutrinoless double-beta decay in the 3+1 sterile neutrino scenario

Giunti

Zavanin

2015

J. High Energ. Phys.

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We present accurate predictions of the effective Majorana mass |m ββ | in neutrinoless double-β decay in the standard case of 3ν mixing and in the case of 3+1 neutrino mixing indicated by the reactor, Gallium and LSND anomalies. We have taken into account the uncertainties of the neutrino mixing parameters determined by oscillation experiments. It is shown that the predictions for |m ββ | in the cases of 3ν and 3+1 mixing are quite different, in agreement with previous discussions in the literature, and that future measurements of neutrinoless double-β decay and of the effective light neutrino mass in β decay or the total mass of the three lightest neutrinos in cosmological experiments may distinguish the 3ν and 3+1 cases if the mass ordering is determined by oscillation experiments. We also present a relatively simple method to determine the minimum value of |m ββ | in the general case of N -neutrino mixing.

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“…Hence how to interpret a discovery or null result of the 0ν2β decay in the foreseeable future is highly nontrivial and deserves special attention (for instance, some particular attention has been paid to the role of the Majorana phases in the 0ν2β decay in [11][12][13][14][15][16][17][18][19][20][21][22][23][24]). In this work we focus on the sensitivity of | m ee | to the unknown parameters in the neutrino sector, which include the absolute neutrino mass scale, the Majorana CP-violating phases, and even possible NP contributions.…”

Section: Introductionmentioning

confidence: 99%

How to interpret a discovery or null result of the $$0\nu 2\beta $$ 0 ν 2 β decay

2015

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The Majorana nature of massive neutrinos will be crucially probed in the next-generation experiments of the neutrinoless double-beta (0ν2β) decay. The effective mass term of this process, m ee , may be contaminated by new physics. So how to interpret a discovery or null result of the 0ν2β decay in the foreseeable future is highly nontrivial. In this paper we introduce a novel three-dimensional description of | m ee |, which allows us to see its sensitivity to the lightest neutrino mass and two Majorana phases in a transparent way. We take a look at to what extent the free parameters of | m ee | can be well constrained provided a signal of the 0ν2β decay is observed someday. To fully explore lepton number violation, all the six effective Majorana mass terms m αβ (for α, β = e, μ, τ ) are calculated and their lower bounds are illustrated with the two-dimensional contour figures. The effect of possible new physics on the 0ν2β decay is also discussed in a model-independent way. We find that the result of | m ee | in the normal (or inverted) neutrino mass ordering case modified by the new physics effect may somewhat mimic that in the inverted (or normal) mass ordering case in the standard three-flavor scheme. Hence a proper interpretation of a discovery or null result of the 0ν2β decay may demand extra information from some other measurements.

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Possibility of measuring theCPMajorana phases in0νββdecay

Cited by 27 publications

References 63 publications

Short-range neutrinoless double beta decay mechanisms

Short-range neutrinoless double beta decay mechanisms

Predictions for neutrinoless double-beta decay in the 3+1 sterile neutrino scenario

How to interpret a discovery or null result of the $$0\nu 2\beta $$ 0 ν 2 β decay

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