Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism

Yao, J. M.; Meng, J.; Niu, Y. F.; Ring, P.

doi:10.48550/arxiv.2111.15543

Cited by 4 publications

(4 citation statements)

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“…This part is expected to be well described by the SM, given the very good description it gives of nuclear structure and spectroscopy [65,66]. In particular, long-range correlations have been studied extensively in 0νββ studies [85][86][87], and the SM has proven to capture well important correlations such as those related to high-seniority components [88] or proton-neutron pairing [89]. Therefore, we expect that the GCF-SM describes also well the longrange part of the transition densities.…”

Section: A Light Nucleimentioning

confidence: 88%

Neutrinoless double-beta decay: combining quantum Monte Carlo and the nuclear shell model with the generalized contact formalism

Weiss¹,

Soriano²,

Lovato³

et al. 2021

Preprint

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We devise a framework based on the generalized contact formalism that combines the nuclear shell model and quantum Monte Carlo methods and compute the neutrinoless double-beta decay of experimentally relevant nuclei, including 76 Ge, 130 Te, and 136 Xe. In light nuclei, we validate our nuclear matrix element calculations by comparing against accurate variational Monte Carlo results. Due to additional correlations captured by quantum Monte Carlo and introduced within the generalized contact formalism, in heavier systems, we obtain long-range nuclear matrix elements that are about 30% smaller than previous shell-model results. We also evaluate the recently recognized short-range nuclear matrix element estimating its coupling by the charge-independence-breaking term of the Argonne v18 potential used in the Monte Carlo calculations. Our results indicate an enhancement of the total nuclear matrix element by around 30%.

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Section: A Light Nucleimentioning

confidence: 88%

Neutrinoless double-beta decay: combining quantum Monte Carlo and the nuclear shell model with the generalized contact formalism

Weiss¹,

Soriano²,

Lovato³

et al. 2021

Preprint

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“…This prevents tests of β and 2νββ-decay EDF matrix elements. Two EDF versions have been applied to 0νββ decays: using nonrelativistic (López Vaquero et al, 2013;Rodriguez and Martinez-Pinedo, 2010) and relativistic (Song et al, 2017;Yao et al, 2015) functionals, both including the GCM (Yao et al, 2021b). The two sets of NMEs are quite similar except in 150 Nd, see Fig.…”

Section: Energy-density Functional Theorymentioning

confidence: 99%

Toward the discovery of matter creation with neutrinoless double-beta decay

Agostini¹,

Benato²,

Detwiler³

et al. 2022

Preprint

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The discovery of neutrinoless double-beta decay could soon be within reach. This hypothetical ultra-rare nuclear decay is a portal to new physics beyond the Standard Model. Its observation would constitute the discovery of a matter-creating process, corroborating leading theories of why the universe contains more matter than antimatter, and how the forces unify at high energy scales. It would also prove that neutrinos and antineutrinos are not two distinct particles, but can transform into each other, generating their own mass in the process. The recognition that neutrinos are not massless necessitates an explanation and has boosted interest in neutrinoless double-beta decay. The field is now at a turning point. A new round of experiments is currently being prepared for the next decade to cover an important region of parameter space. Advancements in nuclear theory are laying the groundwork to connect the nuclear decay with the underlying new physics. Meanwhile, the particle theory landscape continues to find new motivations for neutrinos to be their own antiparticle. This review brings together the experimental, nuclear theory, and particle theory aspects connected to neutrinoless double-beta decay, to explore the path toward -and beyond -its discovery.

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“…For more details on the NMEs please see the recent reviews in Ref. [73,74]. The corresponding effective neutrino mass is:…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Neutrinoless double beta decay in the minimal type-I seesaw model: How the enhancement or cancellation happens?

Fang,

Li,

Zhang

2021

Preprint

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We discuss the contribution of right-handed neutrinos (RHNs) to the effective neutrino mass of the neutrinoless double beta decay within the minimal type-I seesaw model using the intrinsic seesaw relation of neutrino mass and mixing parameters and the relative mass dependence of the nuclear matrix elements. In the viable parameter space, we find the possibilities of both the enhancement and cancellation to the effective neutrino mass from RHNs. The bounds on the parameter space of the RHNs can be determined with the effective neutrino mass extracted from neutrinoless double beta decay experiments. I. INTRODUCTIONThe observation of neutrino oscillations from the atmospheric [1], solar [2][3][4], reactor [5-8] and accelerator [9][10][11] neutrinos is one of the most important discoveries in particle physics, which indicates that neutrinos are massive, and is currently the only evidence for physics beyond the Standard Model (SM). But neutrino oscillation experiments do not allow us to determine the absolute neutrino mass scale, as well as the origin of neutrino masses. To determine the absolute neutrino mass scale, three complementary methods can be used. The first one is the cosmological observation, which probe the direct sum of three neutrino masses [12][13][14][15]. The second one is the β-decay experiments, such as the KATRIN experiment, which gives the limit on the effective neutrino mass from the spectral fine structure near the β-decay endpoint [16][17][18]. The third is the neutrinoless double beta decay (i.e., 0νββ) experiments [19-25] that we will discuss in this work, for recent reviews see Ref. [26][27][28].Neutrino masses are several orders of magnitude smaller than the masses of charged leptons and quarks, and may not be (or not only) of the SM Higgs origin. Therefore, alternative new mechanisms of the neutrino mass generation have been proposed, of which the most plausible one is the type-I seesaw mechanism [29][30][31][32]. According to this mechanism, the small neutrino masses are generated by a new interaction with new Higgs particles beyond SM, which violates the total lepton number at a mass scale much heavier than the electroweak interaction. Within such mechanism, the neutrinos are Majorana particles, and consequently, this leads to the above mentioned lepton number violating (LNV) 0νββ-decay process. The nature of neutrinos, that is whether the neutrino mass is of the Majorana or Dirac type, is important for our understanding of the origin for small neutrino masses. With the neutrino Majorana nature, more phases (namely the Majorana phases) will be included in the neutrino mixing matrix [33]. Neither results from neutrino oscillation experiments, cosmology probes, nor that from β-decay experiments depends on the Majorana phases. However, from the effective neutrino mass (m eff ) of the 0νββ decay, such information could be extracted [34][35][36][37][38].So far, the 0νββ-decay hasn't been detected yet and the lower bounds of the decay half-lives for various isotopes are obtained from different...

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Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism

Cited by 4 publications

References 379 publications

Neutrinoless double-beta decay: combining quantum Monte Carlo and the nuclear shell model with the generalized contact formalism

Neutrinoless double-beta decay: combining quantum Monte Carlo and the nuclear shell model with the generalized contact formalism

Toward the discovery of matter creation with neutrinoless double-beta decay

Neutrinoless double beta decay in the minimal type-I seesaw model: How the enhancement or cancellation happens?

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