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

Weiss, R.; Soriano, Pablo; Lovato, Alessandro; Menendez, Jaview; Wiringa, R. B.

doi:10.48550/arxiv.2112.08146

Cited by 6 publications

(12 citation statements)

References 93 publications

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“…8, 10, and 9 indicate a higher sensitivity to SRCs in M 0ν heavy and M 0ν short than in M 0ν long , where the impact is relatively small as also indicated by Engel and Hagen (2009). Nonetheless, very recently, a combination of SRCs captured by an ab initio method with the shell model suggests a larger ∼ 30% reduction in M 0ν long (Weiss et al, 2021) -see also Benhar et al (2014) for a larger impact of SRCs.…”

Section: Current Status and Uncertaintiesmentioning

confidence: 86%

“…IV.D.1. More interestingly, Pastore et al (2018b) and Weiss et al (2021) have studied 0νββdecay NMEs in A ≤ 12 nuclei. While these isotopes are not of experimental interest, QMC NMEs provide benchmarks for other approaches that can also cover heavier nuclei.…”

Section: Ab Initio Methodsmentioning

confidence: 99%

“…8 and 9 (Cirigliano et al, 2019). QMC nuclear states include reliable SRCs, which can be combined with the shell model via the generalized contact formalism (Weiss et al, 2021). This results in NMEs for heavy ββ emitters reduced by about 30% with respect to the shell model ones in Fig.…”

Section: Ab Initio Methodsmentioning

confidence: 99%

See 2 more Smart Citations

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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Section: Current Status and Uncertaintiesmentioning

confidence: 86%

Section: Ab Initio Methodsmentioning

confidence: 99%

See 1 more Smart Citation

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

Agostini¹,

Benato²,

Detwiler³

et al. 2022

Preprint

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show abstract

“…Density functionals are becoming more accurate [237,238], and are beginning to incorporate ingredients such as two-body currents from chiral EFT [239], which will lead to better QRPA calculations. The shell model is able to include ever-larger valence spaces [240] and short-range correlations extracted from Quantum Monte Carlo calculations in light nuclei [241]. New degrees of freedom can be added to the IBM.…”

Section: B Next Stepsmentioning

confidence: 99%

Neutrinoless Double-Beta Decay: A Roadmap for Matching Theory to Experiment

Cirigliano¹,

Davoudi²,

Dekens³

et al. 2022

Preprint

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The observation of neutrino oscillations and hence non-zero neutrino masses provided a milestone in the search for physics beyond the Standard Model. But even though we now know that neutrinos are massive, the nature of neutrino masses, i.e., whether they are Dirac or Majorana, remains an open question. A smoking-gun signature of Majorana neutrinos is the observation of neutrinoless double-beta decay, a process that violates the lepton-number conservation of the Standard Model. This white paper focuses on the theoretical aspects of the neutrinoless double-beta decay program and lays out a roadmap for future developments. The roadmap is a multi-scale path starting from high-energy models of neutrinoless double-beta decay all the way to the low-energy nuclear many-body problem that needs to be solved to supplement measurements of the decay rate. The path goes through a systematic effective-field-theory description of the underlying processes at various scales and needs to be supplemented by lattice quantum chromodynamics input. The white paper also discusses the interplay between neutrinoless double-beta decay, experiments at the Large Hadron Collider and results from astrophysics and cosmology in probing simplified models of lepton-number violation at the TeV scale, and the generation of the matter-antimatter asymmetry via leptogenesis. This white paper is prepared for the topical groups TF11 (Theory of Neutrino Physics), TF05 (Lattice Gauge Theory), RF04 (Baryon and Lepton Number Violating Processes), NF03 (Beyond the Standard Model) and NF05 (Neutrino Properties) within the Theory Frontier, Rare Processes and Precision Frontier, and Neutrino Physics Frontier of the U.S. Community Study on the Future of Particle Physics (Snowmass 2021).

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“…Exhaustive tests of nuclear interactions require many-body methods that are suitable to retain the complexity of nuclear dynamics at short distances [9,10]. An accurate description of the latter is also critical to reproduce exclusive lepton-nucleus scattering cross sections [11][12][13], for the calculation neutrinoless double-beta decay matrix elements [14], and for studying neutron-star matter in the high-density regime [8,9,15].…”

Section: Introductionmentioning

confidence: 99%

Hidden-nucleons neural-network quantum states for the nuclear many-body problem

Lovato,

Adams,

Carleo

et al. 2022

Preprint

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We generalize the hidden-fermion family of neural network quantum states to encompass both continuous and discrete degrees of freedom and solve the nuclear many-body Schrödinger equation in a systematically improvable fashion. We demonstrate that adding hidden nucleons to the original Hilbert space considerably augments the expressivity of the neural-network architecture compared to the Slater-Jastrow ansatz. The benefits of explicitly encoding in the wave function point symmetries such as parity and time-reversal are also discussed. Leveraging on improved optimization methods and sampling techniques, the hidden-nucleon ansatz achieves an accuracy comparable to the numerically-exact hyperspherical harmonic method in light nuclei and to the auxiliary field diffusion Monte Carlo in 16 O. Thanks to its polynomial scaling with the number of nucleons, this method opens the way to highly-accurate quantum Monte Carlo studies of medium-mass nuclei.

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

Cited by 6 publications

References 93 publications

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

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

Neutrinoless Double-Beta Decay: A Roadmap for Matching Theory to Experiment

Hidden-nucleons neural-network quantum states for the nuclear many-body problem

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