Benchmark neutrinoless double-
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 decay matrix elements in a light nucleus

Basili, Robert; Yao, J. M.; Engel, J.; Hergert, H.; Lockner, Matthew; Maris, Pieter; Vary, James P.

doi:10.1103/physrevc.102.014302

Cited by 24 publications

(22 citation statements)

References 78 publications

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“…In Ref. [24] the NCSM calculations of 6 He M 0ν were benchmarked against the results from the multireference in-medium similarity renormalization group (MR-IMSRG) with a softened chiral interaction. Moreover, the M 0ν of 6,8,10 He, 14 C and 22 O were calculated with the NCSM and coupled-cluster theory in Ref.…”

Section: Ground State Energy (Mev)mentioning

confidence: 99%

“…For both of these systems we use the NNLO opt interaction, which was not renormalized, as compared to the SRG evolved N3LO-EM interaction used in Refs. [9,24,25]. In the case of the A = 6 system, the calculations are done up to N max =8 model space with Ω =20 MeV.…”

Section: Ground State Energy (Mev)mentioning

confidence: 99%

“…[29] for A = 6 systems and was used in NCSM calculations of Ref. [24] against which we benchmark our calculations. The results show that the GT matrix element is about four times larger than the Fermi contribution, whereas the tensor contribution is approximately two orders of magnitude smaller and of opposite sign (Figure 3).…”

Section: Ground State Energy (Mev)mentioning

confidence: 99%

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Shape Mixing and Clustering in Nuclei: Probing Physics beyond the Standard Model

Sargsyan¹

2022

Bulg.J.Phys.

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The ab initio methods in nuclear physics play a major role due to their use of realistic internucleon interactions that grant them predictive capabilities. One of these models -the symmetry-adapted nocore shell model (SA-NCSM) -is capable of reaching the medium-mass region of the chart of the nuclides, by exploiting the emergent symmetries of nuclei, and is therefore well-suited for studying collective correlations and beta decay modes. We apply the SA-NCSM to calculate beta-decay observables essential to probe physics beyond the Standard Model. Our calculations of higher-order recoil terms in the beta decay of 8 Li help to significantly reduce the uncertainties in high-precision experiments that study the vector minus axial vector (V−A) structure of the weak interaction. Furthermore, we calculate neutrinoless double beta decay matrix elements important for determining whether the neutrino is its own antiparticle.

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Section: Ground State Energy (Mev)mentioning

confidence: 99%

Section: Ground State Energy (Mev)mentioning

confidence: 99%

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Shape Mixing and Clustering in Nuclei: Probing Physics beyond the Standard Model

Sargsyan¹

2022

Bulg.J.Phys.

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“…A way to avoid the model dependence and thus the uncertainties that are caused by model assumptions and approximation made in different models is to calculate the NMEs from first principles, which is currently the goal of several theoretical groups. However, applying modern ab initio methods to 0νββ decay is challenging and the 0νββ candidate nuclei are generally more complicated and heavier than those treated so far (Hergert et al, 2016;Pastore et al, 2018;Wang et al, 2019;Basili et al, 2020). Thus, traditional nuclear model calculations for 0νββ NMEs are still very much needed for the interpretation of the experimental results as well as for the planning of the future experiments.…”

Section: Introductionmentioning

confidence: 99%

Comparison of Microscopic Interacting Boson Model and Quasiparticle Random Phase Approximation 0νββ Decay Nuclear Matrix Elements

Kotila

2021

Front. Astron. Space Sci.

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The fundamental nature of the neutrino is presently a subject of great interest. A way to access the absolute mass scale and the fundamental nature of the neutrino is to utilize the atomic nuclei through their rare decays, the neutrinoless double beta (0νββ) decay in particular. The experimentally measurable observable is the half-life of the decay, which can be factorized to consist of phase space factor, axial vector coupling constant, nuclear matrix element, and function containing physics beyond the standard model. Thus reliable description of nuclear matrix element is of crucial importance in order to extract information governed by the function containing physics beyond the standard model, neutrino mass parameter in particular. Comparison of double beta decay nuclear matrix elements obtained using microscopic interacting boson model (IBM-2) and quasiparticle random phase approximation (QRPA) has revealed close correspondence, even though the assumptions in these two models are rather different. The origin of this compatibility is not yet clear, and thorough investigation of decomposed matrix elements in terms of different contributions arising from induced currents and the finite nucleon size is expected to contribute to more accurate values for the double beta decay nuclear matrix elements. Such comparison is performed using detailed calculations on both models and obtained results are then discussed together with recent experimental results.

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“…Despite the long-range nature of the process, recent nuclear effective field theory (EFT) analyses of the elementary subprocess nn → pp (ee) have revealed a shortdistance contribution to the amplitude at leading order (LO), with a low-energy constant (LEC) of the corresponding isotensor contact operator that absorbs the ultraviolet (UV) scale dependence of the amplitude through Renormalization Group (RG) [9,10]. As such a subprocess cannot be observed in free space, and given the program that has been formed around the use of nuclear EFTs to systematically improve the ab initio nuclear structure calculations of the nuclear matrix elements [11][12][13][14][15] toward experimentally-relevant isotopes, the missing knowledge of the value of such a shortdistance contribution appears to impede progress, and has promoted indirect but less certain estimations [10].…”

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confidence: 99%

The path from lattice QCD to the short-distance contribution to $0νββ$ decay with a light Majorana neutrino

Davoudi,

Kadam

2020

Preprint

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Neutrinoless double-β (0νββ) decay of certain atomic isotopes, if observed, will have significant implications for physics of neutrinos and models of physics beyond the Standard Model. In the simplest scenario, if the mass of the light neutrino of the Standard Model has a Majorana component, it can mediate the decay. Systematic theoretical studies of the decay rate in this scenario, through effective field theories matched to ab initio nuclear many-body calculations, are needed to draw conclusions about the hierarchy of neutrino masses, and to plan the design of future experiments. However, a recently identified short-distance contribution at leading order in the effective field theory amplitude of the subprocess nn → pp (ee) remains unknown, and only lattice quantum chromodynamics (QCD) can directly and reliably determine the associated low-energy constant. While the numerical computations of the correlation function for this process are underway with lattice QCD, the connection to the physical amplitude, and hence this short-distance contribution, is missing. A complete framework that enables this complex matching is developed in this paper. The complications arising from Euclidean and finite-volume nature of the corresponding correlation function are fully resolved, and the value of the formalism is demonstrated through a simple example. The result of this work, therefore, fills the gap between first-principle studies of the nn → pp (ee) amplitude from lattice QCD and those from effective field theory, and can be readily employed in the ongoing lattice-QCD studies of this process.

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Benchmark neutrinoless double- β decay matrix elements in a light nucleus

Cited by 24 publications

References 78 publications

Shape Mixing and Clustering in Nuclei: Probing Physics beyond the Standard Model

Shape Mixing and Clustering in Nuclei: Probing Physics beyond the Standard Model

Comparison of Microscopic Interacting Boson Model and Quasiparticle Random Phase Approximation 0νββ Decay Nuclear Matrix Elements

The path from lattice QCD to the short-distance contribution to $0νββ$ decay with a light Majorana neutrino

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