Neutrinoless double-
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 decay matrix elements in light nuclei

Pastore, Saori; Carlson, J.; Cirigliano, Vincenzo; Dekens, Wouter; Mereghetti, Emanuele; Wiringa, R. B.

doi:10.1103/physrevc.97.014606

Cited by 86 publications

(86 citation statements)

References 76 publications

(153 reference statements)

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“…Argonne v 18 two-nucleon [39] and Urbana-IX three-nucleon [40] interactions and associated currents [24]-provide a quantitatively successful description of many nuclear electroweak observables [13], such as nuclear electromagnetic form factors [41,42] and low-energy transitions including beta decays [43][44][45][46]. They have also been used in studies of double beta decay matrix elements [47,48]. The main disadvantages of this approach are that it is computationally intensive, since it propagates the full A-nucleon system, and that it provides direct information only on the inclusive response, summed over all final states.…”

Section: Qmc Calculations Of the Response And Scalingmentioning

confidence: 99%

Quasielastic lepton scattering and back-to-back nucleons in the short-time approximation

et al. 2020

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Understanding quasielastic electron-and neutrino-scattering from nuclei has taken on new urgency with current and planned neutrino oscillation experiments, and with electron scattering experiments measuring specific final states, such as those involving nucleon pairs in "back-to-back" configurations. Accurate many-body methods are available for calculating the response of light (A ≤ 12) nuclei to electromagnetic and weak probes, but they are computationally intensive and only applicable to the inclusive response. In the present work we introduce a novel approach, based on realistic models of nuclear interactions and currents, to evaluate the short-time (high-energy) inclusive and exclusive response of nuclei. The approach accounts reliably for crucial two-nucleon dynamics, including correlations and currents, and provides information on back-to-back nucleons observed in electron and neutrino scattering experiments. We demonstrate that in the quasielastic regime and at moderate momentum transfers both initial-and final-state correlations, and twonucleon currents are important for a quantitatively successful description of the inclusive response and final state nucleons. Finally, the approach can be extended to include relativistic-kinematical and dynamical-effects, at least approximately in the two-nucleon sector, and to describe the response in the resonance-excitation region.

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Section: Qmc Calculations Of the Response And Scalingmentioning

confidence: 99%

Quasielastic lepton scattering and back-to-back nucleons in the short-time approximation

et al. 2020

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“…Note that the standard convention is to define the neutron skin with respect to the nucleon point-distributions, thus the size of the nucleons are not taken into account in theoretical calculations (the size of the nucleons are also factored out from experimental form factors [24]). Accurate knowledge of the distribution of neutrons in nuclei is important for calculations of the nuclear matrix elements relevant to β-decay processes [25,26]. Furthermore, the nuclear symmetry energy, which characterizes the variation of the binding energy as a function of neutron-proton asymmetry, opposes the creation of nuclear matter with excesses of either type of nucleon.…”

Section: Introductionmentioning

confidence: 99%

Dispersive optical model analysis of Pb208 generating a neutron-skin prediction beyond the mean field

et al. 2020

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A nonlocal dispersive-optical-model analysis has been carried out for neutrons and protons in 208 Pb. Elastic-scattering angular distributions, total and reaction cross sections, single-particle energies, the neutron and proton numbers, the charge distribution, and the binding energy have been fitted to extract the neutron and proton self-energies both above and below the Fermi energy. From the single-particle propagator derived from these self-energies, we have determined the charge and matter distributions in 208 Pb. The predicted spectroscopic factors are consistent with results from the (e, e p) reaction and inelastic-electron-scattering data to very high spin states. Sensible results for the high-momentum content of neutrons and protons are obtained with protons appearing more correlated, in agreement with experiment and ab initio calculations of asymmetric matter. A neutron skin of 0.250 ± 0.05 fm is deduced. An analysis of several nuclei leads to the conclusion that finite-size effects play a non-negligible role in the formation of the neutron skin in finite nuclei.

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“…The long-distance deuteron pole contribution, however, which is dictated by the singlecurrent matrix element pp|J + 3 |d , can be determined most precisely from the linear contributions to the background field correlation functions defined in Eq. (42).…”

Section: Lattice Qcd Calculationsmentioning

confidence: 99%

“…The solution of the nuclear many-body problem for nuclei of experimental interest, through ab initio nuclear structure methods, relying on QCD-rooted chiral potentials and weak transition operators (including those with ∆L = 2). These calculations are in their infancy for nuclei of experimental interest such as 76 Ge, and can be benchmarked in lighter nuclei where ab initio many-body methods are available [42,43].With this framework in mind, this review focuses on recent progress and future prospects in the use of LQCD to compute the LECs relevant for neutrinoful and neutrinoless double beta decay (step 3 above), which is intertwined with the EFT description of the these processes (step 2 above) and serves as input for many-body calculations (step 4). Whenever appropriate, we discuss the correspondence between the EFT and traditional approaches to nuclear matrix elements [38,30,[39][40][41].…”

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Lattice QCD Inputs for nuclear double beta decay

Cirigliano

Detmold

Nicholson

et al. 2020

Progress in Particle and Nuclear Physics

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Second order β-decay processes with and without neutrinos in the final state are key probes of nuclear physics and of the nature of neutrinos. Neutrinoful double-β decay is the rarest Standard Model process that has been observed and provides a unique test of the understanding of weak nuclear interactions. Observation of neutrinoless double-β decay would reveal that neutrinos are Majorana fermions and that lepton number conservation is violated in nature. While significant progress has been made in phenomenological approaches to understanding these processes, establishing a connection between these processes and the physics of the Standard Model and beyond is a critical task as it will provide input into the design and interpretation of future experiments. The strong-interaction contributions to double-β decay processes are non-perturbative and can only be addressed systematically through a combination of lattice Quantum Chromoodynamics (LQCD) and nuclear many-body calculations. In this review, current efforts to establish the LQCD connection are discussed for both neutrinoful and neutrinoless double-β decay. LQCD calculations of the hadronic contributions to the neutrinoful process nn → ppe − e −ν eνe and to various neutrinoless pionic transitions are reviewed, and the connections of these calculations to the phenomenology of double-β decay through the use of effective field theory (EFTs) is highlighted. At present, LQCD calculations are limited to small nuclear systems, and to pionic subsystems, and require matching to appropriate EFTs to have direct phenomenological impact. However, these calculations have already revealed qualitatively that there are terms in the EFTs that can only be constrained from double-β decay processes themselves or using inputs from LQCD. Future prospects for direct calculations in larger nuclei are also discussed. many-body methods and effective field theory (EFT) analysis of the transition operators, where lattice QCD can provide key input. To improve upon this situation, recent efforts have advocated an "endto-end" EFT analysis of 0νββ to link the scale Λ of LNV to nuclear scales. This multi-prong approach includes various steps:1. The use of the Standard Model EFT to link the scale Λ of LNV to the hadronic scale Λ χ ∼ O(1) GeV, where non-perturbative QCD effects arise. This step is by now mature: the operator basis (to which any underlying model can be matched) is known up to dimension-nine and the renormalization group evolution of these operators under strong interactions is known. Light new degrees of freedom (such as sterile neutrinos) can also be included in this framework.2. The matching of the quark-gluon level EFT to hadronic EFTs such as Chiral Perturbation Theory (χPT) in the meson and single nucleon sector, and chiral EFT and pionless EFT in the multinucleon sector. This step can be performed consistently in the strong and weak sectors of the theory, which in the case of interest here involves ∆L = 2 transition operators. The form of the transition operators is known to...

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Neutrinoless double- β decay matrix elements in light nuclei

Cited by 86 publications

References 76 publications

Quasielastic lepton scattering and back-to-back nucleons in the short-time approximation

Quasielastic lepton scattering and back-to-back nucleons in the short-time approximation

Dispersive optical model analysis of Pb208 generating a neutron-skin prediction beyond the mean field

Lattice QCD Inputs for nuclear double beta decay

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