<i>Ab Initio</i>
 Neutrinoless Double-Beta Decay Matrix Elements for 
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, 
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Belley, Adam; Payne, C.; Stroberg, S. R.; Miyagi, T.; Holt, J. D.

doi:10.1103/physrevlett.126.042502

Cited by 79 publications

(57 citation statements)

References 56 publications

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“…It has been realized in recent years that chiral effective field theory (EFT) [20][21][22][23][24][25]] can play a central role in addressing these uncertainties. Nuclear structure, ab-initio calculations based on chiral-EFT interactions [26][27][28] have recently become available for some phenomenologically relevant nuclei [29][30][31]. In addition, the issue of g A quenching in single β decays has been demonstrated to arise from the combination of two-nucleon weak currents and strong correlations in the nucleus [32][33][34], and the few-nucleon amplitudes used as input in nuclear structure calculations have been scrutinized in chiral EFT for various sources of LNV [35][36][37][38][39][40][41][42][43][44].…”

Section: Jhep05(2021)289 Jhep05(2021)289 1 Introductionmentioning

confidence: 99%

Determining the leading-order contact term in neutrinoless double β decay

Cirigliano

Dekens

Vries

et al. 2021

J. High Energ. Phys.

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We present a method to determine the leading-order (LO) contact term contributing to the nn → ppe−e− amplitude through the exchange of light Majorana neutrinos. Our approach is based on the representation of the amplitude as the momentum integral of a known kernel (proportional to the neutrino propagator) times the generalized forward Compton scattering amplitude n(p1)n(p2)W+(k) →$$ p\left({p}_1^{\prime}\right)p\left({p}_2^{\prime}\right){W}^{-}(k) $$ p p 1 ′ p p 2 ′ W − k , in analogy to the Cottingham formula for the electromagnetic contribution to hadron masses. We construct model-independent representations of the integrand in the low- and high-momentum regions, through chiral EFT and the operator product expansion, respectively. We then construct a model for the full amplitude by interpolating between these two regions, using appropriate nucleon factors for the weak currents and information on nucleon-nucleon (NN) scattering in the 1S0 channel away from threshold. By matching the amplitude obtained in this way to the LO chiral EFT amplitude we obtain the relevant LO contact term and discuss various sources of uncertainty. We validate the approach by computing the analog I = 2 NN contact term and by reproducing, within uncertainties, the charge-independence-breaking contribution to the 1S0NN scattering lengths. While our analysis is performed in the $$ \overline{\mathrm{MS}} $$ MS ¯ scheme, we express our final result in terms of the scheme-independent renormalized amplitude $$ {\mathcal{A}}_{\nu}\left(\left|\mathbf{p}\right|,\left|\mathbf{p}^{\prime}\right|\right) $$ A ν p p ′ at a set of kinematic points near threshold. We illustrate for two cutoff schemes how, using our synthetic data for $$ {\mathcal{A}}_{\nu } $$ A ν , one can determine the contact-term contribution in any regularization scheme, in particular the ones employed in nuclear-structure calculations for isotopes of experimental interest.

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Section: Jhep05(2021)289 Jhep05(2021)289 1 Introductionmentioning

confidence: 99%

Determining the leading-order contact term in neutrinoless double β decay

Cirigliano

Dekens

Vries

et al. 2021

J. High Energ. Phys.

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“…We are currently extending these studies to all nuclei relevant for upcoming experiments, with the ultimate goal to compare the obtained partial capture rates with experimental data to shed light on effective values of the couplings g A and g P at momentum-exchange q ∼ 100 MeV. This momentum regime is highly relevant for 0νββ decay and thus OMC calculations may help constrain uncertainties related to emerging ab initio predictions of 0νββ decay [64][65][66].…”

Section: Discussionmentioning

confidence: 99%

Ab initio calculation of muon capture on $^{24}$Mg

Jokiniemi¹,

Miyagi²,

Stroberg³

et al. 2021

Preprint

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In this work we study ordinary muon capture on 24 Mg from a first principles perspective. Starting from a particular two-and three-nucleon interaction derived from chiral effective field theory, we use the valence-space in-medium similarity renormalization group framework to construct effective Hamiltonians and muon capture operators which nonperturbatively account for many-body physics outside the valence space. The obtained nuclear matrix elements are compared against those from the phenomenological shell model. The impact of including the correlations from the nuclear shell model as well as including the induced two-body part is studied in detail. Furthermore, the effect of realistic bound-muon wave function on the operators is studied. Finally, predictions for capture rates to the lowest excited states in 24 Na are given and compared with available data.

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“…For other calculations of 48 Ca using the shell model or the methods related to this model, see Refs. [31,39,40,43,[49][50][51][52][53] and the references cited therein. See also Refs.…”

Section: Methods With the Help Of Experimental Strength Functionmentioning

confidence: 99%

Estimation of nuclear matrix elements of double-$$\varvec{\beta }$$ decay from shell model and quasiparticle random-phase approximation

Terasaki

Iwata

2021

Eur. Phys. J. Plus

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The nuclear matrix element (NME) of neutrinoless double-$$\beta $$ β ($$0\nu \beta \beta $$ 0 ν β β ) decay is an essential input for determining the neutrino effective mass, if the half-life of this decay is measured. Reliable calculation of this NME has been a long-standing problem because of the diversity of the predicted values of the NME, which depends on the calculation method. In this study, we focus on the shell model and the QRPA. The shell model has a rich amount of the many-particle many-hole correlations, and the quasiparticle random-phase approximation (QRPA) can obtain the convergence of the calculation results with respect to the extension of the single-particle space. It is difficult for the shell model to obtain the convergence of the $$0\nu \beta \beta $$ 0 ν β β NME with respect to the valence single-particle space. The many-body correlations of the QRPA may be insufficient, depending on the nuclei. We propose a new method to phenomenologically modify the results of the shell model and the QRPA compensating for the insufficiencies of each method using the information of other methods in a complementary manner. Extrapolations of the components of the $$0\nu \beta \beta $$ 0 ν β β NME of the shell model are made toward a very large valence single-particle space. We introduce a modification factor to the components of the $$0\nu \beta \beta $$ 0 ν β β NME of the QRPA. Our modification method yields similar values of the $$0\nu \beta \beta $$ 0 ν β β NME for the two methods with respect to $$^{48}$$ 48 Ca. The NME of the two-neutrino double-$$\beta $$ β decay is also modified in a similar but simpler manner, and the consistency of the two methods is improved.

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Ab Initio Neutrinoless Double-Beta Decay Matrix Elements for Ca48 , Ge

Cited by 79 publications

References 56 publications

Determining the leading-order contact term in neutrinoless double β decay

Determining the leading-order contact term in neutrinoless double β decay

Ab initio calculation of muon capture on $^{24}$Mg

Estimation of nuclear matrix elements of double-$$\varvec{\beta }$$ decay from shell model and quasiparticle random-phase approximation

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