Long-distance contributions to neutrinoless double beta decay 
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Tuo, Xin-Yu; Feng, Xu; Jin, Luchang

doi:10.1103/physrevd.100.094511

Cited by 39 publications

(68 citation statements)

References 37 publications

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“…The transition π − → π + e − e − Two groups [196,197] have pursued calculations of the 0νββ matrix element that induces a transition between an initial π − state and a final π + e − e − state. While this transition is not physical due to the electron masses and degeneracy of the π ± , it can be studied at unphysical kinematics.…”

Section: 21mentioning

confidence: 99%

“…is the leading order prediction (corresponding to the vacuum saturation approximation [197]). Here, the LEC g ππ ν (µ) from Eq.…”

Section: 21mentioning

confidence: 99%

“…In Ref. [197], Tuo et al have presented a further, more complete study of this π − → π + e − e − process also using domain wall fermion ensembles. This calculation differs in technical details from that of Ref.…”

Section: 21mentioning

confidence: 99%

“…Four different DWF ensembles at quark masses very close to their physical values were used with volumes ranging from m π L = 3.3-4.5. Different lattice spacings and Figure 14: Continuum limit of the infinite volume reconstructed amplitude for π − → π + e − e − [197]. The notation 24D, 32D, 32D-fine, and 48I refers to the different ensembles used in Ref.…”

Section: 21mentioning

confidence: 99%

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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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Section: 21mentioning

confidence: 99%

“…is the leading order prediction (corresponding to the vacuum saturation approximation [197]). Here, the LEC g ππ ν (µ) from Eq.…”

Section: 21mentioning

confidence: 99%

Section: 21mentioning

confidence: 99%

Section: 21mentioning

confidence: 99%

See 2 more Smart Citations

Lattice QCD Inputs for nuclear double beta decay

Cirigliano

Detmold

Nicholson

et al. 2020

Progress in Particle and Nuclear Physics

View full text Add to dashboard Cite

show abstract

“…With lattice QCD simulations having reached an impressive level of precision for tree-level parameters of the electroweak interaction, it becomes timely and important to study higher-order electroweak corrections. The examples of such lattice applications include the QED corrections to hadron masses [8][9][10][11][12][13][14][15] and leptonic decay rates [16][17][18][19] and a series of higher-order electroweak effects, such as K L -K S mass difference [20][21][22], K [23], rare kaon decays [24][25][26][27][28][29] and double beta decays [30][31][32][33][34][35]. As for the γW -box contribution, which is a QED correction to semileptonic decays, it still remains a new horizon for lattice QCD.…”

mentioning

confidence: 99%

Toward a First-Principles Calculation of Electroweak Box Diagrams

Seng

Meißner

2019

Phys. Rev. Lett.

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We present the first realistic lattice QCD calculation of the γW -box diagrams relevant for beta decays. The nonperturbative low-momentum integral of the γW loop is calculated using a lattice QCD simulation, complemented by the perturbative QCD result at high momenta. Using the pion semileptonic decay as an example, we demonstrate the feasibility of the method. By using domain wall fermions at the physical pion mass with multiple lattice spacings and volumes, we obtain the axial γW -box correction to the semileptonic pion decay, ◻ V A γW π = 2.830(11)stat(26)sys × 10 −3 , with the total uncertainty controlled at the level of ∼ 1%. This study sheds light on the first-principles computation of the γW -box correction to the neutron decay, which plays a decisive role in the determination of V ud .

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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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Long-distance contributions to neutrinoless double beta decay π−→π+ee

Cited by 39 publications

References 37 publications

Lattice QCD Inputs for nuclear double beta decay

Lattice QCD Inputs for nuclear double beta decay

Toward a First-Principles Calculation of Electroweak Box Diagrams

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

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