Pions in nuclei and manifestations of supersymmetry in neutrinoless double beta decay

Faessler, Amand; Kovalenko, Sergey; Šimkovic, F.

doi:10.1103/physrevd.58.115004

Cited by 68 publications

(43 citation statements)

References 36 publications

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“…(2)-(6); 1 1 There exists another modality of this mechanism not requiring the stage (i), instead neutrons emit virtual pions and (ii) is realized in π − π − → 2e − . This pion-mechanism [8,9], less suppressed by the short-range correlation, requires a special study. For QCD corrections for the pion mechanism see [10].…”

Section: Low-energy Description Of 0νββ-decaymentioning

confidence: 99%

QCD corrections and long-range mechanisms of neutrinoless double beta decay

et al. 2016

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Recently it has been demonstrated that QCD corrections are numerically important for shortrange mechanisms (SRM) of neutrinoless double beta decay (0νββ) mediated by heavy particle exchange. This is due to the effect of color mismatch for certain effective operators, which leads to mixing between different operators with vastly different nuclear matrix elements (NMEs). In this note we analyze the QCD corrections for long-range mechanisms (LRM), due to diagrams with lightneutrino exchange between a Standard Model (V-A)×(V-A) and a beyond the SM lepton number violating vertex. We argue that in contrast to the SRM in the LRM case, there is no operator mixing from color-mismatched operators. This is due to a combined effect of the nuclear shortrange correlations and color invariance. As a result, the QCD corrections to the LRM amount to an effect no more than 60%, depending on the operator in question. Although less crucial, taken into account QCD running makes theoretical predictions for 0νββ-decay more robust also for LRM diagrams. We derive the current experimental constraints on the Wilson coefficients for all LRM effective operators.

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Section: Low-energy Description Of 0νββ-decaymentioning

confidence: 99%

QCD corrections and long-range mechanisms of neutrinoless double beta decay

et al. 2016

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“…(19) can be implemented in many-body nuclear calculations to obtain bounds on C (9) ππ, πN, N N , which, using knowledge of the g ππ,πN,N N i , can then be converted into bounds on the Wilson coefficients C (9) iL,iR , and hence on the underlying LNV model parameters. We conclude this discussion by noting that the pion contributions to the potential V have appeared throughout the 0νββ literature in the context of various models, see for example [116,117,[56][57][58].…”

Section: Lepton Number Violation From Short Range Mechanismsmentioning

confidence: 76%

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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“…For simplicity we concentrate below on the trilinear 0 couplings and write R p ¼ 0 . Under reasonable assumptions the gluino exchange dominates [14]. We have…”

Section: R-parity Breaking Susy Mechanismmentioning

confidence: 98%

“…with the radial functions given elsewhere [14]. Under these assumptions the obtained NMEs are given in Table I.…”

Section: R-parity Breaking Susy Mechanismmentioning

confidence: 99%

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Few active mechanisms of the0νββdecay and effective mass of Majorana neutrinos

2010

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It is well known that there exist many mechanisms that may contribute to neutrinoless double beta decay. By exploiting the fact that the associated nuclear matrix elements are target dependent we show that, given definite experimental results on a sufficient number of targets, one can determine or sufficiently constrain all lepton violating parameters including the mass term. As a specific example we show that, assuming the observation of the 0 decay in three different nuclei, e.g., G 76 e, 100 Mo, and 130 Te, and just three lepton number violating mechanisms (light-and heavy-neutrino mass mechanisms as well as the R-parity breaking supersymmetry mechanism) being active, there are only four different solutions for the lepton violating parameters, provided that they are relatively real. In particular, our analysis shows that the effective neutrino Majorana mass jm j can be almost uniquely extracted by utilizing other existing constraints (cosmological observations and tritium -decay experiments). We also point out the possibility that the nonobservation of the 0 decay for some isotopes could be in agreement with a value of jm j in the sub-eV region. We thus suggest that it is important to have at least two different 0-decay experiments for a given nucleus. We note that obtained results are sensitive to the accuracy of measured half-lives and to uncertainties in calculated nuclear matrix elements.

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Pions in nuclei and manifestations of supersymmetry in neutrinoless double beta decay

Cited by 68 publications

References 36 publications

QCD corrections and long-range mechanisms of neutrinoless double beta decay

QCD corrections and long-range mechanisms of neutrinoless double beta decay

Lattice QCD Inputs for nuclear double beta decay

Few active mechanisms of the0νββdecay and effective mass of Majorana neutrinos

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