Renormalized approach to neutrinoless double-
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 decay

Cirigliano, Vincenzo; Dekens, Wouter; Vries, Jordy de; Graesser, Michael L.; Mereghetti, Emanuele; Pastore, Saori; Piarulli, M.; Kolck, U. van; Wiringa, R. B.

doi:10.1103/physrevc.100.055504

Cited by 105 publications

(157 citation statements)

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“…Chiral and isospin symmetry arguments relate g N N ν to one of two ∆I = 2 N N contact interactions of electromagnetic origin. A fit to N N scattering data confirms the LO scaling of such couplings, but does not allow the two couplings to be disentangled and hence g NN ν to be extracted [105,90]. Therefore, the first-principles determination of g NN ν through LQCD is of the greatest importance.…”

Section: Lepton Number Violation From Light Majorana Neutrino Exchangementioning

confidence: 99%

“…(5) and (6)) arises from double insertions of the weak current depicted in Fig. 2, entailing long-and pionrange effects, as well as a short-range contact interaction [105,90]:…”

Section: Lepton Number Violation From Light Majorana Neutrino Exchangementioning

confidence: 99%

“…In the low-energy EFT, the presence of the contact interaction is required by renormalization of the nn → ppee amplitude [105,90]. The argument is as follows: the first term in the 0νββ transition operator in Eq.…”

Section: Lepton Number Violation From Light Majorana Neutrino Exchangementioning

confidence: 99%

“…1/q 2 , and two insertions of C1 S 0 . This divergence requires the introduction of the contact term g NN ν , and the associated renormalization group equation determines its scaling: [105,90]. The contact term g NN ν corresponds to a genuine new contribution due to the exchange of neutrinos with momenta |q| > Λ χ .…”

Section: Lepton Number Violation From Light Majorana Neutrino Exchangementioning

confidence: 99%

“…(2), respectively. Within the current EFT framework, the two-body transition operators admit an expansion in powers of v/Λ, Λ χ /v, and χ = Q/Λ χ or / π = ℵ/Λ / π [66,90]. In the case of Majorana neutrino exchange, three-body transition operators (suppressed by 2 χ compared to the leading two-body ones) have been considered in Refs.…”

Section: Introductionmentioning

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: Lepton Number Violation From Light Majorana Neutrino Exchangementioning

confidence: 99%

“…(5) and (6)) arises from double insertions of the weak current depicted in Fig. 2, entailing long-and pionrange effects, as well as a short-range contact interaction [105,90]:…”

Section: Lepton Number Violation From Light Majorana Neutrino Exchangementioning

confidence: 99%

Section: Lepton Number Violation From Light Majorana Neutrino Exchangementioning

confidence: 99%

Section: Lepton Number Violation From Light Majorana Neutrino Exchangementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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