A neutrinoless double beta decay master formula from effective field theory

Cirigliano, Vincenzo; Dekens, Wouter; Vries, Jordy de; Graesser, Michael L.; Mereghetti, Emanuele

doi:10.1007/jhep12(2018)097

Cited by 121 publications

(202 citation statements)

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“…Below the electroweak scale, these high-scale operators induce an SU (3) c × U (1) em -invariant ∆L = 2 Lagrangian that includes operators of dimension three, six, seven, and nine [64][65][66]. The mismatch in dimensions is due to the fact that the Higgs field acquires a vacuum expectation value (vev) and the Higgs and W boson are integrated out of the EFT.…”

Section: Introductionmentioning

confidence: 99%

“…The mismatch in dimensions is due to the fact that the Higgs field acquires a vacuum expectation value (vev) and the Higgs and W boson are integrated out of the EFT. At the scale Λ χ ∼ 1 GeV, characteristic of nonperturbative QCD effects, the effective Lagrangian is given by [66] L eff = L QCD + L W − m ββ 2 ν T eL Cν eL + L…”

Section: Introductionmentioning

confidence: 99%

“…Details of L (6,7,9) ∆L=2 can be found in Ref. [66]. In order to calculate 0νββ transitions, below the scale Λ χ ∼ 1 GeV, the Lagrangian in Eq.…”

Section: Introductionmentioning

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%

“…Full details of each of the matching steps outlined above can be found in Ref. [66]. The potentials V (a,b) 6,7 require the hadronic and nuclear realization of isovector quark bilinears of the formūΓd (Γ ∈ {1, γ 5 , γ µ , γ µ γ 5 , σ µν }), which also appear in the analysis of single beta decay of nuclei in the SM and beyond.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

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: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Details of L (6,7,9) ∆L=2 can be found in Ref. [66]. In order to calculate 0νββ transitions, below the scale Λ χ ∼ 1 GeV, the Lagrangian in Eq.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Lattice QCD Inputs for nuclear double beta decay

Cirigliano

Detmold

Nicholson

et al. 2020

Progress in Particle and Nuclear Physics

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The 0ν2β-decay CROSS experiment: preliminary results and prospects

Bandac¹,

Barabash²,

Bergé³

et al. 2020

J. High Energ. Phys.

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Neutrinoless double-beta decay is a key process in particle physics. Its experimental investigation is the only viable method that can establish the Majorana nature of neutrinos, providing at the same time a sensitive inclusive test of lepton number violation. CROSS (Cryogenic Rare-event Observatory with Surface Sensitivity) aims at developing and testing a new bolometric technology to be applied to future large-scale experiments searching for neutrinoless double-beta decay of the promising nuclei 100 Mo and 130 Te. The limiting factor in large-scale bolometric searches for this rare process is the background induced by surface radioactive contamination, as shown by the results of the CUORE experiment. The basic concept of CROSS consists of rejecting this challenging background component by pulse-shape discrimination, assisted by a proper coating of the faces of the crystal containing the isotope of interest and serving as energy absorber of the bolometric detector. In this paper, we demonstrate that ultra-pure superconductive Al films deposited on the crystal surfaces act successfully as pulse-shape modifiers, both with fast and slow phonon sensors. Rejection factors higher than 99.9% of α surface radioactivity have been demonstrated in a series of prototypes based on crystals of Li 2 MoO 4 and TeO 2 . We have also shown that point-like energy depositions can be identified up to a distance of ∼ 1 mm from the coated surface. The present program envisions an intermediate experiment to be installed underground in the Canfranc laboratory (Spain) in a CROSS-dedicated facility. This experiment, comprising ∼ 3×10 25 nuclei of 100 Mo, will be a general test of the CROSS technology as well as a worldwide competitive search for neutrinoless double-beta decay, with sensitivity to the effective Majorana mass down to 70 meV in the most favorable conditions.

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Revisiting renormalization group equations of the SMEFT dimension-seven operators

Zhang

2024

J. High Energ. Phys.

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In this work, we revisit the renormalization group equations (RGEs) of dimension-seven (dim-7) operators in the Standard Model effective field theory (SMEFT) resulting from mixing among dim-7 operators themselves by means of the background field method. Adopting a recently proposed physical basis for dim-7 operators, we achieve the explicit RGEs of all non-redundant dim-7 operators in the SMEFT for the first time. Together with those originating from the dim-5 and dim-6 operators, these results constitute the complete RGEs of dim-7 operators, and hence can be exploited to study full RG-running effects on some lepton- or baryon-number-violating processes involving dim-7 operators in the SMEFT, such as neutrino masses, neutrinoless double beta decay, meson and nucleon decays. We perform an analysis of the structure and perturbative power counting of the obtained one-loop anomalous dimension matrix, which is consistent with a non-renormalization theorem and the naive dimension analysis. Additionally, a partial check on some results is carried out by means of different tools and quantum field gauges.

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A neutrinoless double beta decay master formula from effective field theory

Cited by 121 publications

References 100 publications

Lattice QCD Inputs for nuclear double beta decay

Lattice QCD Inputs for nuclear double beta decay

The 0ν2β-decay CROSS experiment: preliminary results and prospects

Revisiting renormalization group equations of the SMEFT dimension-seven operators

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