Lattice QCD Inputs for nuclear double beta decay

Cirigliano, Vincenzo; Detmold, William; Nicholson, Amy; Shanahan, Phiala

doi:10.1016/j.ppnp.2020.103771

Title: Lattice QCD Inputs for nuclear double beta decay

Journal Article · Sat Feb 29 00:00:00 EST 2020 · Progress in Particle and Nuclear Physics

DOI:https://doi.org/10.1016/j.ppnp.2020.103771· OSTI ID:1604055

^[1]; Detmold, William ^[2]; Nicholson, Amy ^[3]; Shanahan, Phiala ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Univ. of North Carolina, Chapel Hill, NC (United States)

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 $$nn → ppe^-e^-\bar{v}_e\bar{v}_e$$ 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. Finally, future prospects for direct calculations in larger nuclei are also discussed.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC). Nuclear Physics (NP) (SC-26); USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)

Grant/Contract Number:: 89233218CNA000001; SC0011090; SC0018121; 1841699; AC52-06NA25396

OSTI ID:: 1604055

Report Number(s):: LA-UR-20-20387; TRN: US2104191

Journal Information:: Progress in Particle and Nuclear Physics, Vol. 112; ISSN 0146-6410

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 13 works

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