Higher-order corrections to beta decays and nuclear structure
Abstract
Precision measurements of nuclear β decay offer a powerful route to tests of physics beyond the Standard Model, but interpreting measurements spectra and correlation observables requires control of subtle nuclear-structure effects. This chapter develops a framework for calculating higher-order corrections--small contributions that can become important at the precision sought in searches for new interactions. After motivating their role in β-decay observables (with radiative corrections treated in the accompanying chapter), we introduce the relevant kinematics and multipole expansion of the shape factor, identify the subleading contributions, and present the impulse-approximation multipole operators. We then describe the nuclear many-body methods used to obtain the required states and transition densities, and derive the corresponding operator matrix elements in the harmonic-oscillator basis. Taken together, these ingredients enable systematic calculations of nuclear shape factors beyond the long-wavelength approximation, including higher-order multipoles where needed. By helping distinguish Standard-Model recoil effects from possible signatures of new physics, this framework supports the interpretation of increasingly precise β-decay experiments.
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BibTeX
@misc{sargsyan2026higherorder,
title = {{Higher-order corrections to beta decays and nuclear structure}},
author = {Grigor Sargsyan and Ayala Glick-Magid},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15927},
eprint = {2610.15927},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.15927},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Higher-order corrections to beta decays and nuclear structure
AU - Grigor Sargsyan
AU - Ayala Glick-Magid
PY - 2026
DA - 2026/10/11
PB - arXiv
DO - 10.48550/arxiv.2610.15927
UR - https://arxiv.org/abs/2610.15927
AB - Precision measurements of nuclear β decay offer a powerful route to tests of physics beyond the Standard Model, but interpreting measurements spectra and correlation observables requires control of subtle nuclear-structure effects. This chapter develops a framework for calculating higher-order corrections--small contributions that can become important at the precision sought in searches for new interactions. After motivating their role in β-decay observables (with radiative corrections treated in the accompanying chapter), we introduce the relevant kinematics and multipole expansion of the shape factor, identify the subleading contributions, and present the impulse-approximation multipole operators. We then describe the nuclear many-body methods used to obtain the required states and transition densities, and derive the corresponding operator matrix elements in the harmonic-oscillator basis. Taken together, these ingredients enable systematic calculations of nuclear shape factors beyond the long-wavelength approximation, including higher-order multipoles where needed. By helping distinguish Standard-Model recoil effects from possible signatures of new physics, this framework supports the interpretation of increasingly precise β-decay experiments.
ER -