Radiative and exchange corrections for two-neutrino double-beta decay
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arXiv
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| Natura: | Preprint |
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2024
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| _version_ | 1866911416811782144 |
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| author | Niţescu, Ovidiu Šimkovic, Fedor |
| author_facet | Niţescu, Ovidiu Šimkovic, Fedor |
| contents | We investigate the impact of radiative and atomic exchange corrections in the two-neutrino double-beta ($2νββ$)-decay of $^{100}$Mo. In the calculation of the exchange correction, the electron wave functions are obtained from a modified Dirac-Hartree-Fock-Slater self-consistent framework that ensures orthogonality between continuum and bound states. The atomic exchange correction causes a steep increase in the low-energy region of the single-electron spectrum, consistent with previous studies on $β$-decay, while the radiative correction primarily accounts for a 5\% increase in the decay rate of $^{100}$Mo. When combined, the radiative and exchange effects cause a leftward shift of approximately 10 keV in the maximum of the summed electron spectrum. This shift may impact current constraints on parameters governing potential new physics scenarios in $2νββ$-decay. The exchange and radiative corrections are introduced on top of our previous description of $2νββ$-decay, where we used a Taylor expansion for the lepton energy parameters within the nuclear matrix elements denominators. This approach results in multiple components for each observable, controlled by the measurable $ξ_{31}$ and $ξ_{51}$ parameters. We explore the effects of different $ξ_{31}$ and $ξ_{51}$ values, including their experimental measurements, on the total corrected spectra. These refined theoretical predictions can serve as precise inputs for double-beta decay experiments investigating standard and new physics scenarios within $2νββ$-decay. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05405 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Radiative and exchange corrections for two-neutrino double-beta decay Niţescu, Ovidiu Šimkovic, Fedor Nuclear Theory High Energy Physics - Theory We investigate the impact of radiative and atomic exchange corrections in the two-neutrino double-beta ($2νββ$)-decay of $^{100}$Mo. In the calculation of the exchange correction, the electron wave functions are obtained from a modified Dirac-Hartree-Fock-Slater self-consistent framework that ensures orthogonality between continuum and bound states. The atomic exchange correction causes a steep increase in the low-energy region of the single-electron spectrum, consistent with previous studies on $β$-decay, while the radiative correction primarily accounts for a 5\% increase in the decay rate of $^{100}$Mo. When combined, the radiative and exchange effects cause a leftward shift of approximately 10 keV in the maximum of the summed electron spectrum. This shift may impact current constraints on parameters governing potential new physics scenarios in $2νββ$-decay. The exchange and radiative corrections are introduced on top of our previous description of $2νββ$-decay, where we used a Taylor expansion for the lepton energy parameters within the nuclear matrix elements denominators. This approach results in multiple components for each observable, controlled by the measurable $ξ_{31}$ and $ξ_{51}$ parameters. We explore the effects of different $ξ_{31}$ and $ξ_{51}$ values, including their experimental measurements, on the total corrected spectra. These refined theoretical predictions can serve as precise inputs for double-beta decay experiments investigating standard and new physics scenarios within $2νββ$-decay. |
| title | Radiative and exchange corrections for two-neutrino double-beta decay |
| topic | Nuclear Theory High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.05405 |