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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.07310 |
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| _version_ | 1866909780127252480 |
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| author | King, Garrett B. Carlson, Joseph Flores, Abraham R. Gandolfi, Stefano Mereghetti, Emanuele Pastore, Saori Piarulli, Maria Wiringa, Robert B. |
| author_facet | King, Garrett B. Carlson, Joseph Flores, Abraham R. Gandolfi, Stefano Mereghetti, Emanuele Pastore, Saori Piarulli, Maria Wiringa, Robert B. |
| contents | We compute radiative corrections to the superallowed $β$ decay of $^{10}{\rm C}$ in an effective field theory approach using nuclear matrix elements obtained from quantum Monte Carlo calculations. These corrections are an important ingredient in the extraction of the Cabibbo-Kobayashi-Masakawa quark mixing matrix element $V_{ud}$, and the role of this work is to illuminate the uncertainties arising from nuclear structure. Our results provide good agreement with both the traditional extraction of $V_{ud}$, as well as with a more recent evaluation performed using the no-core shell model and a dispersion formalism. The dominant uncertainty in this approach is the presence of two unknown low-energy constants that enter into the relevant nuclear matrix elements. Future determinations of these low-energy constants -- either from QCD or modeling them with two nucleon amplitudes -- would improve the precision of the extraction in this formalism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07310 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Monte Carlo calculation of $δ_{\rm NS}$ in $^{10}$C using an effective field theory approach King, Garrett B. Carlson, Joseph Flores, Abraham R. Gandolfi, Stefano Mereghetti, Emanuele Pastore, Saori Piarulli, Maria Wiringa, Robert B. Nuclear Theory We compute radiative corrections to the superallowed $β$ decay of $^{10}{\rm C}$ in an effective field theory approach using nuclear matrix elements obtained from quantum Monte Carlo calculations. These corrections are an important ingredient in the extraction of the Cabibbo-Kobayashi-Masakawa quark mixing matrix element $V_{ud}$, and the role of this work is to illuminate the uncertainties arising from nuclear structure. Our results provide good agreement with both the traditional extraction of $V_{ud}$, as well as with a more recent evaluation performed using the no-core shell model and a dispersion formalism. The dominant uncertainty in this approach is the presence of two unknown low-energy constants that enter into the relevant nuclear matrix elements. Future determinations of these low-energy constants -- either from QCD or modeling them with two nucleon amplitudes -- would improve the precision of the extraction in this formalism. |
| title | Quantum Monte Carlo calculation of $δ_{\rm NS}$ in $^{10}$C using an effective field theory approach |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2509.07310 |