Inferring the breakdown scales of the chiral expansions for $g_A$ and $m_N$
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915657737568256 |
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| author | Ekström, Andreas Phillips, Daniel R. Platter, Lucas Schindler, Matthias R. |
| author_facet | Ekström, Andreas Phillips, Daniel R. Platter, Lucas Schindler, Matthias R. |
| contents | We apply Bayesian inference to the order-by-order chiral perturbation theory ($χ$PT) expansions for the axial-vector coupling constant $g_A$ and the nucleon mass m_N, and thereby infer the scales at which $χ$PT breaks down for these two observables. Using a pointwise Bayesian analysis, we find that the inferred breakdown scales are notably different for the two observables. For the chiral expansion of $g_A$, we obtain $251^{+20}_{-50}$ MeV and $211^{+20}_{-30}$ MeV using two distinct sets of low-energy constants, while for the chiral expansion of $m_N$ we infer a significantly larger breakdown scale of $491^{+60}_{-90}$ MeV. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06088 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inferring the breakdown scales of the chiral expansions for $g_A$ and $m_N$ Ekström, Andreas Phillips, Daniel R. Platter, Lucas Schindler, Matthias R. High Energy Physics - Phenomenology Nuclear Theory We apply Bayesian inference to the order-by-order chiral perturbation theory ($χ$PT) expansions for the axial-vector coupling constant $g_A$ and the nucleon mass m_N, and thereby infer the scales at which $χ$PT breaks down for these two observables. Using a pointwise Bayesian analysis, we find that the inferred breakdown scales are notably different for the two observables. For the chiral expansion of $g_A$, we obtain $251^{+20}_{-50}$ MeV and $211^{+20}_{-30}$ MeV using two distinct sets of low-energy constants, while for the chiral expansion of $m_N$ we infer a significantly larger breakdown scale of $491^{+60}_{-90}$ MeV. |
| title | Inferring the breakdown scales of the chiral expansions for $g_A$ and $m_N$ |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2512.06088 |