Quantifying the breakdown scale of pionless effective field theory
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912025088622592 |
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| author | Ekström, Andreas Platter, Lucas |
| author_facet | Ekström, Andreas Platter, Lucas |
| contents | We use Bayesian statistics to infer the breakdown scale of pionless effective field theory in its standard power counting and with renormalization of observables carried out using the power-divergence subtraction scheme and cutoff regularization. We condition our inference on predictions of the total neutron-proton scattering cross section up next-to-next-to leading order. We quantify a median breakdown scale of approximately 1.4$m_π$. The 68% degree of belief interval is $[0.96,1.69]m_π$. This result confirms the canonical expectation that the pion mass is a relevant scale in low-energy nuclear physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08197 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantifying the breakdown scale of pionless effective field theory Ekström, Andreas Platter, Lucas Nuclear Theory High Energy Physics - Phenomenology We use Bayesian statistics to infer the breakdown scale of pionless effective field theory in its standard power counting and with renormalization of observables carried out using the power-divergence subtraction scheme and cutoff regularization. We condition our inference on predictions of the total neutron-proton scattering cross section up next-to-next-to leading order. We quantify a median breakdown scale of approximately 1.4$m_π$. The 68% degree of belief interval is $[0.96,1.69]m_π$. This result confirms the canonical expectation that the pion mass is a relevant scale in low-energy nuclear physics. |
| title | Quantifying the breakdown scale of pionless effective field theory |
| topic | Nuclear Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2409.08197 |