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arXiv · 2409.08197

Quantifying the breakdown scale of pionless effective field theory

Andreas Ekström·Lucas Platter
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Abstract

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$m_\pi$. The 68% degree of belief interval is $[0.96,1.69]m_\pi$. This result confirms the canonical expectation that the pion mass is a relevant scale in low-energy nuclear physics.

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Andreas Ekström, Lucas Platter. 2024-09-12. Quantifying the breakdown scale of pionless effective field theory. https://arxiv.org/abs/2409.08197

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