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.
量化无先锋有效场理论的击穿尺度
我们利用贝叶斯统计推断了无先驱有效场理论在标准幂计数中的击穿尺度,并利用幂发散减法方案和截止正则化对观测值进行了重正则化。我们的推论以中子-质子总散射截面的下至下至前导阶预测为条件。我们计算的中位击穿尺度约为 1.4$m_\pi$。68%的可信度区间为$[0.96,1.69]m_\pi$。这一结果证实了先锋质量是低能核物理中一个相关尺度的经典预期。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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