Quantifying the breakdown scale of pionless effective field theory

2024/09/12 by Ekström, Andreas, Platter, Lucas · 3 citations
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2409.08197

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 1.4m_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.

Cited by

• Improved Actions for Nuclear Effective Field Theories
• Uncertainties with low-resolution nuclear forces
• Improved nuclear-structure corrections to the hyperfine splitting of electronic and muonic deuterium

Related

• The breakdown scale of pionless effective field theory in the three-nucleon sector
• Bayesian analysis of nucleon-nucleon scattering data in pionless effective field theory
• Effective field theory approaches to pion production in proton-proton collisions
• Including Pions
• Convergence Issues in Nucleon-Nucleon Effective Field Theory