{"title":"Quantifying the breakdown scale of pionless effective field theory","authors":"Andreas Ekström, Lucas Platter","doi":"arxiv-2409.08197","DOIUrl":null,"url":null,"abstract":"We use Bayesian statistics to infer the breakdown scale of pionless effective\nfield theory in its standard power counting and with renormalization of\nobservables carried out using the power-divergence subtraction scheme and\ncutoff regularization. We condition our inference on predictions of the total\nneutron-proton scattering cross section up next-to-next-to leading order. We\nquantify a median breakdown scale of approximately 1.4$m_\\pi$. The 68% degree\nof belief interval is $[0.96,1.69]m_\\pi$. This result confirms the canonical\nexpectation that the pion mass is a relevant scale in low-energy nuclear\nphysics.","PeriodicalId":501573,"journal":{"name":"arXiv - PHYS - Nuclear Theory","volume":"3 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Nuclear Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.08197","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.