Radiative corrections to neutron $β$ decay with explicit $Δ(1232)$ degrees of freedom

[2608.14794] Radiative corrections to neutron $β$ decay with explicit $Δ(1232)$ degrees of freedom Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search High Energy Physics - Phenomenology arXiv:2608.14794 (hep-ph) [Submitted on 14 Aug 2026] Title: Radiative corrections to neutron $β$ decay with explicit $Δ(1232)$ degrees of freedom Authors: Lemonia Gialidi , Emanuele Mereghetti , Jordy de Vries View a PDF of the paper titled Radiative corrections to neutron $\beta$ decay with explicit $\Delta (1232)$ degrees of freedom, by Lemonia Gialidi and 1 other authors View PDF HTML (experimental) Abstract: We study electromagnetic radiative corrections to neutron $\beta$ decay within chiral perturbation theory extended to include the $\Delta(1232)$ resonance as an explicit degree of freedom. Building on a previous analysis performed in the $\Delta$-less theory, we identify and compute additional loop contributions with intermediate $\Delta$ states at leading and next-to-leading order in the small-scale expansion, and match the results to the pionless effective field theory. We find that the electromagnetic shift in the axial coupling is reduced by approximately a factor of two compared to the $\Delta$-less result. The correction remains at the percent level and is phenomenologically significant for the comparison between experimental extractions and lattice-QCD determinations of the nucleon axial charge. We also obtain a new $\Delta$-induced contribution to the weak magnetism term, which is an order of magnitude smaller than the pion-loop result and negligible for upcoming experiments. Comments: 11 pages, 2 figures Subjects: High Energy Physics - Phenomenology (hep-ph) ; High Energy Physics - Lattice (hep-lat); Nuclear Theory (nucl-th) Report number: LA-UR-26-27228 Cite as: arXiv:2608.14794 [hep-ph] (or arXiv:2608.14794v1 [hep-ph] for this version) https://doi.org/10.48550/arXiv.2608.14794 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Lemonia Gialidi [ view email ] [v1] Fri, 14 Aug 2026 18:02:54 UTC (88 KB) Full-text links: Access Paper: View a PDF of the paper titled Radiative corrections to neutron $\beta$ decay with explicit $\Delta (1232)$ degrees of freedom, by Lemonia Gialidi and 1 other authors View PDF HTML (experimental) TeX Source view license Current browse context: hep-ph < prev | next > new | recent | 2026-08 Change to browse by: hep-lat nucl-th References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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