Nonlocal one-loop form factors of the spectral action with Standard Model content

Nonlocal one-loop form factors of the spectral action with Standard Model content | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 1 April 2026 V1 Latest version Share on Nonlocal one-loop form factors of the spectral action with Standard Model content Author : David Alfyorov 0009-0003-6027-7837 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.177507193.33027854/v1 163 views 105 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract We compute the complete nonlocal one-loop form factors F1(□/Λ 2) and F2(□/Λ 2, ξ) of the curvature-squared sector of the spectral action S = Tr f (D 2 /Λ 2) for the full Standard Model particle content: 4 real scalars (Higgs), 45/2 Dirac-equivalent fermions (3 generations), and 12 gauge bosons (SU(3) × SU(2) × U(1)). Using the Barvinsky-Vilkovisky covariant perturbation theory and the Codello-Zanusso diagrammatic heat kernel, we derive closed-form results for each spin sector (0, 1/2, 1) in the {C 2, R 2 } Weyl basis and assemble the Standard Model totals. The local limits, determined by standard heat kernel coefficients [1, 2], yield αC = 13/120 for the Weyl-squared coefficient and αR(ξ) = 2(ξ − 1/6) 2 for the R 2 coefficient, where ξ is the Higgs non-minimal coupling. Both form factors are shown to be entire functions of □/Λ 2, ensuring that the one-loop effective action introduces no additional propagator poles beyond those of the classical theory. We derive the c1/c2 ratio in the {R 2, R 2 µν } basis, the scalar graviton decoupling condition at conformal coupling ξ = 1/6, and the UV asymptotic behavior. The form factors yield a modified Newtonian potential with calculable effective masses m2 = Λ √ 60/13 and m0 = Λ/ √ 6(ξ − 1/6) 2, connecting the spectral action framework to solar-system phenomenology. All results are verified by independent multi-precision numerical evaluation. Supplementary Material File (sct_form_factors.pdf) Download 254.88 KB Information & Authors Information Version history V1 Version 1 01 April 2026 Copyright This work is licensed under a Creative Commons Attribution 4.0 International License Keywords general relativity graviton propagator gravity heat kernel modified gravity, dark matter alternatives, genzel paradox, galactic dynamics, general relativity, scalar-tensor theory, hubble tension, sparc dataset, human-ai collaboration nonlocal form factors physics quadratic gravity relativity spectral action standard model theoretical physics weyl tensor Authors Affiliations David Alfyorov 0009-0003-6027-7837 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 163 views 105 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation David Alfyorov. Nonlocal one-loop form factors of the spectral action with Standard Model content. Authorea . 01 April 2026. DOI: https://doi.org/10.22541/au.177507193.33027854/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . Format Please select one from the list RIS (ProCite, Reference Manager) EndNote BibTex Medlars RefWorks Direct import Tips for downloading citations document.getElementById('citMgrHelpLink').addEventListener('click', function() { popupHelp(this.href); return false; }); $(".js__slcInclude").on("change", function(e){ if ($(this).val() == 'refworks') $('#direct').prop("checked", false); $('#direct').prop("disabled", ($(this).val() == 'refworks')); }); View Options View options PDF View PDF Figures Tables Media Share Share Share article link Copy Link Copied! Copying failed. 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