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Effective description of Nelson-Barr models and the theta parameter

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Autor(es):
Alves, Gustavo H. S. ; Nishi, Celso C.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: Journal of High Energy Physics; v. N/A, n. 9, p. 53-pg., 2025-09-19.
Resumo

Nelson-Barr theories solve the strong CP problem with CP spontaneously broken at Lambda cp and transmitted to the CP conserving version of the SM through vector-like quarks (VLQs). For an arbitrary number of CP breaking scalars and VLQs, we perform the full one-loop matching calculations at Lambda cp up to dimension five operators and the relevant matching calculations at the VLQ scale relevant to tracking the contributions to the parameter theta<overline>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \overline{\theta} $$\end{document}. In the EFT after the CP breaking scalars have been integrated out, we confirm that the running of theta<overline>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \overline{\theta} $$\end{document} at one-loop is induced by CP violating dimension five operators and similarly by dimension six operator after matching to the SMEFT. In the latter, an additional contribution enters in the matching to theta<overline>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \overline{\theta} $$\end{document} at tree-level due to a dimension five operator. Analyzing the experimental constraint from theta<overline>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \overline{\theta} $$\end{document} for generic settings, we see that a large separation between Lambda cp and the VLQ scale already suppresses the one-loop contribution to theta<overline>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \overline{\theta} $$\end{document} sufficiently. We confirm that a simple extension based on a nonconventional CP has vanishing one-loop contribution to theta<overline>\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \overline{\theta} $$\end{document}. Part of our results can be also applied to generic VLQ extensions of the SM. (AU)

Processo FAPESP: 14/19164-6 - Desafios para o século XXI em física e astrofísica de neutrinos
Beneficiário:Orlando Luis Goulart Peres
Modalidade de apoio: Auxílio à Pesquisa - Projetos Especiais