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<p>We identify <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_25619_Article_IEq1.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="28" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>m</mi> <mn>12</mn> <mn>2</mn> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {m}_{12}^2 \)</EquationSource> </InlineEquation> as a spurion of non-invertible Peccei-Quinn symmetry in the type II 2HDM with gauged quark flavor. Thus a UV theory which introduces quark color-flavor monopoles can naturally realize alignment without decoupling and can furthermore revive the Weinberg-Wilczek axion. As an example we consider the SU(9) theory of color-flavor unification, which needs no new fermions. This is the first model-building use of non-invertible symmetry to find a Dirac natural explanation for a small <i>relevant</i> parameter.</p>

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Non-invertible Peccei-Quinn symmetry, natural 2HDM alignment, and the visible axion

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月26日

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  • Antonio Delgado,
  • Seth Koren

摘要

We identify m 12 2 \( {m}_{12}^2 \) as a spurion of non-invertible Peccei-Quinn symmetry in the type II 2HDM with gauged quark flavor. Thus a UV theory which introduces quark color-flavor monopoles can naturally realize alignment without decoupling and can furthermore revive the Weinberg-Wilczek axion. As an example we consider the SU(9) theory of color-flavor unification, which needs no new fermions. This is the first model-building use of non-invertible symmetry to find a Dirac natural explanation for a small relevant parameter.