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<p>A two-Higgs doublet model with a discrete <i>Z</i><sub>3</sub> symmetry acquires, in its scalar and gauge sectors, an accidental continuous U(1) symmetry. One therefore finds, after spontaneous symmetry breaking of those symmetries, that a massless pseudoscalar arises, as expected by Goldstone’s theorem. In the fermion sector, however, it is possible to obtain Yukawa matrix textures which distinguish between the <i>Z</i><sub>3</sub> and U(1) symmetries, so one expects loop corrections to originate a non-zero pseudoscalar mass for the <i>Z</i><sub>3</sub> case. We perform an explicit calculation that shows that at one-loop the pseudoscalar remains massless for all but one tested <i>Z</i><sub>3</sub> Yukawa matrices. The pseudoscalar mass thus found is highly suppressed by the hierarchy of fermion masses.</p>

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One-loop pseudoscalar mass in a 2HDM with a Z3 symmetry

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月28日

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  • P. M. Ferreira,
  • Tomás F. Pinto

摘要

A two-Higgs doublet model with a discrete Z3 symmetry acquires, in its scalar and gauge sectors, an accidental continuous U(1) symmetry. One therefore finds, after spontaneous symmetry breaking of those symmetries, that a massless pseudoscalar arises, as expected by Goldstone’s theorem. In the fermion sector, however, it is possible to obtain Yukawa matrix textures which distinguish between the Z3 and U(1) symmetries, so one expects loop corrections to originate a non-zero pseudoscalar mass for the Z3 case. We perform an explicit calculation that shows that at one-loop the pseudoscalar remains massless for all but one tested Z3 Yukawa matrices. The pseudoscalar mass thus found is highly suppressed by the hierarchy of fermion masses.