One-loop pseudoscalar mass in a 2HDM with a Z 3 symmetry

Abstract A two-Higgs doublet model with a discrete Z 3 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...

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Main Authors: P. M. Ferreira, Tomás F. Pinto
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2025)264
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author P. M. Ferreira
Tomás F. Pinto
author_facet P. M. Ferreira
Tomás F. Pinto
author_sort P. M. Ferreira
collection DOAJ
description Abstract A two-Higgs doublet model with a discrete Z 3 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 Z 3 and U(1) symmetries, so one expects loop corrections to originate a non-zero pseudoscalar mass for the Z 3 case. We perform an explicit calculation that shows that at one-loop the pseudoscalar remains massless for all but one tested Z 3 Yukawa matrices. The pseudoscalar mass thus found is highly suppressed by the hierarchy of fermion masses.
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spelling doaj-art-9ddd8ddebe364cb2b14ff761f7ad50a22025-08-20T03:45:44ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025713410.1007/JHEP07(2025)264One-loop pseudoscalar mass in a 2HDM with a Z 3 symmetryP. M. Ferreira0Tomás F. Pinto1Instituto Superior de Engenharia de Lisboa — ISELCentro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de LisboaAbstract A two-Higgs doublet model with a discrete Z 3 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 Z 3 and U(1) symmetries, so one expects loop corrections to originate a non-zero pseudoscalar mass for the Z 3 case. We perform an explicit calculation that shows that at one-loop the pseudoscalar remains massless for all but one tested Z 3 Yukawa matrices. The pseudoscalar mass thus found is highly suppressed by the hierarchy of fermion masses.https://doi.org/10.1007/JHEP07(2025)264Multi-Higgs ModelsDiscrete SymmetriesGlobal Symmetries
spellingShingle P. M. Ferreira
Tomás F. Pinto
One-loop pseudoscalar mass in a 2HDM with a Z 3 symmetry
Journal of High Energy Physics
Multi-Higgs Models
Discrete Symmetries
Global Symmetries
title One-loop pseudoscalar mass in a 2HDM with a Z 3 symmetry
title_full One-loop pseudoscalar mass in a 2HDM with a Z 3 symmetry
title_fullStr One-loop pseudoscalar mass in a 2HDM with a Z 3 symmetry
title_full_unstemmed One-loop pseudoscalar mass in a 2HDM with a Z 3 symmetry
title_short One-loop pseudoscalar mass in a 2HDM with a Z 3 symmetry
title_sort one loop pseudoscalar mass in a 2hdm with a z 3 symmetry
topic Multi-Higgs Models
Discrete Symmetries
Global Symmetries
url https://doi.org/10.1007/JHEP07(2025)264
work_keys_str_mv AT pmferreira onelooppseudoscalarmassina2hdmwithaz3symmetry
AT tomasfpinto onelooppseudoscalarmassina2hdmwithaz3symmetry