Spontaneous CP violation in supersymmetric QCD

Abstract We investigate a composite model of spontaneous CP violation based on a new supersymmetric QCD as a solution to the strong CP problem. The scalar components of the meson chiral superfields obtain complex vacuum expectation values to break CP symmetry spontaneously. Then, wavefunction renorm...

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Main Authors: Shota Nakagawa, Yuichiro Nakai, Yaoduo Wang
Format: Article
Language:English
Published: SpringerOpen 2024-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP09(2024)105
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author Shota Nakagawa
Yuichiro Nakai
Yaoduo Wang
author_facet Shota Nakagawa
Yuichiro Nakai
Yaoduo Wang
author_sort Shota Nakagawa
collection DOAJ
description Abstract We investigate a composite model of spontaneous CP violation based on a new supersymmetric QCD as a solution to the strong CP problem. The scalar components of the meson chiral superfields obtain complex vacuum expectation values to break CP symmetry spontaneously. Then, wavefunction renormalization for the quark kinetic terms provides the Cabibbo-Kobayashi-Maskawa (CKM) phase, while the strong CP phase θ ¯ $$ \overline{\theta} $$ is protected by nonrenormalization of the superpotential and hermiticity of the wavefunction renormalization factor. In our model, the right-handed down-type quark multiplets are given by composite states, enhancing their couplings to CP breaking fields, which is essential to realize the observed CKM phase. The non-perturbative dynamics generates the scale of spontaneous CP violation hierarchically lower than the Planck scale. We discuss potential corrections to θ ¯ $$ \overline{\theta} $$ and find a viable parameter space of the model to solve the strong CP problem without fine-tuning.
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spelling doaj-art-5ea3f66de32e408faf0fcf5fe80a02742025-08-20T02:20:48ZengSpringerOpenJournal of High Energy Physics1029-84792024-09-012024911910.1007/JHEP09(2024)105Spontaneous CP violation in supersymmetric QCDShota Nakagawa0Yuichiro Nakai1Yaoduo Wang2Tsung-Dao Lee Institute, Shanghai Jiao Tong UniversityTsung-Dao Lee Institute, Shanghai Jiao Tong UniversityTsung-Dao Lee Institute, Shanghai Jiao Tong UniversityAbstract We investigate a composite model of spontaneous CP violation based on a new supersymmetric QCD as a solution to the strong CP problem. The scalar components of the meson chiral superfields obtain complex vacuum expectation values to break CP symmetry spontaneously. Then, wavefunction renormalization for the quark kinetic terms provides the Cabibbo-Kobayashi-Maskawa (CKM) phase, while the strong CP phase θ ¯ $$ \overline{\theta} $$ is protected by nonrenormalization of the superpotential and hermiticity of the wavefunction renormalization factor. In our model, the right-handed down-type quark multiplets are given by composite states, enhancing their couplings to CP breaking fields, which is essential to realize the observed CKM phase. The non-perturbative dynamics generates the scale of spontaneous CP violation hierarchically lower than the Planck scale. We discuss potential corrections to θ ¯ $$ \overline{\theta} $$ and find a viable parameter space of the model to solve the strong CP problem without fine-tuning.https://doi.org/10.1007/JHEP09(2024)105CKM ParametersCP ViolationSupersymmetry
spellingShingle Shota Nakagawa
Yuichiro Nakai
Yaoduo Wang
Spontaneous CP violation in supersymmetric QCD
Journal of High Energy Physics
CKM Parameters
CP Violation
Supersymmetry
title Spontaneous CP violation in supersymmetric QCD
title_full Spontaneous CP violation in supersymmetric QCD
title_fullStr Spontaneous CP violation in supersymmetric QCD
title_full_unstemmed Spontaneous CP violation in supersymmetric QCD
title_short Spontaneous CP violation in supersymmetric QCD
title_sort spontaneous cp violation in supersymmetric qcd
topic CKM Parameters
CP Violation
Supersymmetry
url https://doi.org/10.1007/JHEP09(2024)105
work_keys_str_mv AT shotanakagawa spontaneouscpviolationinsupersymmetricqcd
AT yuichironakai spontaneouscpviolationinsupersymmetricqcd
AT yaoduowang spontaneouscpviolationinsupersymmetricqcd