Study some two loop contribution to muon anomalous MDM in the N-B-LSSM

Abstract It is well known that the muon magnetic dipole moment (MDM) has close relation with the new physics (NP) in the development of the Standard Model (SM). Combined with the Fermilab National Accelerator Laboratory (FNAL) and the Brookhaven National Laboratory (BNL) E821 result, the departure f...

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Main Authors: Xing-Yu Han, Shu-Min Zhao, Long Ruan, Xi Wang, Xing-Xing Dong
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-13878-8
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author Xing-Yu Han
Shu-Min Zhao
Long Ruan
Xi Wang
Xing-Xing Dong
author_facet Xing-Yu Han
Shu-Min Zhao
Long Ruan
Xi Wang
Xing-Xing Dong
author_sort Xing-Yu Han
collection DOAJ
description Abstract It is well known that the muon magnetic dipole moment (MDM) has close relation with the new physics (NP) in the development of the Standard Model (SM). Combined with the Fermilab National Accelerator Laboratory (FNAL) and the Brookhaven National Laboratory (BNL) E821 result, the departure from the SM prediction is about 5.0 $$\sigma .$$ σ . We study the electroweak corrections from several type two-loop SUSY diagrams and the virtual SUSY particles include chargino, neutralino, scalar lepton and scalar neutrino. Based on the latest experimental constraints, we study the muon anomalous MDM under the next to the minimal supersymmetric extension of the SM with local B-L gauge symmetry (N-B-LSSM). The abundant numerical results verify that $$\tan {\beta },$$ tan β , $$T_{e22}$$ T e 22 , $$~M^2_L,~M^2_e,~M_{BB'}$$ M L 2 , M e 2 , M B B ′ play an important role in muon anomalous MDM. $$M^2_e,~\tan {\beta }$$ M e 2 , tan β and $$~T_{e22}$$ T e 22 are sensitive parameters to muon anomalous MDM. From the data obtained in all the figures of the numerical results, most of the values of $$a_{\mu }^{NBL}$$ a μ NBL are in 2 $$\sigma $$ σ interval, which can compensate the departure between the experiment data and the SM prediction.
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spelling doaj-art-e78d29c12a234b6186a2ec0dee84fa882025-02-09T12:51:29ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-02-0185211310.1140/epjc/s10052-025-13878-8Study some two loop contribution to muon anomalous MDM in the N-B-LSSMXing-Yu Han0Shu-Min Zhao1Long Ruan2Xi Wang3Xing-Xing Dong4Department of Physics, Hebei UniversityDepartment of Physics, Hebei UniversityDepartment of Physics, Hebei UniversityDepartment of Physics, Hebei UniversityDepartment of Physics, Hebei UniversityAbstract It is well known that the muon magnetic dipole moment (MDM) has close relation with the new physics (NP) in the development of the Standard Model (SM). Combined with the Fermilab National Accelerator Laboratory (FNAL) and the Brookhaven National Laboratory (BNL) E821 result, the departure from the SM prediction is about 5.0 $$\sigma .$$ σ . We study the electroweak corrections from several type two-loop SUSY diagrams and the virtual SUSY particles include chargino, neutralino, scalar lepton and scalar neutrino. Based on the latest experimental constraints, we study the muon anomalous MDM under the next to the minimal supersymmetric extension of the SM with local B-L gauge symmetry (N-B-LSSM). The abundant numerical results verify that $$\tan {\beta },$$ tan β , $$T_{e22}$$ T e 22 , $$~M^2_L,~M^2_e,~M_{BB'}$$ M L 2 , M e 2 , M B B ′ play an important role in muon anomalous MDM. $$M^2_e,~\tan {\beta }$$ M e 2 , tan β and $$~T_{e22}$$ T e 22 are sensitive parameters to muon anomalous MDM. From the data obtained in all the figures of the numerical results, most of the values of $$a_{\mu }^{NBL}$$ a μ NBL are in 2 $$\sigma $$ σ interval, which can compensate the departure between the experiment data and the SM prediction.https://doi.org/10.1140/epjc/s10052-025-13878-8
spellingShingle Xing-Yu Han
Shu-Min Zhao
Long Ruan
Xi Wang
Xing-Xing Dong
Study some two loop contribution to muon anomalous MDM in the N-B-LSSM
European Physical Journal C: Particles and Fields
title Study some two loop contribution to muon anomalous MDM in the N-B-LSSM
title_full Study some two loop contribution to muon anomalous MDM in the N-B-LSSM
title_fullStr Study some two loop contribution to muon anomalous MDM in the N-B-LSSM
title_full_unstemmed Study some two loop contribution to muon anomalous MDM in the N-B-LSSM
title_short Study some two loop contribution to muon anomalous MDM in the N-B-LSSM
title_sort study some two loop contribution to muon anomalous mdm in the n b lssm
url https://doi.org/10.1140/epjc/s10052-025-13878-8
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