Constraints on ∆L = 2 vector bosons with tree couplings to SM particles

Abstract We investigate phenomenological implications of vector bosons V transforming as (1, 2, -3/2) under the standard model (SM) product gauge group SU(3) C , SU(2) L and U(1) Y . These vector bosons can couple to two SM leptons at tree-level forming dimension-4 operators. These operators dictate...

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Main Authors: Zhong-Lv Huang, Xiao-Gang He
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP07(2025)205
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author Zhong-Lv Huang
Xiao-Gang He
author_facet Zhong-Lv Huang
Xiao-Gang He
author_sort Zhong-Lv Huang
collection DOAJ
description Abstract We investigate phenomenological implications of vector bosons V transforming as (1, 2, -3/2) under the standard model (SM) product gauge group SU(3) C , SU(2) L and U(1) Y . These vector bosons can couple to two SM leptons at tree-level forming dimension-4 operators. These operators dictate V to have two units of global lepton number, ∆L = 2. The operators generated conserve the global lepton number but can violate generational lepton numbers. We study constraints on the couplings Y of V to SM particles using tree-level processes such as l α − → l β + l ρ − l σ − $$ {l}_{\alpha}^{-}\to {l}_{\beta}^{+}{l}_{\rho}^{-}{l}_{\sigma}^{-} $$ , muonium and antimuonium oscillation, neutrino trident scattering, inverse muon decay, e − e + → l − l +, and also one-loop level processes such as the magnetic dipole moment of a charged lepton and l i → l j γ. Strong constraints are obtained from l α − → l β + l ρ − l σ − $$ {l}_{\alpha}^{-}\to {l}_{\beta}^{+}{l}_{\rho}^{-}{l}_{\sigma}^{-} $$ with | Y ee Y μe ∗ $$ {Y}_{ee}{Y}_{\mu e}^{\ast } $$ | < 3.29 × 10 −11 (m V /GeV)2 , ∣ Y ee Y μe ∗ ∣ $$ \mid {Y}_{ee}{Y}_{\mu e}^{\ast}\mid $$ < 3.29 × 10 −11 (m V /GeV)2 and from l i → l j γ with ∣ Y τe Y μτ ∗ ∣ $$ \mid {Y}_{\tau e}{Y}_{\mu \tau}^{\ast}\mid $$ < 3.46 × 10 −12(m V /GeV)2 , ∣ Y eτ Y τμ ∗ ∣ $$ \mid {Y}_{e\tau}{Y}_{\tau \mu}^{\ast}\mid $$ < 3.46 × 10 −12 (m V /GeV)2, respectively. Interestingly, the imaginary part of the coupling constant in our model induces CP violation, which is constrained by experimental limits on the electric dipole moment.
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spelling doaj-art-580fe72674a4412ebbfec0c1a8b0bffe2025-08-20T03:04:08ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025711810.1007/JHEP07(2025)205Constraints on ∆L = 2 vector bosons with tree couplings to SM particlesZhong-Lv Huang0Xiao-Gang He1State Key Laboratory of Dark Matter Physics, Tsung-Dao Lee Institute & School of Physics and Astronomy, Shanghai Jiao Tong UniversityState Key Laboratory of Dark Matter Physics, Tsung-Dao Lee Institute & School of Physics and Astronomy, Shanghai Jiao Tong UniversityAbstract We investigate phenomenological implications of vector bosons V transforming as (1, 2, -3/2) under the standard model (SM) product gauge group SU(3) C , SU(2) L and U(1) Y . These vector bosons can couple to two SM leptons at tree-level forming dimension-4 operators. These operators dictate V to have two units of global lepton number, ∆L = 2. The operators generated conserve the global lepton number but can violate generational lepton numbers. We study constraints on the couplings Y of V to SM particles using tree-level processes such as l α − → l β + l ρ − l σ − $$ {l}_{\alpha}^{-}\to {l}_{\beta}^{+}{l}_{\rho}^{-}{l}_{\sigma}^{-} $$ , muonium and antimuonium oscillation, neutrino trident scattering, inverse muon decay, e − e + → l − l +, and also one-loop level processes such as the magnetic dipole moment of a charged lepton and l i → l j γ. Strong constraints are obtained from l α − → l β + l ρ − l σ − $$ {l}_{\alpha}^{-}\to {l}_{\beta}^{+}{l}_{\rho}^{-}{l}_{\sigma}^{-} $$ with | Y ee Y μe ∗ $$ {Y}_{ee}{Y}_{\mu e}^{\ast } $$ | < 3.29 × 10 −11 (m V /GeV)2 , ∣ Y ee Y μe ∗ ∣ $$ \mid {Y}_{ee}{Y}_{\mu e}^{\ast}\mid $$ < 3.29 × 10 −11 (m V /GeV)2 and from l i → l j γ with ∣ Y τe Y μτ ∗ ∣ $$ \mid {Y}_{\tau e}{Y}_{\mu \tau}^{\ast}\mid $$ < 3.46 × 10 −12(m V /GeV)2 , ∣ Y eτ Y τμ ∗ ∣ $$ \mid {Y}_{e\tau}{Y}_{\tau \mu}^{\ast}\mid $$ < 3.46 × 10 −12 (m V /GeV)2, respectively. Interestingly, the imaginary part of the coupling constant in our model induces CP violation, which is constrained by experimental limits on the electric dipole moment.https://doi.org/10.1007/JHEP07(2025)205Baryon/Lepton Number ViolationSpecific BSM Phenomenology
spellingShingle Zhong-Lv Huang
Xiao-Gang He
Constraints on ∆L = 2 vector bosons with tree couplings to SM particles
Journal of High Energy Physics
Baryon/Lepton Number Violation
Specific BSM Phenomenology
title Constraints on ∆L = 2 vector bosons with tree couplings to SM particles
title_full Constraints on ∆L = 2 vector bosons with tree couplings to SM particles
title_fullStr Constraints on ∆L = 2 vector bosons with tree couplings to SM particles
title_full_unstemmed Constraints on ∆L = 2 vector bosons with tree couplings to SM particles
title_short Constraints on ∆L = 2 vector bosons with tree couplings to SM particles
title_sort constraints on ∆l 2 vector bosons with tree couplings to sm particles
topic Baryon/Lepton Number Violation
Specific BSM Phenomenology
url https://doi.org/10.1007/JHEP07(2025)205
work_keys_str_mv AT zhonglvhuang constraintsonl2vectorbosonswithtreecouplingstosmparticles
AT xiaoganghe constraintsonl2vectorbosonswithtreecouplingstosmparticles