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Peer-reviewedCC BY 4.0The European Physical Journal C

Implications of the muon anomalous magnetic moment in a doublet left-right symmetric model

  1. 1FES-Cuautitlán, UNAM
  2. 2Universidad Nacional de Colombia

Abstract

We compute the complete set of one-loop contributions to the muon anomalous magnetic moment, aμ =(g−2)μ /2 a μ = ( g - 2 ) μ / 2 , in the doublet left-right symmetric model (DLRSM), based on the gauge group SU(2)L⊗ SU(2)R⊗ U(1)B−L S U ( 2 ) L ⊗ S U ( 2 ) R ⊗ U ( 1 ) B - L with neutrino masses generated via the inverse seesaw (ISS) mechanism. We evaluate all four one-loop topologies VFF, SFF, FVV, and FSS arising from the extended gauge bosons ( W′ W ′ , Z′ Z ′ ), the new scalar sector ( H30 H 3 0 , A10 A 1 0 , HR± H R ± , HL± H L ± ), and the heavy neutrino spectrum generated by the ISS mechanism, using the Casas–Ibarra parametrization to express the neutrino mixing in terms of physical observables. Imposing the experimental bound on varDelta aμ Δ a μ , we find a lower bound vR > rsim 1 v R ≳ 1 TeV, corresponding to mW′ > rsim 325 m W ′ ≳ 325 GeV, mZ′ > rsim 385 m Z ′ ≳ 385 GeV, and mN > rsim 700 m N ≳ 700 GeV under the manifest left-right symmetry condition gR=gL g R = g L (strengthened to mW′ > rsim 1625 m W ′ ≳ 1625 GeV and mZ′ > rsim 1650 m Z ′ ≳ 1650 GeV for gR≠ gL g R ≠ g L ). This bound lies well below the existing flavor and direct-collider limits, so the muon g−2 g - 2 provides a sub-leading and complementary constraint on the DLRSM.

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BibTeX
@article{zelenymora2026implications,
  title = {{Implications of the muon anomalous magnetic moment in a doublet left-right symmetric model}},
  author = {M. Zeleny-Mora and R. Gaitán-Lozano and R. Martinez},
  journal = {The European Physical Journal C},
  year = {2026},
  month = nov,
  doi = {10.1140/epjc/s10052-026-16423-3},
  url = {https://link.springer.com/article/10.1140/epjc/s10052-026-16423-3},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Implications of the muon anomalous magnetic moment in a doublet left-right symmetric model
AU  - M. Zeleny-Mora
AU  - R. Gaitán-Lozano
AU  - R. Martinez
PY  - 2026
DA  - 2026/11/03
JO  - The European Physical Journal C
DO  - 10.1140/epjc/s10052-026-16423-3
UR  - https://link.springer.com/article/10.1140/epjc/s10052-026-16423-3
AB  - We compute the complete set of one-loop contributions to the muon anomalous magnetic moment, a_μ =(g−2)_μ /2 a μ = ( g - 2 ) μ / 2 , in the doublet left-right symmetric model (DLRSM), based on the gauge group SU(2)_L⊗ SU(2)_R⊗ U(1)_B−L S U ( 2 ) L ⊗ S U ( 2 ) R ⊗ U ( 1 ) B - L with neutrino masses generated via the inverse seesaw (ISS) mechanism. We evaluate all four one-loop topologies VFF, SFF, FVV, and FSS arising from the extended gauge bosons ( W^′  W ′ , Z^′  Z ′ ), the new scalar sector ( H_3^0 H 3 0 , A_1^0 A 1 0 , H_R^±  H R ± , H_L^±  H L ± ), and the heavy neutrino spectrum generated by the ISS mechanism, using the Casas–Ibarra parametrization to express the neutrino mixing in terms of physical observables. Imposing the experimental bound on varDelta a_μ  Δ a μ , we find a lower bound v_R > rsim 1 v R ≳ 1 TeV, corresponding to m_W^′  > rsim 325 m W ′ ≳ 325 GeV, m_Z^′  > rsim 385 m Z ′ ≳ 385 GeV, and m_N > rsim 700 m N ≳ 700 GeV under the manifest left-right symmetry condition g_R=g_L g R = g L (strengthened to m_W^′  > rsim 1625 m W ′ ≳ 1625 GeV and m_Z^′  > rsim 1650 m Z ′ ≳ 1650 GeV for g_R≠ g_L g R ≠ g L ). This bound lies well below the existing flavor and direct-collider limits, so the muon g−2 g - 2 provides a sub-leading and complementary constraint on the DLRSM.
SN  - 1434-6052
ER  -