The Supersymmetric Two-Loop Corrections to Muon Magnetic Dipole Moments in the Cp-Violating MSSM

Dong

et al. 2021

Eur. Phys. J. C

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The MSSM is extended to the $$U(1)_X$$ U ( 1 ) X SSM, whose local gauge group is $$SU(3)_C \times SU(2)_L \times U(1)_Y \times U(1)_X$$ S U ( 3 ) C × S U ( 2 ) L × U ( 1 ) Y × U ( 1 ) X . To obtain the $$U(1)_X$$ U ( 1 ) X SSM, we add the new superfields to the MSSM, namely: three Higgs singlets $${\hat{\eta }},~\hat{{\bar{\eta }}},~{\hat{S}}$$ η ^ , η ¯ ^ , S ^ and right-handed neutrinos $${\hat{\nu }}_i$$ ν ^ i . It can give light neutrino tiny mass at the tree level through the seesaw mechanism. The study of the contribution of the two-loop diagrams to the MDM of muon under $$U(1)_X$$ U ( 1 ) X SSM provides the possibility for us to search for new physics. In the analytical calculation of the loop diagrams (one-loop and two-loop diagrams), the effective Lagrangian method is used to derive muon MDM. Here, the considered two-loop diagrams include Barr-Zee type diagrams and rainbow type two-loop diagrams, especially Z–Z rainbow two-loop diagram is taken into account. The obtained numerical results can reach $$7.4\times 10^{-10}$$ 7.4 × 10 - 10 , which can remedy the deviation between SM prediction and experimental data to some extent.

Section: Discussionmentioning

confidence: 93%

Section: The Two-loop Correctionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The two-loop contributions to muon MDM in $$U(1)_X$$ SSM

Dong

et al. 2021

Eur. Phys. J. C

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“…To find new physics beyond the SM, research the MDMs [18][19][20][21][22] and EDMs [23][24][25] of leptons are the effective ways. There are some works for the supersymmetric (SUSY) one-loop contributions to muon MDM, and in some parameter space [26][27][28] the numerical results can be large.…”

Section: Jhep11(2014)119mentioning

confidence: 99%

The corrections from one loop and two-loop Barr-Zee type diagrams to muon MDM in BLMSSM

Feng

Zhang

et al. 2014

J. High Energ. Phys.

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In a supersymmetric extension of the standard model where baryon and lepton numbers are local gauge symmetries(BLMSSM) and the Yukawa couplings between Higgs doublets and exotic quarks are considered, we study the one loop diagrams and the two-loop Barr-Zee type diagrams with a closed Fermi(scalar) loop between the vector Boson and Higgs. Using the effective Lagrangian method, we deduce the Wilson coefficients of dimension 6 operators contributing to the anomalous magnetic moment of muon, which satisfies the electromagnetic gauge invariance. In the numerical analysis, we consider the experiment constraints from Higgs and neutrino data. In some parameter space, the new physics contribution is large and even reaches 24 × 10 −10 , which can remedy the deviation well.

Study muon g − 2 at two-loop level in the U(1)XSSM

Dong

et al. 2022

J. High Energ. Phys.

The new experiment data of muon g − 2 is reported by the workers at Fermilab National Accelerator Laboratory (FNAL). Combined with the previous Brookhaven National Laboratory (BNL) E821 result, the departure from the standard model prediction is about 4.2σ. It strengthens our faith in the new physics. U(1)XSSM is the U(1) extension of the minimal supersymmetric standard model, where we study the electroweak corrections to the anomalous magnetic dipole moment of muon from the one-loop diagrams and some two-loop diagrams possessing important contributions. These two-loop diagrams include Barr-Zee type, rainbow type and diamond type. The virtual supersymmetric particles in these two-loop diagrams are chargino, scalar neutrino, neutralino, scalar lepton, which are supposed not very heavy to make relatively large corrections. We obtain the Wilson coefficients of the dimension 6 operators inducing the anomalous magnetic dipole moment of muon. The numerical results can reach 25 × 10−10 and even larger.