Abstract
In the supersymmetric model with local gauged baryon and lepton numbers (BLMSSM), the CP violating effects are considered to study the lepton electric dipole moment (EDM). The CP violating phases in BLMSSM are more than those in the standard model (SM) and can give large contributions. The analysis of the EDMs for the leptons e, μ, τ is shown in this work. It is in favour of exploring the source of CP violation and probing the physics beyond SM.
Highlights
The BLMSSMThe local gauge group of BLMSSM [13, 14] is SU(3)C ⊗ SU(2)L ⊗ U(1)Y ⊗ U(1)B ⊗ U(1)L, where the exotic leptons are introduced to cancel L anomaly
Research the MDMs [20,21,22] and electric dipole moment (EDM) [23,24,25,26,27,28] of leptons are the effective ways to probe new physics beyond the standard model (SM)
From the figures 1, 2, 3, 4, one can find the upper bound of electron EDM is strict and has rigorous bound on the parameter space
Summary
The local gauge group of BLMSSM [13, 14] is SU(3)C ⊗ SU(2)L ⊗ U(1)Y ⊗ U(1)B ⊗ U(1)L, where the exotic leptons are introduced to cancel L anomaly. Though in BLMSSM there are six sleptons, their mass squared matrix is different from that in MSSM, because of the contributions from eqs. Using the formula eq (2), the second term λNcNcNcφL in WL(n) can give important contributions to large sneutrino masses through nonzero VEV of Higgs superfield φL. This type correction is at the order of λ∗NcλNcvL2. The mass squared matrix of the sneutrino is obtained from the superpotential and the soft breaking terms from eqs. From the interactions of gauge and matter multiplets ig√2Tiaj (λaψjA∗i λa ψi Aj ), the lepton-slepton-lepton neutralino couplings are deduced here This type couplings give new contributions beyond MSSM to lepton EDM. We take vL and vL as real parameters to simplify the numerical discussion
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