Eur. Phys. J. C 22, 727-741 (2002)
https://doi.org/10.1007/s100520100841

Leptonic dipole moments in the left-right supersymmetric model

Department of Physics, Concordia University, 1455 De Maisonneuve Blvd. W. Montreal, Quebec, H3G 1M8 Canada

Received: 6 September 2001
Revised: 30 October 2001
Published online: 7 December 2001

Abstract

The observation of neutrino oscillations imposes a pattern of mixing in both the sneutrino and charged slepton sectors. On the other hand, the apparent 2.6σ deviation of the anomalous magnetic moment of the muon from the standard model value favors a scenario beyond the standard model. We show that, in a supersymmetric model with left-right symmetry, which provides an explanation for both phenomena, the relationship between flavor conserving dipole moments, such as the magnetic and the electric dipole moments, and flavor violating dipole moments, such as μ → e γ, τ → μ γ and τ → e γ, is quite different from that in the MSSM. From general analytic considerations, we derive bounds on the fractional sneutrino mass splittings δ²_{νe νμ}/m²_ν ≤ 1.5 × 10^-5, and the fractional charged slepton splittings δ²_eμ/m_l² ≤ 2 × 10^-2. For μ - τ, the mixing is allowed to be maximal. We also comment on the magnitudes and correlations between CP-violating angles coming from electric dipole moments. We supplement the analytical considerations by detailed numerical calculations.