Abstract
The nonzero vacuum expectative values of sneutrinos induce spontaneously R-parity and lepton number violation, and generate three tiny Majorana neutrino masses through the seesaw mechanism in the $\mu\nu$SSM, which is one of Supersymmetric extensions beyond Standard Model. Applying effective Lagrangian method, we study the transition magnetic moment of Majorana neutrinos in the model here. Under the constraints from neutrino oscillations, we consider the two possibilities on the neutrino mass spectrum with normal or inverted ordering.
Highlights
Μ problem [14] of the Minimal Supersymmetric Standard Model (MSSM) [15,16,17,18,19] had been solved in the μνSSM, through the R-parity breaking couplings λiνicHdaHub in the superpotential
], Fμν is the electromagnetic field strength, ψi,j denote the fourcomponent Dirac fermions which are on-shell, μij and ij are Dirac diagonal (i = j) or transition (i = j) magnetic dipole moment (MDM) and electric dipole moment (EDM) between states ψi and ψj, respectively. It convenient to get the contributions from loop diagrams to fermion diagonal or transition MDM and EDM in terms of the effective Lagrangian method, if the masses mV of internal lines are much heavier than the external fermion mass mf
In the oscillation of supernova neutrinos, Majorana neutrino transition magnetic moments reveal that moments as small as 10−24μB may leave a potentially observable imprint on the energy spectra of neutrinos and antineutrinos from supernovae [47,48,49]
Summary
Besides the superfields of the MSSM, the μνSSM introduces three singlet right-handed neutrino superfields νic (i = 1, 2, 3). The last term generates the effective Majorana masses for neutrinos at the electroweak scale. In the framework of supergravity mediated supersymmetry breaking, the general soft SUSY-breaking terms in the μνSSM are given as. Once the electroweak symmetry is spontaneously broken, the neutral scalars develop in general the following VEVs: Hd0 = υd , Hu0 = υu , νi = υνi , νic = υνic. The charged scalar mass matrix MS2± contains massless unphysical Goldstone bosons G±, which can be written as [29,30,31]. Via the seesaw mechanism [6], the effective light neutrino mass matrix is in general given as meff = −m.M −1.mT ,. Diagonalized the effective neutrino mass matrix meff , we can obtain three light neutrino masses
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