Abstract
We show that judiciously chosen R-parity violating terms in the minimal renormalizable supersymmetric SU(5) are able to correct all the phenomenologically wrong mass relations between down quarks and charged leptons. The model can accommodate neutrino masses as well. One of the most striking consequences is a large mixing between the electron and the Higgsino. We show that this can still be in accord with data in some regions of the parameter space and possibly falsified in future experiments.
Highlights
The discrepancies are of order one, and so cannot be accounted for without changing the theory, for example its physical content
We show that judiciously chosen R-parity violating terms in the minimal renormalizable supersymmetric SU(5) are able to correct all the phenomenologically wrong mass relations between down quarks and charged leptons
We neglect the contribution of susy threshold corrections and investigate whether the fermion mass ratio problem can be fixed by R-parity violating (RPV) [14] couplings in the SU(5) model
Summary
With M24 denoting the superpotential parameter defined in eq (2.3), M(1,3)0 = −5M24 and M(1,1)0 = −M24 It is clear from (2.13) that in the flavour basis Hd0 is the fermionic superpartner of Hd0 that gets the vev in (2.12). The whole Lagrangian, or even this part of it at higher loops, is not RPC due to nonzero trilinear terms, but in the basis we use, νi = 0, these trilinear terms do not appear in the mass matrices at the tree order At this point, we are still free to rotate in the 3 × 3 subspace and we use this freedom to diagonalize the sub-matrix matrix. Eqs. (2.7)–(2.8) get rotated as well, but we will not keep track of it
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