A simple phenomenological parametrization of supersymmetry without R-parity

Abstract

We present a parametrization of the supersymmetric standard model without R-parity that permits efficient phenomenological analyses of the full model without a priori assumptions. Under the parametrization, which is characterized by a single vacuum expectation value for the scalar components of the Y = −1/2 superfields, the expressions for tree-level mass matrices are quite simple. They do not involve the trilinear R-parity violating couplings; however, the bilinear µ i terms do enter and cannot be set to zero without additional assumptions. We set up a framework for doing phenomenology and show some illustrative results for fermion mass matrices and related bounds on parameters. We find in particular that large values of tanβ can suppress R-parity violating effects, substantially weakening experimental constraints.

A supersymmetric extension of the standard model with bilinear R-parity violation

“…Considering experimental data, one cannot rule out large ǫ I (I=1, 2, 3) [21,29]. Further more, even if ǫ I ≪ µ, we still have no reason to assume B I ǫ I ≪ Bµ in general case.…”

Unification of gauge couplings and the tau-neutrino mass in supergravity without R parity

“…In order to illustrate the essential features of the model, it is enough to consider a one generation R /-MSSM [6,8,9,10], since it contains the main ingredients relevant for our present discussion. The superpotential W is…”

“…where M 2 L i are the soft mass terms and mixing for the down type Higgs and slepton fields, The equality of the quantum numbers of the down-type Higgs and tau lepton SU(2) ⊗ U(1) superfields opens the possibility to work in different basis [9,23,24,25]. This field redefinition is defined by…”

“…In addition to the standard MSUGRA we consider simplest supergravity version with a bi-linear breaking of R parity [6,7,8,9,10]. This model is theoretically motivated by the fact that it provides parametrization of many of the features of a class of models in which R-parity breaks spontaneously due to a sneutrino vacuum expectation value (vev) [11].…”

Basis independent study of supersymmetry withoutRparity and the tau neutrino mass

“…The one generation model is a useful toy model which has been used on various occasions [11][12][13][14][15][16][17][18]31] to explore R-parity violating effects since it contains the main ingredients of the complete model with three generations. The superpotential, W , of the model appears as: …”