PHYS08200604017 Manimala Mitra - Homi Bhabha National Institute

neutralino-neutrinomassmatrixandinsection4. 5wediscussthechargino-chargedlepton
mass matrix. We concentrate on the neutrino phenomenology in section 4.6 and discuss
the possibility of getting correct mass splittings and mixings even with one generation
of SU(2) L
triplet matter chiral supermultiplet. In section 4.7 we discuss about detecting
our model in colliders and finally in section 4.8 we present our conclusion. Discussion
on soft-supersymmetry breaking terms, gaugino-lepton-slepton mixing and the analytic
expression of the low energy neutrino mass matrix have been presented in Appendix
A, Appendix B and in Appendix C, respectively. In Appendix C we also analyze the
constraintsonthedifferent sneutrinovacuumexpectationvaluescomingfromtheneutrino
mass scale.
4.2 The Model
In this section, we discuss about our model. The superpotential of the supersymmetric
standard model has given in Eq. (4.1) and in Eq. (4.2). In this work we will explore
spontaneous R-parity violation in the presence of SU(2) L
triplet Y = 0 matter chiral
superfield. The matter chiral supermultiplets of the model are:
ˆQ =
(ÛˆD)
, ˆL =
(
ˆνÊ)
, Û c , ˆDc and Êc
and the Higgs chiral supermultiplets are :
(Ĥ+ ) ( )
Ĥ u = u Ĥ0
Ĥu
0 , Ĥ d = d
Ĥ − .
d
Inadditiontothestandardsupermultiplet contents oftheMSSMweintroduceoneSU(2) L
triplet matter chiral supermultiplet ˆΣ c R with U(1) Y hypercharge Y = 0. We represent ˆΣ c R
as
ˆΣ c R = √ 1 (
√ ˆΣ0c R
2 2ˆΣ+c
R
√ 2ˆΣ−c R
−ˆΣ 0c
R
The three different chiral superfields in this multiplet are
ˆΣ +c
R
+c
= ˜Σ
R +√ 2θΣ +c
R +θθF Σ +c
)
. (4.3)
R
, (4.4)
ˆΣ −c
R
−c
= ˜Σ
R +√ 2θΣ −c
R +θθF Σ −c
R
, (4.5)
ˆΣ 0c
R
= ˜Σ
0c
R +√ 2θΣ 0c
R +θθF Σ 0c
R . (4.6)
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