Physics Letters B 759 (2016) 322–327
Contents lists available at ScienceDirect
Physics Letters B
www.elsevier.com/locate/physletb
Realizing the supersymmetric inverse seesaw model in the framework
of R-parity violation
C.A. de S. Pires
∗
, J.G. Rodrigues, P.S. Rodrigues da Silva
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, PB, Brazil
a r t i c l e i n f o a b s t r a c t
Article history:
Received
13 April 2016
Received
in revised form 24 May 2016
Accepted
30 May 2016
Available
online 2 June 2016
Editor: G.F.
Giudice
If, on one hand, the inverse seesaw is the paradigm of TeV scale seesaw mechanism, on the other it is
a challenge to find scenarios capable of realizing it. In this work we propose a scenario, based on the
framework of R-parity violation, that realizes minimally the supersymmetric inverse seesaw mechanism.
In it the energy scale parameters involved in the mechanism are recognized as the vacuum expectation
values of the scalars that compose the singlet superfields
ˆ
N
C
and
ˆ
S. We develop also the scalar sector
of the model and show that the Higgs mass receives a new tree-level contribution that, when combined
with the standard contribution plus loop correction, is capable of attaining 125 GeV without resort to
heavy stops.
© 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP
3
.
1. Introduction
A current exciting challenge in particle physics is the explana-
tion
of the smallness of the neutrino masses through new physics
at TeV scale. In this regard, the inverse seesaw mechanism (ISS) [1]
became
the paradigm of successful TeV scale seesaw mechanism.
Its minimal implementation requires the introduction to the elec-
troweak
standard model (SM) of two sets of three neutral fermion
singlets, N = (N
1
, N
2
, N
3
) and S = (S
1
, S
2
, S
3
), composing the
following mass terms in the flavor basis,
L
mass
⊃
¯
νM
D
N +
¯
NM
N
S +
1
2
¯
S
C
μ
N
S +h.c., (1)
where ν = (ν
1
, ν
2
, ν
3
) is the set of standard neutrinos. In the ba-
sis
(ν , N
C
, S) the neutrino mass may be put in the following 9 ×9
matrix
form,
M
ν
=
⎛
⎝
0 M
D
0
M
T
D
0 M
N
0 M
T
N
μ
N
⎞
⎠
.
(2)
In the regime μ
N
<< M
D
< M
N
, the mechanism provides m
ν
=
M
T
D
M
−1
N
μ
N
(M
T
N
)
−1
M
D
for the mass matrix of the standard neutri-
nos.
Taking M
D
at electroweak scale, M
N
at TeV and μ
N
at keV
scale, the mechanism provides standard neutrinos at eV scale. The
*
Corresponding author.
E-mail
address: cpires@fisica.ufpb.br (C.A. de S. Pires).
new set of fermion singlets (N , S) develop mass at M
N
scale and
may be probed at the LHC.
The
challenge concerning the ISS mechanism is to find scenar-
ios
that realize it. This means to propose models that generate the
mass terms in Eq. (1). In this regard, as the ISS mechanism works
in the TeV scale, it seems to be natural to look for realization of
the ISS mechanism in the framework of theories that we expect
will manifest at TeV scale [2,3], which is the case of supersymme-
try
(SUSY). Thus it seems to be interesting to look for scenarios
that realize the ISS mechanism in the context of SUSY [4–6].
We
know already that a natural way of obtaining small neu-
trino
mass in the context of the MSSM is to consider that R-parity,
R ≡ (−1)
2S+3(B−L)
, is violated through bilinear terms like μ
i
ˆ
L
i
ˆ
H
u
in the superpotential [7]. Thus we wonder if R-parity violation
(RPV) is an interesting framework for the realization of the SUSYISS
mechanism. For this, we implement the SUSYISS mechanism in a
framework where R-parity and lepton number are violated explic-
itly
but baryon number is conserved in a way that we call the
minimal realization of the SUSYISS mechanism once the neces-
sary
set of superfields required to realize it is the original one,
ˆ
N
C
i
and
ˆ
S
i
, only.
Moreover,
it has been extensively discussed that the minimal
supersymmetric standard model (MSSM) faces difficulties in ac-
commodating
a Higgs of mass of 125 GeV, as discovered by ATLAS
and CMS [8] while keeping the principle of naturalness [9]. This is
so because, at tree level, the MSSM predicts a Higgs with a mass
whose value cannot exceed 91 GeV. Thus robust loop corrections
are necessary in order to lift this value to 125 GeV. Consequently
http://dx.doi.org/10.1016/j.physletb.2016.05.089
0370-2693/
© 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by
SCOAP
3
.