Physics Letters B 761 (2016) 253–260
Contents lists available at ScienceDirect
Physics Letters B
www.elsevier.com/locate/physletb
The SSM with Suppressed SUSY Charge
John A. Dixon
CAP, Edmonton, AB, Canada
a r t i c l e i n f o a b s t r a c t
Article history:
Received
19 May 2016
Received
in revised form 19 July 2016
Accepted
22 July 2016
Available
online 23 August 2016
Editor:
M. Cveti
ˇ
c
The concept of Suppressed SUSY Charge, introduced in a recent Letter, is used here to assemble a new
version of the SSM. This new SSM has no need for Squarks or Sleptons. It does not need spontaneous
breaking of SUSY, so that the cosmological constant problem does not arise (at least at tree level).
It mimics the usual non-supersymmetric Standard Model very well, and the absence of large flavour
changing neutral currents is natural. There is no need for a hidden sector, or a messenger sector, or
explicit ‘soft’ breaking of SUSY. Spontaneous Gauge Symmetry Breaking from SU(3) × SU(2) × U (1) to
SU(3) × U (1) in the model assembled here implies the existence of two new very heavy Higgs Bosons
with mass 13.4 TeV, slightly smaller than the energy of the LHC at 14 TeV. There is also a curious set
of Gauginos and Higgsinos which have exactly the same masses as the Higgs and Gauge Bosons. These
do not couple to the Quarks and Leptons, except through the Higgs and Gauge Bosons. As it stands, this
model probably gives rise to too many W
+
decays to be consistent with experiment. The Feynman loop
expansion of this theory also needs further examination.
© 2016 The Author(s). 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
This is the second of two papers on the topic of Chiral SUSY
Theories with a Suppressed SUSY Charge. The first paper was [1],
and the results of [1] are often referred to and used here.
The
Minimal Supersymmetric Standard Model (‘MSSM’) has
been defined as the minimal Model based on SUSY such that it
contains the smallest number of new particle states and new inter-
actions
consistent with phenomenology. The ‘working hypothesis’
here [2–4] is usually that all Multiplets are either Chiral or Gauge
Multiplets [5–10], and that there is spontaneous breaking of SUSY,
with some unspecified, and presently undetected, ‘hidden’ SUSY
Action. That breaking is then manifested in the ‘visible’ MSSM by
explicit ‘soft’ (usually massive) SUSY breaking terms added to the
Action [2,3,10]. The form of this breaking is assumed to be com-
municated
from the hidden sector to the visible sector by a mes-
senger
sector, and several different messenger ideas are currently
used. This Model has approximately 124 parameters, far more than
the number that were needed in the Standard Model. The main
reason for the invention of the hidden sector, and the messenger
sector, and the large number of parameters, is that spontaneous
breaking of SUSY implies sum rules for the masses after sponta-
neous
SUSY breaking in the theory, and these are very hard to
reconcile with experimental results, if they occur in the visible sec-
E-mail address: jadixg@gmail.com.
tor [10]. Another serious problem for this kind of SSM is that the
spontaneous breaking of SUSY necessarily entails a fine tuning of
the cosmological constant to one part in 10
120
, or other related
problems, when Supergravity is coupled [11,12], or a huge vacuum
energy for the rigid theory before Supergravity is coupled.
The
present paper will use a very different ‘working hypothesis’
to construct a very different kind of SSM. The working hypothe-
sis
here is that we can replace any of the Chiral Multiplets in a
starting Action with the new kinds of Multiplets that arise from
the Chiral Multiplets using the methods outlined in [1]. For each
Chiral Multiplet, there is a choice of three different new Multi-
plets.
Two of these are Half-Chiral Multiplets and there is a third
Un-Chiral Multiplet. In effect what happens is that we introduce
certain Exchange Transformations that remove a selected set of the
original Scalar Fields from the Action and replace them with Zinn
Sources, while also replacing some of the original Zinn Sources
with Antighost Fields. The details of this are set out in [1]. As ex-
plained
in [1], the new Master Equation still yields zero for the
One Particle Irreducible Vertex Functionals of the theory after this
change, so supersymmetry is still present, though its consequences
are changed in a major way, and in fact the Supercharge is gone
from the modified parts.
In
this paper we use the Exchange Transformations to remove
all the Squarks and Sleptons from the SSM, and also to remove half
of the Scalar Fields in the three Higgs Multiplets that we start with
here. This means that the necessary parameters for the Model here
http://dx.doi.org/10.1016/j.physletb.2016.07.059
0370-2693/
© 2016 The Author(s). 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
.
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