Physics Letters B 799 (2019) 135038
Contents lists available at ScienceDirect
Physics Letters B
www.elsevier.com/locate/physletb
The heavy gluino in natural no-scale F -SU(5)
Thomas Ford
a
, Tianjun Li
b,c
, James A. Maxin
a,∗
, Dimitri V. Nanopoulos
d,e,f
a
Department of Chemistry and Physics, Louisiana State University, Shreveport, LA 71115 USA
b
CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, PR China
c
School of Physical Sciences, University of Chinese Academy of Sciences, No. 19A Yuquan Road, Beijing 100049, PR China
d
George P. and Cynthia W. Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, TX 77843, USA
e
Astroparticle Physics Group, Houston Advanced Research Center (HARC), Mitchell Campus, Woodlands, TX 77381, USA
f
Academy of Athens, Division of Natural Sciences, 28 Panepistimiou Avenue, Athens 10679, Greece
a r t i c l e i n f o a b s t r a c t
Article history:
Received
20 August 2019
Accepted
16 October 2019
Available
online 22 October 2019
Editor:
M. Cveti
ˇ
c
In light of recent 80–137 fb
−1
results at the LHC Run 2 establishing a lower gluino mass limit of
2.25 TeV, we revisit the supersymmetric GUT model Flipped SU(5) with extra vector-like particles,
known as F -SU(5), with vanishing No-Scale Supergravity boundary conditions at the string scale of
about 2 × 10
17
GeV, including the supersymmetry breaking B
μ
parameter which is strictly enforced as
B
μ
= 0. Given the proportional dependence of all model scales on a single parameter M
1/2
, No-Scale
F -SU(5) was shown to possess no electroweak fine-tuning and thus persists as a natural one-parameter
model. In this fresh analysis here, we demand consistency with the measured 125 GeV light Higgs
boson mass, though we forgo an upper limit on the lightest neutralino relic density. The resulting
phenomenology delivers a gluino mass of M(
g) 7.5TeV and a lightest supersymmetric particle (LSP)
of M(
χ
0
1
) 1.6 TeV. In order to dilute the relic density down to the WMAP and Planck measurements,
we rely upon a single cosmological master coupling λ
6
.
© 2019 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
The ATLAS and CMS Collaborations recently released the
80–137 fb
−1
results at the LHC Run 2 recorded from 2017–18,
highlighted by no significant deviation beyond the expected Stan-
dard
Model background [1]. The dearth of any positive signal of
supersymmetry (SUSY) has elevated the lower bound on the gluino
mass to 2.25 TeV with regards to the ATLAS and CMS
g →t
¯
t +
χ
0
1
simplified model scenarios [2,3]. The advancement of gluino limits
above 2TeV further strains the SUSY model space, providing impe-
tus
for phenomenologists to build SUSY models supporting a heavy
gluino, yet remain consistent with the measured light Higgs boson
mass of M
h
= 125.1 ± 0.14 GeV [4–6] and the WMAP 9-year [7]
plus
2018 Planck [8]observed relic density on the dark matter
content in our universe of
DM
h
2
0.12, in addition to satisfy-
ing
the world average top quark mass of M
t
= 173.1 ±0.9GeV[6].
In this current age of multi-TeV gluino exclusion limits, the inter-
section
of all these empirically validated quantities becomes ever
more increasingly difficult. Despite the aforementioned hurdles, we
shall present here an intriguing case for a natural SUSY model with
*
Corresponding author.
E-mail
address: james.maxin@lsus.edu (J.A. Maxin).
no electroweak fine-tuning that does indeed meet the experimen-
tal
requirements just noted and can also generate a heavy gluino
that would not as yet been produced at the LHC Run 2 in sufficient
quantities for detection.
The
SUSY Grand Unification Theory (GUT) model Flipped
SU(5) [9–11]with additional vector-like multiplets [12](referred
to as flippons [13]), better known as F-SU(5) [14,15], was shown
to possess no electroweak fine-tuning within the construct of
vanishing No-Scale Supergravity boundary conditions at the uni-
fication
scale [16]. The proportional dependence of all SUSY model
parameters as well as the electroweak scale Z-boson mass M
Z
and top quark mass M
t
upon a single unified model variable
M
1/2
established No-Scale F -SU(5) as a genuine one-parameter
model [17]. This overall rescaling at the leading order in terms
of the mass scale M
1/2
is analogous to the fixing of the Bohr
atomic radius in terms of the physical electron mass and charge, by
minimization of the electron energy [18]. In both these instances,
the spectrum scales corresponding to fluctuation in the selected
constants, whereas the relative internal structure of the model
is left intact. The single parameter nature of No-Scale F -SU(5)
was shown to lead to the rare and highly desirable attribute of
no electroweak fine-tuning and thus a rather natural SUSY GUT
model [16]. Moreover, No-Scale F -SU(5) was shown to be consis-
https://doi.org/10.1016/j.physletb.2019.135038
0370-2693/
© 2019 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
.