Physics Letters B 771 (2017) 206–212
Contents lists available at ScienceDirect
Physics Letters B
www.elsevier.com/locate/physletb
Left–right model with TeV fermionic dark matter and unification
Triparno Bandyopadhyay
∗
, Amitava Raychaudhuri
Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700009, India
a r t i c l e i n f o a b s t r a c t
Article history:
Received
2 April 2017
Received
in revised form 12 May 2017
Accepted
15 May 2017
Available
online 19 May 2017
Editor:
A. Ringwald
The ingredients for a model with a TeV right-handed scale, gauge coupling unification, and suitable
dark matter candidates lie at the heart of left–right symmetry with broken D-parity. After detailing
the contents of such a model, with SU(2)
R
self-conjugate fermions at the right-handed scale aiding
in unification of couplings, we explore its dark matter implications and collider signatures.
© 2017 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
These are indeed exciting times for particle physics as the Large
Hadron Collider (LHC) at CERN is all set to run at its machine
configuration of
√
s = 14 TeV. With experiments at this highest
energy facility in a hunt for new physics at TeV scales, it is no sur-
prise
that the community is particularly focussed on models with
phenomenological signatures in the O(TeV) range. Of the various
models that try to explain natural phenomena beyond the scope
of the standard model (SM), those based on left–right (LR) sym-
metry
[1–4] have withstood the tests of time as they extend the
SM electroweak sector in well motivated ways. These models ex-
plain
the origin of parity violation and at the same time gauge the
global U(1)
(B−L)
symmetry inherent in SM and in the process ex-
plain
the smallness of the neutrino mass.
Hypothesised primarily in the context of visible sector physics,
LR models do not have any de facto dark matter (DM) candidate
built into their bare bones structure. However, the group theoretic
configuration of LR symmetry has the provision of a naturally aris-
ing
discrete symmetry, remnant after the spontaneous breaking of
U (1)
(B−L)
[5–10], which facilitates the building of a plethora of DM
models [11–16].
The
LR gauge symmetry and particle content, along with gauge
coupling unification (GCU), can be embedded in SO(10) “grand
unified theories” (GUTs) [17,18] having numerous desired features
such as quark–lepton unification, unification of the SM interac-
tions,
and explanation of the arbitrary U(1)
Y
assignment of the
SM, among others. However, in models with the left–right symme-
try
breaking scale M
R
∼ O(TeV), and a minimal scalar sector, GCU
*
Corresponding author.
E-mail
addresses: gondogolegogol@gmail.com (T. Bandyopadhyay),
palitprof@gmail.com (A. Raychaudhuri).
is impossible [19–24]. To achieve unification one either needs to
add scalar multiplets redundant to their primary function of sym-
metry
breaking and mass generation, or larger symmetries inter-
mediate
between the Left–Right symmetry (LRS) and GUT scales.
These modifications end up introducing additional scalar fine tun-
ings
and a degree of arbitrariness.
In
this letter, we show that the three requirements of O(TeV)
right-handed breaking scale, unification of LRS couplings, and the
presence of a suitable dark matter candidate can be achieved with
a single stroke by the careful appraisal of fermion masses in a
class of left–right models where the exact L ↔ R symmetry is
spontaneously broken at a scale different from the one where the
right-handed gauge symmetry is broken [25,26]. While focussing
on model mechanics, we discuss dark matter phenomenology and
show that though its direct detection prospects are not bright, the
collider signatures of the model are testable.
2. Model
The left–right symmetry is defined by the gauge group,
SU
(3)
C
× SU(2)
L
× SU(2)
R
× U (1)
(B−L)
, and a discrete SU(2)
L
↔
SU(2)
R
symmetry, P. Under this, the SM quarks, leptons, and a
right-handed (RH) neutrino of one family transform as:
l
L
≡ (1
C
, 2
L
, 1
R
, −1
(B−L)
); l
R
≡ (1
C
, 1
L
, 2
R
, −1
(B−L)
);
q
L
≡ (3
C
, 2
L
, 1
R
, 1/3
(B−L)
); q
R
≡ (3
C
, 1
L
, 2
R
, 1/3
(B−L)
) ; (1)
with (B − L) being normalised by the relation:
Q
em
= T
3R
+ T
3L
+
B − L
2
. (2)
The scalar sector is given by:
≡ (1
C
, 2
L
, 2
R
, 0
(B−L)
); η ≡ (1
C
, 1
L
, 1
R
, 0
(B−L)
);
R
≡ (1
C
, 1
L
, 3
R
, 2
(B−L)
);
L
≡ (1
C
, 3
L
, 1
R
, 2
(B−L)
). (3)
http://dx.doi.org/10.1016/j.physletb.2017.05.042
0370-2693/
© 2017 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
.