Physics Letters B 771 (2017) 162–167
Contents lists available at ScienceDirect
Physics Letters B
www.elsevier.com/locate/physletb
Constraining dark photon model with dark matter from CMB spectral
distortions
Ki-Young Choi
a
, Kenji Kadota
b
, Inwoo Park
c,b,∗
a
Institute for Universe and Elementary Particles and Department of Physics, Chonnam National University, 77 Yongbong-ro, Buk-gu, Gwangju, 61186,
Republic of Korea
b
Center for Theoretical Physics of the Universe, Institute for Basic Science (IBS), Daejeon, 34051, Republic of Korea
c
Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon, 34141, Republic of Korea
a r t i c l e i n f o a b s t r a c t
Article history:
Received
16 January 2017
Received
in revised form 24 April 2017
Accepted
24 April 2017
Available
online 19 May 2017
Editor:
M. Trodden
Keywords:
Dark
matter
Dark
photon
CMB
distortion
Many extensions of Standard Model (SM) include a dark sector which can interact with the SM sector via
a light mediator. We explore the possibilities to probe such a dark sector by studying the distortion of
the CMB spectrum from the blackbody shape due to the elastic scatterings between the dark matter
and baryons through a hidden light mediator. We in particular focus on the model where the dark
sector gauge boson kinetically mixes with the SM and present the future experimental prospect for a
PIXIE-like experiment along with its comparison to the existing bounds from complementary terrestrial
experiments.
© 2017 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 energy spectrum of the cosmic microwave background
(CMB) follows the most perfect blackbody spectrum ever observed.
There yet can exist a minuscule deviation from the blackbody
when the CMB photons are not in a perfect equilibrium. The
number-changing interactions such as Bremsstrahlung and double
Compton scatterings are not efficient enough for the redshift z
2 ×10
6
and the energy injection/extraction can result in the Bose–
Einstein
distribution with a non-vanishing μ parameter (rather
than the blackbody distribution with μ = 0) [1]. For z 5 × 10
4
,
even the kinetic equilibrium cannot be maintained due to the in-
efficient
Compton scatterings and the spectrum distortion can be
characterized by the Compton y-parameter which is given by the
line of sight integral of electron pressure [2].
The
attempt to measure potential CMB spectral distortion has
been made by the Far Infrared Absolute Spectrophotometer (FI-
RAS)
instrument aboard the COBE satellite [3] two decades ago,
leading to the upper bounds |μ| 10
−4
and |y| 10
−5
. The next
*
Corresponding author at: Department of Physics, Korea Advanced Institute of
Science and Technology, Daejeon, 34141, Republic of Korea.
E-mail
addresses: kiyoungchoi@jnu.ac.kr (K.-Y. Choi), kadota@ibs.re.kr
(K. Kadota),
inwpark@kaist.ac.kr (I. Park).
generation space-telescope PIXIE [4] is expected to improve the
sensitivity to |μ| ∼5 ×10
−8
and |y| ∼ 10
−8
.
The
CMB spectral distortion can, for instance, be induced by the
energy injection into the background plasma in many non-standard
cosmological scenarios [5]. The examples include the energy re-
lease
from decaying heavy relics [6,7], evaporating primordial black
holes [8], the annihilating dark matter (DM) [9,10] and the dissi-
pation
of acoustic waves [11–13].
Even
in the standard cosmology, however, the CMB distortion
can occur due to the energy transfer between the photons and the
“baryons” (protons and electrons) [5,14,15]. The Coulomb interac-
tions
of non-relativistic plasma consisting of baryons with photons
can extract energy from the CMB and maintain the kinetic equi-
librium.
The temperature of baryons follows that of photons and
decreases inversely proportional to the scale factor of the Universe,
T
b
T
γ
∼ 1/a, instead of 1/a
2
for the decoupled non-relativistic
matter. This extraction of energy from the CMB results in the
μ-distortion of the order of μ −3 ×10
−9
.
The
analogous effects can be induced when the DM is ther-
mally
coupled to the photon-baryon plasma by the elastic scatter-
ings,
and such effects on the CMB spectral distortions were first
discussed in [16] and elaborated on in [17]. The additional en-
ergy
extraction from CMB into DM enhances the spectral distortion
of CMB with a negative μ. Since the DM number density is in-
versely
proportional to its mass, for a given DM mass density, the
FIRAS can constrain the DM mass up to m
χ
∼ 0.1GeV and a fu-
http://dx.doi.org/10.1016/j.physletb.2017.04.062
0370-2693/
© 2017 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
.