Physics Letters B 773 (2017) 448–454
Contents lists available at ScienceDirect
Physics Letters B
www.elsevier.com/locate/physletb
A dark matter model that reconciles tensions between the cosmic-ray
e
±
excess and the gamma-ray and CMB constraints
Qian-Fei Xiang
a,b
, Xiao-Jun Bi
a
, Su-Jie Lin
a
, Peng-Fei Yin
a
a
Key Laboratory of Particle Astrophysics, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
b
School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
a r t i c l e i n f o a b s t r a c t
Article history:
Received
7 August 2017
Received
in revised form 31 August 2017
Accepted
1 September 2017
Available
online 8 September 2017
Editor:
J. Hisano
The cosmic-ray (CR) e
±
excess observed by AMS-02 can be explained by dark matter (DM) annihilation.
However, the DM explanation requires a large annihilation cross section which is strongly disfavored
by other observations, such as the Fermi-LAT gamma-ray observation of dwarf galaxies and the Planck
observation of the cosmic microwave background (CMB). Moreover, the DM annihilation cross section
required by the CR e
±
excess is also too large to generate the correct DM relic density with thermal
production. In this work we use the Breit–Wigner mechanism with a velocity dependent DM annihilation
cross section to reconcile these tensions. If DM particles accounting for the CR e
±
excess with v ∼
O(10
−3
) are very close to a resonance in the physical pole case, their annihilation cross section in the
Galaxy reaches a maximal value. On the other hand, the annihilation cross section would be suppressed
for DM particles with smaller relative velocities in dwarf galaxies and at recombination, which may
affect the gamma-ray and CMB observations, respectively. We find a proper parameter region that can
simultaneously explain the AMS-02 results and the thermal relic density, while satisfying the Fermi-LAT
and Planck constraints.
© 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
Astrophysics and cosmology observations reveal that the dom-
inant
matter component in the universe is dark matter (DM), but
the particle nature of DM remains unknown [1,2]. The existence
of DM cannot be explained within the framework of the standard
model (SM), and thus provides a hint of the physics beyond the
SM. Great efforts have been devoted to DM researches, including
collider detection, direct detection, and indirect detection experi-
ments.
DM
particles can be traced by cosmic ray (CR) experiments
through their annihilation products from the Galaxy halo. The Al-
pha
Magnetic Spectrometer (AMS-02), launched in 2011, is able
to measure CR spectra with an unprecedented precision [3]. The
precise results released by AMS-02 have confirmed the CR e
±
ex-
cess
above ∼ 10 GeV, which indicates the existence of exotic e
±
sources. Many astrophysical explanations have been proposed for
this excess, such as primary sources like pulsars [4–6], or the CR
interactions occurring around CR acceleration sources [7–10]. Inter-
E-mail address: yinpf@ihep.ac.cn (P.-F. Yin).
estingly, this excess can also be explained by DM annihilations/de-
cays
to charged leptons [11–17].
On
the other hand, DM particles would also generate high en-
ergy
photons associated with charged leptons. The related gamma-
ray
signatures can be significant in systems with high DM densities
and low baryon densities, such as dwarf galaxies. However, the
Fermi-LAT observations do not find such signatures, and set strong
constraints on the DM annihilation cross section [18–20]. Since the
large annihilation cross section required by the CR e
±
excess seems
not to be allowed by the Fermi-LAT constraints [17], the DM anni-
hilation
explanation is strongly disfavored.
Moreover,
the electromagnetically interacting particles gener-
ated
by DM annihilations at recombination could affect cosmic
microwave background (CMB) [21–27]. Precise measurements per-
formed
by WMAP [1] and recently by Planck [2] have been used
to set constraints on the DM energy injections and the DM anni-
hilation
cross sections for specified final states. Compared to the
results from CR and gamma-ray observations, these constraints are
more stringent, and are free of some astrophysical uncertainties,
which arise from the large-scale structure formation, DM density
files and so on [26].
http://dx.doi.org/10.1016/j.physletb.2017.09.003
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
.