Potential for definitive discovery of a 70 GeV dark matter WIMP with only second-order gauge couplings Bailey Tallman Alexandra Boone Adhithya Vijayakumar Fiona Lopez Samuel Apata Jehu Martinez and
2025-05-02
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Potential for definitive discovery of a 70 GeV dark matter WIMP
with only second-order gauge couplings
Bailey Tallman, Alexandra Boone, Adhithya Vijayakumar, Fiona Lopez, Samuel Apata, Jehu Martinez, and
Roland Allen
Physics and Astronomy Department, Texas A&M University, College Station, Texas 77843, USA
Received: October 2022, Published: 2022
Abstract
As astronomical observations and their interpretation improve, the case for cold dark matter (CDM) be-
comes increasingly persuasive. A particularly appealing version of CDM is a weakly interacting massive
particle (WIMP) with a mass near the electroweak scale, which can naturally have the observed relic abun-
dance after annihilation in the early universe. But in order for a WIMP to be consistent with the cur-
rently stringent experimental constraints it must have relatively small cross-sections for indirect, direct,
and collider detection. Using our calculations and estimates of these cross-sections, we discuss the poten-
tial for discovery of a recently proposed dark matter WIMP which has a mass of about 70 GeV/c2and only
second-order couplings to W and Z bosons. There is evidence that indirect detection may already have
been achieved, since analyses of the gamma rays detected by Fermi-LAT and the antiprotons observed by
AMS-02 are consistent with 70 GeV dark matter having our calculated hσannvi ≈ 1.2 ×10−26 cm3/s. The
estimated sensitivities for LZ and XENONnT indicate that these experiments may achieve direct detec-
tion within the next few years, since we estimate the relevant cross-section to be slightly above 10−48 cm2.
Other experiments such as PandaX, SuperCDMS, and especially DARWIN should be able to confirm on a
longer time scale. The high-luminosity LHC might achieve collider detection within about 15 years, since
we estimate a collider cross-section slightly below 1 femtobarn. Definitive confirmation should come from
still more powerful planned collider experiments (such as a future circular collider) within 15-35 years.
Keywords: dark matter
There are many aspects of the dark matter problem [1, 2]
and a vast number of dark matter candidates [3, 4], with masses
and couplings spanning many orders of magnitude. The cold
dark matter (CDM) paradigm has, however, become increas-
ingly compelling during the past quarter century, because of
the growing sophistication of astronomical observations and
their interpretation [4, 5]. A particularly appealing version
of CDM continues to be weakly interacting massive particles
(WIMPs), since a weakly interacting particle with a mass near
the electroweak scale can naturally emerge from the early uni-
verse with about the observed relic abundance.
There are, however, stringent limits on the cross-sections
for direct, indirect, and collider detection. Figure 1 shows the
remarkable sensitivity achieved in direct detection experiments
during the past few decades [6], which demonstrates that a
viable dark matter candidate must have a very small cross-
section for scattering off an atomic nucleus.
As can be seen in Fig. 2, there are also strong bounds on
the cross-section for annihilation in the present universe, deter-
mined by observations of dwarf spheroidal galaxies [7].
Finally, the hopes for collider detection at the LHC have
not been realized, and strong limits have been placed on new
particles of any kind, including dark matter particles [8, 9].
Here we will focus on the potential for detection of a new
dark matter particle which is consistent with all experimen-
tal and observational limits, and which additionally appears
to be the only viable candidate with a well-defined mass and
well-defined couplings [10, 11, 12]. Since there are no free pa-
rameters, it is possible to determine the cross-sections for indi-
rect, direct, and collider detection, providing clean experimen-
tal tests of the theory.
FIGURE 1: Reach of previous direct detection experiments.
From Ref. [6], used with permission. The present dark mat-
ter candidate has couplings to only W and Z bosons, and
these are only second-order. It consequently has only a small
cross-section for scattering off atomic nuclei, estimated to be
slightly above 10−48cm2in the case of Xe [12], so it lies be-
low the sensitivities of earlier experiments. With a mass of
about 70 GeV/c2, it should barely be detectable by the LZ and
XENONnT experiments, both of which estimate a reach down
to about 1.4 ×10−48cm2for a dark matter particle with a mass
∼50 GeV/c2. The current and projected sensitivities of LZ and
XENONnT, shown in Figs. 3 - 6, demonstrate the grounds for
this prediction in more detail.
1
arXiv:2210.15019v1 [hep-ph] 24 Oct 2022
FIGURE 2: Upper bounds on hσannvifrom Fermi-LAT gamma-
ray observations of dwarf spheroidal galaxies near the Milky
Way. The solid and dashed curves are two limiting cases which
“should bracket somewhat the real energy correlation”. The
dashed gray line indicates the thermal relic cross section in-
ferred for generic WIMP models [13]. From Ref. [7], used with
permission.
This candidate is a WIMP with a mass of about 70 GeV/c2
and an annihilation cross section in the present universe given
by hσannvi ≈ 1.2 ×10−26 cm3/s, according to the calculations
described below, if it is assumed to constitute 100% of the dark
matter. It should be mentioned, however, that the present the-
ory also predicts supersymmetry (susy) at some energy scale,
and that the lightest superpartner [1, 14, 15, 16, 17, 18, 19, 20,
21, 22, 23] can be a subdominant component in a multicompo-
nent scenario.
The results above were obtained with MicrOMEGAs [24].
If we assume that the dark matter fraction ΩDM is 0.27, that the
present candidate constitutes all of the dark matter, and that the
reduced Hubble constant his 0.73 [25], we obtain ΩDM h2=
0.144. If it is instead assumed that a few percent of the dark
matter consists of other components, making ΩDM ≈0.26
for the present candidate, and that h=0.68 [26], one obtains
ΩDMh2≈0.120. (This value is equal to that obtained by Planck
for all dark matter in an analysis that confirms the consistency
of standard ΛCDM cosmology [26].) Finally, as an extreme,
we can consider ΩDM =0.22 (for the present candidate) with
h=0.68, giving ΩDM h2=0.102.
Our calculations with MicrOMEGAs yield:
ΩDMh2=0.162, 0.147, 0.134, 0.121, 0.098 and
hσannvi=1.08, 1.19, 1.30, 1.43, 1.73 ×10−26 cm3/s, respectively,
for mh=69.5, 70.0, 70.5, 71.0, 72.0 GeV/c2.
We can conclude that mh=70 −72 GeV/c2and that
hσannvi=1.2 −1.7 ×10−26 cm3/s. It is then reasonable to
say that mhis about 70 GeV/c2and that correspondingly (with
some bias toward the measured value of h=0.73 over the the-
oretical value of h=0.68 in the context of the present universe)
hσannvi ≈ 1.2 ×10−26 cm3/s.
It can be seen that our calculated hσannviwith an approxi-
mately 70 GeV mass is well below the upper bounds of Fig. 2
for any of the above values of ΩDM h2.
FIGURE 3: Reach of LZ in July 2022. From Ref. [27], used with
permission.
FIGURE 4: Reach of LZ with 1000 days of data. From Ref. [28],
used with permission.
Our calculated mass and hσannviare also consistent with
analyses of the Galactic center gamma ray excess observed by
Fermi-LAT [30, 31, 32, 33, 34, 35] and the antiproton excess ob-
served by AMS-02 [36, 37, 38, 39, 40].
Ref. [33] concludes that “The center of the Milky Way is
predicted to be the brightest region of γ-rays generated by self-
annihilating dark matter particles. Excess emission about the
Galactic center above predictions made for standard astrophys-
ical processes has been observed in γ-ray data collected by the
Fermi Large Area Telescope. It is well described by the square
of a Navarro, Frenk, and White dark matter density distribu-
tion. Although other interpretations for the excess are plausi-
ble, the possibility that it arises from annihilating dark matter
is valid.... Its spectral characteristics favor a dark matter parti-
cle with a mass in the range approximately from 50 to 190 (10
to 90) GeV and annihilation cross section approximately from
1×10−26 to 4 ×10−25 (6 ×10−27 to 2 ×10−25) cm3/s for pseu-
doscalar (vector) interactions.”
2
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Potentialfordenitivediscoveryofa70GeVdarkmatterWIMPwithonlysecond-ordergaugecouplingsBaileyTallman,AlexandraBoone,AdhithyaVijayakumar,FionaLopez,SamuelApata,JehuMartinez,andRolandAllenPhysicsandAstronomyDepartment,TexasA&MUniversity,CollegeStation,Texas77843,USAReceived:October2022,Published:2022Ab...
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时间:2025-05-02


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