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Neutrino telescope searches for dark matter in the Sun
Pat ScottFundamental Physics Section, Department of Physics,
Imperial College London, Blackett Laboratory,
Prince Consort Road, London SW7 2AZ, UK
I give a brief review of a few recent developments and future
directions in the search fordark matter using high-energy neutrinos
from the Sun. This includes the ability to recastneutrino telescope
limits on nuclear scattering of dark matter to arbitrary new
theories, andnew calculations of the solar atmospheric background
relevant to such searches. I also touchon applications to global
searches for new physics, and prospects for improving searches
forasymmetric dark matter in the Sun.
1 Current status
High-energy neutrinos from the Sun provide one of the cleanest
potential discovery channels forweakly-interacting dark matter
(DM). Weakly-interacting DM particles passing through the Sunare
expected to scatter on solar nuclei. Some of these collisions
reduce the kinetic energy ofthe DM particle enough for it to become
gravitationally bound to the Sun, causing it to returnon a bound
orbit and undergo subsequent scattering, eventually thermalising
and settling downto the solar core. If DM is able to annihilate,
either with itself of with anti-DM captured in asimilar manner,
high-energy SM particles will be produced in the solar core. Even
if neutrinosare not amongst those particles produced in the
annihilation hard process, they will still begenerated with quite
high energies in the decay and subsequent interaction of other SM
particleswith nuclei in the Sun. Unlike the other SM particles,
these GeV-scale neutrinos are then ableto travel unhindered from
the centre of the Sun to the surface, and across space to Earth,
wherethey may be detected with terrestrial experiments.
The directionality of the signal is the primary means by which
it can be distinguished fromthe atmospheric neutrino background,
caused by cosmic ray interactions with the Earth’s at-mosphere. The
only known background to the signal is therefore the analogous
production ofhigh-energy neutrinos in the atmosphere of the Sun,
due to interactions of cosmic rays with solarnuclei.
The capture of dark matter by the Sun typically becomes the
rate-limiting step in the pro-duction of any signal, rather than
the annihilation. Searches for high-energy neutrinos fromthe Sun
are therefore most useful for constraining the interaction
cross-section of dark matterwith nuclei. Spin-dependent
interactions are particularly relevant, as the Sun consists mostly
ofhydrogen, which possesses nuclear spin.
Current limits from neutrino telescope and direct searches for
dark matter scattering areshown in Fig. 1. The IceCube neutrino
telescope presently provides the leading sensitivity
tospin-dependent scattering with protons at high DM masses1,
whereas Super-Kamiokande2 andPICO-603 have the leading sensitivity
at low masses. ANTARES4 also provides complementaryconstraints.
Direct searches lead the way for spin-independent interactions, and
spin-dependentinteractions with neutrons.
arX
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10 1 10 2 10 3 10 4
m [GeV]
10 -41
10 -40
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SD
p[c
m2]
PIC
O-2
L
(20
15
)
PIC
O-6
0
(20
13
-20
14
)
b̄bW+ W
+
IceCube (2011-2014)Super-K (1996-2012)Antares (2007-2012)
IceCube (2011-2014)Super-K (1996-2012)Antares (2007-2012)
10 -5
10 -4
10 -3
10 -2
10 -1
10 0
[pb
]
101 102 103 104
mχ [GeV]
10-46
10-45
10-44
10-43
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10-41
10-40
10-39
σSI
χ−p [cm
2]
LUX (201
3,2014-20
16)
PandaX-II (2
016)Xenon100
(2010-201
4)
bb̄ W+W−
τ+τ−
IceCube (2011-2014)Super-K (1996-2012)Antares (2007-2012)
IceCube (2011-2014)Super-K (1996-2012)Antares (2007-2012)
10-10
10-9
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[pb]
101 102 103 104 105
WIMP Mass [GeV/c2]
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100
WIM
P–pr
oton
cros
sse
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n[p
b]
DAMA
LUX W
S201
3
SuperK (ττ̄)
PICO-2L
PICO-60
XENO
N100
IceCu
be(b̄b
)
IceC
ube (
W+ W− )
IceC
ube (
ττ̄)
Pand
aX-II
LUX
WS20
13+W
S201
4–16
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oton
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101 102 103 104 105
WIMP Mass [GeV/c2]
10−7
10−6
10−5
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10−3
10−2
10−1
WIM
P–ne
utro
ncr
oss
sect
ion
[pb]
MSSM (Strege et al, 2014)
MSSM (GAMBIT, 2017)
LUX W
S2013
CMS: gq = 0.25,gχ = 1
ATLAS:gq = 0.25,gχ = 1
XENO
N100
PandaX
-II
LUX W
S2013+
WS201
4–16
10−43
10−42
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WIM
P–ne
utro
ncr
oss
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ion
[cm
2 ]
Figure 1 – Current limits on nuclear scattering of dark matter
from neutrino telescopes and direct detection. Thetop row shows
limits from the leading neutrino telescopes on both the
spin-dependent scattering cross-sectionwith protons, and the
spin-independent cross-section (with any nucleon). The lower row
compares limits on thespin-dependent interactions with protons and
neutrons, illustrating the role of various direct detection and
colliderexperiments, as well as the evolution of corresponding
supersymmetric theory predictions over time. Figures fromIceCube1
(top row) and LUX5 (bottom row).
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101 102 103 104
mχ [ GeV ]
10-43
10-42
10-41
10-40
10-39
10-38
σSD
χp
[ c
m2 ]
ττ̄ floorSuper-K
ττ̄ floorIceCube
IC(2
016)
ττ̄
Super-K(2015) τ τ̄PIC
O-60 C
3F 8
Figure 2 – Current limits on spin-dependent nuclear scattering
of DM, compared to older calculations of theneutrino floor for
neutrino searches toward the Sun; more accurate calculations of the
floor are now available9,10,but give broadly similar results.
Figure from Ng et al.11
2 Improved background calculations
Previous predictions of the background rate of high-energy
neutrinos from the Sun, due tointeractions of cosmic rays with
nuclei in the solar atmosphere, were computed more than adecade
ago.6,7,8 However, two more recent recalculations have
appeared.9,10 Compared to theolder predictions, the new
calculations make use of modern knowledge on neutrino
oscillations,production and interaction cross-sections. One of
these10 also makes use of up-to-date modelsof the solar composition
and structure, and carries out extensive Monte Carlo simulations
ofneutrino production, interaction and oscillation. Both studies
(and another at the same time,based on the old flux estimates11)
show that the solar atmospheric background lies barely an orderof
magnitude below current sensitivity limits for some models (Fig.
2). This suggests that futureneutrino telescopes might be able to
directly measure this irreducible ‘neutrino floor’, and thatthe
improved calculations of the background rates should be included in
future phenomenologicalstudies of DM scattering and annihilation in
the Sun.
3 Recasting efforts
One of the major difficulties in interpreting the results of
neutrino searches for DM in the Sunis the model-dependence of most
published limits. This arises from the fact that the signal
pre-diction is highly model-dependent, as the capture rate,
annihilation rate, annihilation branchingfractions and resulting
neutrino spectrum predicted at Earth all enter the calculation of
thepredicted signal in a significant way. Traditional presentations
from experiments1,4,15 give limitson scattering cross-sections as a
function of DM mass, under various limiting assumptions aboutthe
dominant annihilation channel. Recently, a more general and
flexible method for presentingthe results of such searches has been
developed16,12, allowing existing searches to be easily recastto
provide detailed and consistent constraints on alternative DM
models. This allows existingresults to be converted to limits on
different annihilation channels than those assumed in theoriginal
analysis (Fig. 3), and for them to be applied to much more complex
models (Fig. 4),including arbitrary combinations of different
annihilation final states and nuclear interactions(spin-dependent,
spin-independent, and even more general forms). Public software
exists to
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101 102 103 104
Dark matter mass mχ (GeV)
10−42
10−41
10−40
10−39
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Dar
km
atte
r-pro
ton
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nσSD,p
(cm
2)
IceCube Collaboration 2016
IC79
gg
bb̄
hh
tt̄
W+W−
ZZ
τ+τ−
νν̄
Figure 3 – 90%CL upper limits on the DM-proton nuclear
scattering cross-section derived by recasting theIceCube 79-string
search for DM in the Sun. Different curves assume different
annihilation final states. Figurefrom IceCube.12
101 102 103 104
Dark matter mass mχ (GeV)
10−45
10−44
10−43
10−42
10−41
10−40
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10−35
Eff
ecti
veχ0 1-p
roto
ncr
oss-
sect
ionσ′ SD,p
(cm
2)
IceCube Collaboration 2016
Well-temperedneutralinos
χ± coannihilation
A funnel
Pure h̃B̃ − q̃coann.
Area where essentiallyall MSSM models areexcluded by IC79
MSSM excluded byIC79 dependingon channel
MSSM models notexcluded by IC79
τ +τ −
b̄b
MSSM-25 benchmarks
excluded at >90%CL
tension (68% – 90% CL)
allowed
Figure 4 – 25-parameter supersymmetric benchmark models from
Silverwood et al.13 and Cahill-Rowley et al.14,colour-coded
according to how strongly disfavoured they are by the recast limit
from the 79-string IceCube searchfor DM annihilation in the Sun.
The borders of the grey regions show the recast limits for typical
‘hard’ (τ+τ−)and ‘soft’ (bb̄) spectra seen in supersymmetric
models. Figure from IceCube.12
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perform the recast (nulike: http://nulike.hepforge.org).This
recastable form also has the advantage of providing substantial
additional information
compared to the traditional presentation, as it provides
event-level information on neutrino/muonarrival angles and
energies, and a detailed approximation to the full likelihood form
of theexperiment. This is particularly important when including
searches for high-energy neutrinosfrom the Sun in global analyses
of new physics scenarios such as supersymmetry. IceCube
searcheshave been used in this format in the most recent reference
global analyses of supersymmetricDM17,18 and scalar singlet DM19,
done in the context of the GAMBIT project.20,21,22,23,24,25
4 Prospects for combined analysis and application to new
models
Whilst the recastable form12 of the 79-string IceCube data15 is
far more flexible and generallyuseful to the phenomenological
community, there is some amount of overhead required to reducethe
data to the necessary form. For this reason, recastable versions of
the 86-string IceCubesearch1, and the latest results from ANTARES4
and Super-Kamiokande2 are not yet available.It is hoped that this
will soon change. One significant driver for such a development is
theprospect that the data of all three neutrino telescopes could be
seamlessly combined, to givea single unified and strengthened
limit. Indeed, as soon as each of the individual datasets
isavailable in recastable form, the combination would be extremely
straightforward to perfomvia the composite likelihood method.
Including the combined constraint in global analyses ofsearches for
new physics would be similarly straightforward.
A related recasting application will be to rigorously apply
neutrino telescope limits to modelsof asymmetric DM that exhibit
both symmetric and asymmetric components26, allowing
strongconstraints to be placed on their asymmetry parameter r∞.
Here the capture rates of such modelsneed to be carefully
determined via a low-energy effective operator treatment27, and the
fullrange of possible operators for both scattering and
annihilation, along with their interferences,taken into account.
The results of such an exercise will be especially interesting to
compareto helioseismological and low-energy solar neutrino
observables, given recent suggestions of apossible signal of DM
from this sector. 28,29,30,31,32,33,a
Acknowledgments
I am supported by STFC (ST/K00414X/1, ST/P000762/1,
ST/L00044X/1), and thank my co-authors on a number of the works
discussed here.
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1 Current status2 Improved background calculations3 Recasting
efforts4 Prospects for combined analysis and application to new
models