Prospects for Detecting Dark Matter Halo Substructure with Pulsar Timing

Kathryn M. Zurek; Niayesh Afshordi; Shant Baghram

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Prospects for Detecting Dark Matter Halo Substructure with Pulsar Timing

Shant Baghram, Niayesh Afshordi, Kathryn M. Zurek

Cosmology and Nongalactic Astrophysics · Submitted 28 Jan 2011

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Our results show that while current observations are unable to detect these signals, the sensitivity of the upcoming Square Kilometer Array (SKA) is only a factor of few weaker than our optimistic predictions.

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arXiv ID1101.5487 (version 3)

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CitationKathryn M. Zurek, Niayesh Afshordi, Shant Baghram. "Prospects for Detecting Dark Matter Halo Substructure with Pulsar Timing." arXiv:1101.5487 (2011). https://pith.science/paper/RMBQFK6W

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One of the open questions of modern cosmology is the nature and properties of the Dark Matter halo and its substructures. In this work we study the gravitational effect of dark matter substructures on pulsar timing observations. Since millisecond pulsars are stable and accurate emitters, they have been proposed as plausible astrophysical tools to probe the gravitational effects of dark matter structures. We study this effect on pulsar timing through Shapiro time delay (or Integrated Sachs-Wolfe (ISW) effect) and Doppler effects statistically, showing that the latter dominates the signal. For this task, we relate the power spectrum of pulsar frequency change to the matter power spectrum on small scales, which we compute using the stable clustering hypothesis. We compare this power spectrum with the reach of current and future observations of pulsar timing designed for gravitational wave (GW) detection. Our results show that while current observations are unable to detect these signals, the sensitivity of the upcoming Square Kilometer Array (SKA) is only a factor of few weaker than our optimistic predictions.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	One of the open questions of modern cosmology is the nature and properties of the Dark Matter halo and its substructures.	background 0.91	0.03	0.02	asserted 0.97
s1	In this work we study the gravitational effect of dark matter substructures on pulsar timing observations.	contribution 1.00	0.90	0.03	asserted 0.87
s2	Since millisecond pulsars are stable and accurate emitters, they have been proposed as plausible astrophysical tools to probe the gravitational effects of dark matter structures.	background 1.00	0.05	0.02	hedged possibility 0.86
s3	We study this effect on pulsar timing through Shapiro time delay (or Integrated Sachs-Wolfe (ISW) effect) and Doppler effects statistically, showing that the latter dominates the signal.	method 0.58	0.91	0.20	asserted 1.00
s4	For this task, we relate the power spectrum of pulsar frequency change to the matter power spectrum on small scales, which we compute using the stable clustering hypothesis.	method 0.99	0.92	0.03	asserted 0.99
s5	We compare this power spectrum with the reach of current and future observations of pulsar timing designed for gravitational wave (GW) detection.	method 0.77	0.80	0.05	asserted 0.88
s6	Our results show that while current observations are unable to detect these signals, the sensitivity of the upcoming Square Kilometer Array (SKA) is only a factor of few weaker than our optimistic predictions.	result 0.96	0.93	0.86	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.78 · evidence from simulation or computation 0.75.

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The paper

Original abstract

One of the open questions of modern cosmology is the nature and properties of the Dark Matter halo and its substructures. In this work we study the gravitational effect of dark matter substructures on pulsar timing observations. Since millisecond pulsars are stable and accurate emitters, they have been proposed as plausible astrophysical tools to probe the gravitational effects of dark matter structures. We study this effect on pulsar timing through Shapiro time delay (or Integrated Sachs-Wolfe (ISW) effect) and Doppler effects statistically, showing that the latter dominates the signal. For this task, we relate the power spectrum of pulsar frequency change to the matter power spectrum on small scales, which we compute using the stable clustering hypothesis. We compare this power spectrum with the reach of current and future observations of pulsar timing designed for gravitational wave (GW) detection. Our results show that while current observations are unable to detect these signals, the sensitivity of the upcoming Square Kilometer Array (SKA) is only a factor of few weaker than our optimistic predictions.

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References

Forward citations

Cited by 14 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Discovering Substellar Dark Matter Halos with Astrometric Weak Lensing of Multiply Imaged Quasars
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Time-domain astrometric weak lensing of multiply imaged quasars can detect substellar dark matter halos down to 10^{-6} solar masses, reaching the standard ΛCDM population with SNR of order ten at 0.1 microarcsecond p...
Compact Dark Matter with Globular Cluster Pulsars
astro-ph.HE 2026-10 accept novelty 7.0 of 10

Pulsars in globular clusters can be used to search for compact dark matter via Shapiro delays; a forty-year SKA2 campaign on Terzan 5 would reach dark-matter fractions as low as 6% at 0.02 M⊙.
Proper Time Shifts in Pulsar Timing Arrays
hep-ph 2026-09 accept novelty 7.0 of 10

The timing residual of a pulsar timing array, defined as the proper time shift between consecutive pulse arrivals, decomposes into Doppler, Shapiro, and Einstein delays whose sum is gauge invariant.
Detecting gravitational signatures of dark matter with atom gradiometers
hep-ph 2025-05 conditional novelty 7.0 of 10

Atom gradiometers, especially a space-based AEDGE+-like design, could probe a 10% dark matter clump subcomponent in the 10^6 to 10^10 kg window and order-10 ultralight dark matter overdensities through purely gravitat...
Dark Photon Stars: Formation and Role as Dark Matter Substructure
hep-ph 2022-03 conditional novelty 7.0 of 10

Vector dark matter generated by inflationary fluctuations forms solitons of mass about 10^-16 solar masses times (10^-5 eV/m)^(3/2), carrying an order-one fraction of the dark matter, surrounded by fuzzy halos and lar...

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Reheating Effects in the Matter Power Spectrum and Implications for Substructure
astro-ph.CO 2011-06 accept novelty 7.0 of 10

An early matter-dominated era before reheating enhances small-scale dark matter perturbations and can put up to 50% of dark matter into Earth-mass microhalos by redshift 100.
Pulsar Timing Sensitivity to Dark Matter Substructure in the Presence of a Stochastic Gravitational-Wave Background
astro-ph.CO 2026-07 accept novelty 6.5 of 10

A stochastic GWB suppresses PTA reach to DM substructure by 1–3 orders of magnitude relative to white-noise forecasts, with dynamic Shapiro least affected near 10^{-2} M_⊙.
Searching for Dense Perturbers in Cold Dark Matter Simulations
astro-ph.CO 2026-10 accept novelty 6.0 of 10

CDM-only simulations of a Milky Way analog produce no subhalos as dense as the observed low-mass perturbers in the B1938+666 lens, GD-1 stellar stream, and Fornax 6 star cluster.
Supernova microlensing as a probe of ultracompact minihalos and primordial cosmology
astro-ph.CO 2026-09 conditional novelty 6.0 of 10

Supernova microlensing can probe extended dark objects such as ultracompact minihalos and translate abundance limits into constraints on the primordial curvature power spectrum at small scales.
Projecting the ultimate pulsar timing sensitivity to dark matter substructure in a stochastic gravitational wave background
astro-ph.CO 2026-06 unverdicted novelty 6.0 of 10

Monte Carlo and ML surrogate framework projects PTA sensitivity to compact DM substructures and shows SGWB weakens it, with only Shapiro searches retaining sensitivity in optimistic cases.
Probing Small-Scale Power Spectra with Pulsar Timing Arrays
astro-ph.CO 2020-12 conditional novelty 6.0 of 10

A full time-domain Monte Carlo of pulsar timing residuals from dark matter subhalos finds standard cold dark matter undetectable after Milky Way tidal stripping, while early matter domination below 1 GeV reheating and...
Pulsar Timing Probes of Primordial Black Holes and Subhalos
astro-ph.CO 2019-01 accept novelty 6.0 of 10

Pulsar timing with the Square Kilometer Array could constrain primordial black holes and compact dark-matter subhalos to well under one percent of the dark matter over masses from 10^-12 to above 100 solar masses.
Observability of Dark Matter Substructure with Pulsar Timing Correlations
astro-ph.CO 2020-05 conditional novelty 5.0 of 10

Stochastic correlations in pulsar timing residuals from many transiting dark matter subhalos could let an SKA-like array constrain subhalo abundance down to about 10^-13 solar masses, even for diffuse CDM-like concentrations.
Gravitational wave probes of dark matter: challenges and opportunities
astro-ph.CO 2019-07 accept novelty 3.0 of 10

A community white paper maps six ways gravitational-wave observatories could probe dark matter and lists the open problems that must be solved to make those probes work.

How the literature uses it

32 arXiv papers cite this in 67 sentences

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Papers citing it · 44 sentences without a confident label

Contests it 1 paper

Each event causes a jump in the pulsar frequency, signaling that a series of such step functions causes the pulsar frequency to undergo a random walk.[Ref. [ref] dropped the second term in Eq. [ref], which is necessary for obtaining this random walk behavior.] The third term in Eq. [ref] corresponds to a transient – the signal does not accumulate in the pulsar frequency with each passing event – as in Ref. [ref] ; we expect such terms to have a subdominant effect and hence drop them.

Observability of Dark Matter Substructure with Pulsar Timing Correlations · Doppler delay · contest 0.86

Uses its method or tool 4 papers

In writing Eq. ([ref]), we use the so-called moving sheet approximation [ref] , where we assume the time dependence of the lensing potential is entirely due to the coherent transverse motion of a lensing sheet.

Transient Weak-Lensing by Cosmological Dark Matter Microhaloes · Transient Weak Lensing in the perturbed Universe: Geodesics Method · 0.98
Finally, [equation] and the rest of the derivation for the signal correlator proceeds as in Ref. [ref] .

Observability of Dark Matter Substructure with Pulsar Timing Correlations · Relationship with the Power Spectrum Approach · 0.86
Nevertheless, they may leave an imprint in pulsar timing arrays that can detected using a statistical prescription as considered in [ref] .

Pulsar Timing Probes of Primordial Black Holes and Subhalos · Conclusions · 0.83

Compares with it 2 papers

In this section, we explain the difference between this work and the power spectrum procedure adopted in Ref. [ref] .

Observability of Dark Matter Substructure with Pulsar Timing Correlations · Relationship with the Power Spectrum Approach · 0.94
Although some search methods have been already proposed for UCMHs (e.g., [ref] ), our approach is complementary to these previous approaches.

Detectability of Small-Scale Dark Matter Clumps with Pulsar Timing Arrays · Discussion · 0.81

Cites it as background 12 papers

Strategies that aim to detect dark subhalos rely on measuring their gravitational signatures via stellar dynamics [ref] , gravitational lensing [ref] or pulsar timing [ref] and, in the case of several DM candidates, e.g. WIMPs, on detecting the flux of final stable particles produced by DM annihilation or decay (e.g. [ref] ).

Sensitivity Estimation for Dark Matter Subhalos in Synthetic Gaia DR2 using Deep Learning · Introduction · 0.80
The use of PTAs to probe DM substructure has been extensively studied [ref] .

Astrophysical Observations of a Dark Matter-Baryon Fifth Force · Limits from Pulsar Timing Arrays · 0.99
These effects have been studied as possible PTA probes of DM substructure in Refs. [ref] .

Projecting the ultimate pulsar timing sensitivity to dark matter substructure in a stochastic gravitational wave background · Introduction · 0.94

What it cites · 6 sentences without a confident label

Cites as background 1 paper

It is worth mentioning that pulsar timing was also used to study other astronomical effects [ref] , as a recent example the effect of DM subhalos crossing the line of sight was studied in astrometric microlensing [ref] .

Astrometric Microlensing by Local Dark Matter Subhalos · INTRODUCTION · 0.95

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