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arxiv: 2606.31013 · v1 · pith:QQLROBROnew · submitted 2026-06-30 · ✦ hep-ph

Complementary Probes of Light Higgsinos: Electroweak Precision Measurements and Dark Matter Direct Detection

Koichi Hamaguchi , Natsumi Nagata , Genta Osaki This is my paper

Pith reviewed 2026-07-01 00:49 UTC · model grok-4.3

classification ✦ hep-ph
keywords higgsinoselectroweak precisiondark matter direct detectionsupersymmetryoblique parameterscompressed spectranaturalness
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The pith

Future electroweak precision measurements can probe light higgsinos up to 500 GeV even in compressed spectra where direct detection loses sensitivity.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper evaluates the effects of light higgsinos on electroweak observables when they are the only new electroweak particles. It shows that projected measurements of the oblique parameters, W-boson mass, and effective weak mixing angle at future electron-positron colliders reach higgsino masses below 500 GeV, including cases with tiny mass splittings. In those compressed regions the spin-independent scattering cross section drops below the neutrino fog, so direct detection experiments lose reach. When higgsino-gaugino mixing is larger the direct detection experiments become effective and extend the probe up to the thermal relic mass near 1 TeV. The two approaches therefore cover different parts of the same motivated parameter space.

Core claim

Focusing on scenarios in which charginos and neutralinos are the only light electroweakly interacting superparticles, the authors evaluate their contributions to the electroweak oblique parameters as well as to the precision observables M_W and sin²θ_eff. They find that future electroweak precision measurements provide a powerful probe of higgsinos with masses ≲ 500 GeV, including parameter regions with highly compressed spectra and spin-independent scattering cross sections below the neutrino fog. Dark matter direct detection experiments are particularly sensitive to scenarios with larger charged-neutral mass splittings induced by higgsino-gaugino mixing and can probe higgsino dark matter u

What carries the argument

Contributions of higgsino-like charginos and neutralinos to the electroweak oblique parameters and to the observables M_W and sin²θ_eff.

If this is right

  • Electroweak precision measurements cover compressed higgsino spectra missed by direct detection.
  • Direct detection reaches the full thermal relic mass when higgsino-gaugino mixing produces larger mass splittings.
  • The two methods together test natural supersymmetry scenarios with light higgsinos across a wide range of mixing parameters.
  • Regions with spin-independent cross sections below the neutrino fog remain accessible through precision observables.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • A simultaneous null result in both channels would exclude light higgsino dark matter in the minimal setups considered.
  • The same complementarity may apply to other precision observables such as the Z-pole asymmetries not calculated here.
  • Non-observation could motivate searches for additional light superpartners that alter the isolated higgsino contributions.

Load-bearing premise

Charginos and neutralinos are the only light electroweakly interacting superparticles, so their contributions to precision observables can be isolated.

What would settle it

A future measurement of M_W or the oblique parameters at the projected ILC or FCC-ee precision that agrees with the Standard Model prediction for a higgsino mass of 300–400 GeV would falsify the claimed reach in the compressed-spectrum region.

Figures

Figures reproduced from arXiv: 2606.31013 by Genta Osaki, Koichi Hamaguchi, Natsumi Nagata.

Figure 1
Figure 1. Figure 1: Scatter plots of (a) S, ˆ Tˆ (b) W, Y . The gray points are excluded by the current LZ bound [58]. The orange points correspond to parameter regions lying within the neutrino fog [76], whereas the blue points predict direct detection cross sections above the neutrino fog. The light-green shaded region indicates the projected 2σ sensitivity corresponding to the S1 scenario introduced in Sec. 3.2, while the … view at source ↗
Figure 2
Figure 2. Figure 2: The W parameter as a function of the higgsino-like LSP mass. The color coding of the points is the same as that used in [PITH_FULL_IMAGE:figures/full_fig_p012_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Predicted shifts in the EWPOs obtained in our parameter scan; (a) the shift in [PITH_FULL_IMAGE:figures/full_fig_p013_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: SI dark matter-nucleon scattering cross section as a function of the dark matter [PITH_FULL_IMAGE:figures/full_fig_p014_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Charged-neutral mass splitting as a function of the higgsino-like LSP mass for [PITH_FULL_IMAGE:figures/full_fig_p015_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Predicted shifts in the EWPOs obtained in our parameter scan for the non [PITH_FULL_IMAGE:figures/full_fig_p019_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: SI dark matter-nucleon scattering cross section as a function of the dark matter [PITH_FULL_IMAGE:figures/full_fig_p019_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: Charged-neutral mass splitting as a function of the dark matter mass for the [PITH_FULL_IMAGE:figures/full_fig_p020_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: The χ 2 value as a function of the higgsino-like LSP mass for the various bench￾mark scenarios considered in this paper, assuming the pure-higgsino limit. The horizontal solid line indicates the 2σ exclusion threshold. (a) S1 (b) S3 [PITH_FULL_IMAGE:figures/full_fig_p022_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: χ 2 as a function of the higgsino-like LSP mass for the S1 (left) and S3 (right) scenarios. The red (blue) curves correspond to tan β = 10 (1.6). Solid (dashed) lines denote positive (negative) values of µ. The black solid curve represents the pure-higgsino limit. We fix M1 = 1 TeV and M2 = 2 TeV. 21 [PITH_FULL_IMAGE:figures/full_fig_p022_10.png] view at source ↗
read the original abstract

Although higgsinos are well motivated to be light from the viewpoint of naturalness, they remain difficult to detect experimentally because they interact only through electroweak interactions and typically possess a compressed mass spectrum. While higgsino dark matter can be efficiently probed by direct detection experiments when gauginos are relatively light, the sensitivity rapidly deteriorates for heavier gauginos due to the suppression of higgsino-gaugino mixing. In this paper, we investigate the prospects for probing light higgsinos through future electroweak precision measurements. Focusing on scenarios in which charginos and neutralinos are the only light electroweakly interacting superparticles, we evaluate their contributions to the electroweak oblique parameters as well as to the precision observables $M_W$ and $\sin^2\theta_{\mathrm{eff}}$. We compare the projected sensitivities of future $e^+e^-$ colliders with those of dark matter direct detection experiments. We find that future electroweak precision measurements provide a powerful probe of higgsinos with masses $\lesssim 500~\mathrm{GeV}$, including parameter regions with highly compressed spectra and spin-independent scattering cross sections below the neutrino fog. On the other hand, dark matter direct detection experiments are particularly sensitive to scenarios with larger charged-neutral mass splittings induced by higgsino-gaugino mixing, and can probe higgsino dark matter all the way up to the thermal relic mass of $\simeq 1~\mathrm{TeV}$. Our results demonstrate the strong complementarity between electroweak precision measurements and dark matter direct detection experiments in exploring light higgsinos and testing supersymmetric scenarios motivated by naturalness.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 3 minor

Summary. The paper evaluates the isolated contributions of light higgsinos (with gauginos decoupled) to the oblique parameters S, T, U and to the precision observables M_W and sin²θ_eff. It computes the resulting reaches of future e⁺e⁻ colliders and compares them to spin-independent direct-detection cross sections, concluding that electroweak precision measurements can probe higgsino masses ≲ 500 GeV even for highly compressed spectra below the neutrino fog, while direct detection is more powerful for larger chargino-neutralino splittings up to the thermal-relic mass ≈ 1 TeV.

Significance. If the numerical results hold, the work supplies a concrete, forward calculation that enlarges the testable parameter space for natural SUSY by showing how precision electroweak observables remain sensitive where direct detection loses reach. The explicit scoping to the decoupled-gaugino limit and the side-by-side comparison of projected sensitivities constitute a useful addition to the literature on complementary BSM probes.

minor comments (3)
  1. [§3.2, Fig. 4] §3.2 and Fig. 4: the caption and text should state the precise collider luminosities and center-of-mass energies assumed for the projected M_W and sin²θ_eff uncertainties; without these numbers the quoted 500 GeV reach cannot be reproduced from the given formulae.
  2. [Eq. (12)] Eq. (12): the definition of the effective mixing angle used for the sin²θ_eff shift is not written explicitly; adding the standard expression (or a reference to the precise definition employed) would remove ambiguity when readers recompute the oblique-parameter contributions.
  3. [Table 2] Table 2: the rows for ΔM = 1 GeV and 5 GeV list the same SI cross-section value; a brief footnote explaining whether this is an approximation or an exact result for the chosen parameter slice would improve clarity.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive assessment of the manuscript and for recommending minor revision. The referee summary accurately captures our focus on the decoupled-gaugino limit, the oblique-parameter and precision-observable calculations, and the complementarity with direct detection. No specific major comments were raised in the report.

Circularity Check

0 steps flagged

No significant circularity in derivation chain

full rationale

The paper performs explicit forward calculations of loop-level contributions from light charginos/neutralinos (under the stated assumption that they are the only light EW superparticles) to oblique parameters, MW, and sin²θ_eff, then compares projected reaches to DM direct detection. No step reduces a claimed prediction to a fitted input by construction, no self-citation is load-bearing for the central result, and the derivation relies on standard electroweak precision formulas applied to the SUSY spectrum. The work is self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Review performed on abstract only; no explicit free parameters or invented entities are stated. The central modeling choice is treated as a domain assumption.

axioms (1)
  • domain assumption Charginos and neutralinos are the only light electroweakly interacting superparticles
    Abstract states the analysis focuses on this restricted scenario to isolate their contributions.

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discussion (0)

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Reference graph

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