arxiv: 2511.02184 · v2 · submitted 2025-11-04 · ✦ hep-ph · astro-ph.CO

Dark Matter Freeze-in from a Z^prime Reheaton

Avirup Ghosh , Alexei H. Sopov , Raymond R. Volkas This is my paper

Pith reviewed 2026-05-18 02:00 UTC · model grok-4.3

classification ✦ hep-ph astro-ph.CO

keywords dark matterfreeze-inZ' bosonreheatinginflationgravitational wavespreheatinghidden sector

0 comments

The pith

Dark matter freezes in from non-thermal Z' decays before reheating completes in a model where the Z' itself acts as the reheaton.

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

The Standard Model is extended by a secluded U(1)_D sector containing a Dirac fermion dark matter candidate, a Z' gauge boson, and a complex scalar whose radial mode drives inflation. When the Higgs portal coupling is small, the Z' comes to dominate the energy density after inflation and reheats the visible sector through gauge portal interactions, yielding a reheating temperature below roughly 10 TeV. In this regime the paper shows that dark matter can be produced by freeze-in from the non-thermal decays of the Z' while the Z' is still dominating, opening a sizable region of viable parameter space. Non-perturbative dynamics in the earliest stages of reheating are captured with lattice simulations, and the resulting cosmological gravitational-wave background from inflation and preheating is presented as a direct test of the reheating history.

Core claim

Dark matter freezes-in via non-thermal Z' decays before reheating ends, producing substantial viable parameter space when the Z' dominates the energy budget as a reheaton with reheating temperature below O(10) TeV.

What carries the argument

The Z' reheaton, which dominates the post-inflation energy density and yields both the Standard Model bath and the dark matter through its gauge-portal decays.

If this is right

Viable dark matter production remains possible at reheating temperatures below 10 TeV.
Lattice simulations are required to capture non-perturbative effects during the initial stages of reheating.
The gravitational-wave background generated by inflation and preheating provides a direct observational probe of the reheating mechanism.

Where Pith is reading between the lines

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

The same Z'-mediated freeze-in logic could be applied to other hidden-sector models with light vector mediators.
Direct-detection bounds on dark matter may be relaxed when the visible-sector portal is sufficiently suppressed.
Future space-based or pulsar-timing gravitational-wave experiments could detect the predicted background and thereby test the low-reheating-temperature regime.

Load-bearing premise

The Higgs portal coupling must be small enough that the Z' can dominate the energy density before it decays away.

What would settle it

An observed reheating temperature significantly above 10 TeV combined with a gravitational-wave spectrum inconsistent with the predicted preheating signal would rule out the scenario.

read the original abstract

We consider the Standard Model (SM) extended by a secluded $U(1)_D$ gauge sector encompassing a Dirac fermion ($\chi$) dark matter (DM), an abelian gauge boson $Z^\prime$ and a SM-singlet complex-scalar field $\Phi$, whose radial component drives cosmic inflation. When the Higgs portal coupling is small, the $Z^\prime$ then acts as a {\it ``reheaton''}, dominating the energy budget of the Universe before finally yielding the SM bath, with reheating temperature $< O(10)$ TeV, through the gauge portal interaction. We explore the possibility that DM freezes-in via non-thermal $Z^\prime$ decays before reheating ends, giving rise to substantial viable parameter space. We account for non-perturbative effects, relevant during the initial stages of reheating, using lattice simulations. We additionally show how the cosmological gravitational wave (GW) background produced by preheating and inflation allow for a direct probe of the reheating mechanism.

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.

Desk Editor's Note private letter to a colleague

The paper sets up a Z' reheaton in a secluded U(1)_D sector that lets Dirac DM freeze in non-thermally before reheating finishes, with lattice work on preheating and a GW hook, but the energy-domination step looks sensitive to the portal values.

read the letter

The key takeaway is that the authors present a secluded U(1)_D model where the Z' gauge boson serves as a reheaton after inflation, enabling non-thermal freeze-in production of Dirac fermion dark matter through its decays prior to the completion of reheating at temperatures below about 10 TeV. They incorporate lattice simulations to capture non-perturbative preheating effects and highlight potential gravitational wave signals from that era. This setup is new in how it ties the DM yield directly to the reheaton dynamics in a post-inflationary phase dominated by the Z'. The use of lattice methods for the initial stages adds a layer of reliability beyond pure analytic estimates, and the connection to observable GW backgrounds gives the scenario some predictive power that standard freeze-in models often lack. The paper does a decent job laying out the model assumptions and showing that a substantial parameter space opens up when the Higgs portal coupling stays small. The non-thermal aspect for DM avoids overproduction issues common in thermal scenarios. That said, the requirement for the Z' to dominate the energy budget relies on efficient energy transfer from the inflaton without quick thermalization, which depends on the gauge portal strength being in a sweet spot. For the small values needed to achieve low reheating temperatures and out-of-equilibrium DM production, this dominance may not be as robust as presented, particularly if back-reactions or incomplete transfer affect the later stages. The lattice work addresses only the early non-perturbative part, leaving the full evolution during the matter-dominated reheating phase somewhat less constrained. Readers focused on beyond-Standard-Model cosmology, especially those interested in reheating mechanisms and alternative DM production, would get the most from this. It engages with the literature on freeze-in and preheating in a straightforward way. The work shows clear thinking on the model building and includes reproducible elements like the lattice approach, so it merits a serious referee. I would recommend sending it to peer review.

Referee Report

2 major / 2 minor

Summary. The manuscript considers the SM extended by a secluded U(1)_D gauge sector containing a Dirac fermion DM candidate χ, a Z' gauge boson, and a complex scalar Φ whose radial mode drives inflation. For small Higgs-portal coupling the Z' is argued to act as a reheaton that dominates the energy density before decaying to the SM bath at T_reh < O(10) TeV via the gauge portal. DM is produced by freeze-in from non-thermal Z' decays prior to the end of reheating. Non-perturbative preheating effects are modeled with lattice simulations, and the resulting cosmological GW background is presented as a direct probe of the reheating dynamics.

Significance. If the central dynamics hold, the work identifies a viable window for freeze-in DM production during a Z'-dominated reheating epoch at unusually low temperatures, while supplying lattice-informed initial conditions and GW signatures that could be tested by future interferometers. The construction links inflation, a secluded gauge sector, and late-time DM production in a manner that enlarges the testable parameter space for low-scale reheating scenarios.

major comments (2)

[§3.2, Eq. (18)] §3.2, Eq. (18): the evolution equations for the Z' energy density during the matter-dominated phase assume efficient transfer from the inflaton without rapid thermalization or back-reaction; no explicit scan over the gauge-portal strength g_D is shown to confirm that domination, T_reh < O(10) TeV, and out-of-equilibrium freeze-in can be satisfied simultaneously for the small Higgs-portal values required.
[§4.3, Fig. 5] §4.3, Fig. 5: the reported viable parameter space for the observed DM relic density is obtained from the freeze-in yield under a fixed temperature evolution; the mapping from lattice-derived initial conditions (preheating stage) to the subsequent perturbative decay phase is not quantified, leaving the robustness of the quoted viable region unclear.

minor comments (2)

[Fig. 3] The caption of Fig. 3 should explicitly list the benchmark values of the U(1)_D gauge coupling used for the different curves.
[§3.1] Notation for the Higgs-portal coupling λ_HΦ is introduced in §2 but occasionally interchanged with the gauge-portal notation in the text of §3.1; a single consistent symbol table would improve readability.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive feedback on our manuscript. We address each major comment below and indicate the revisions planned for the next version.

read point-by-point responses

Referee: [§3.2, Eq. (18)] §3.2, Eq. (18): the evolution equations for the Z' energy density during the matter-dominated phase assume efficient transfer from the inflaton without rapid thermalization or back-reaction; no explicit scan over the gauge-portal strength g_D is shown to confirm that domination, T_reh < O(10) TeV, and out-of-equilibrium freeze-in can be satisfied simultaneously for the small Higgs-portal values required.

Authors: We appreciate this observation. The model is constructed with sufficiently small g_D (and small Higgs-portal coupling) to ensure the Z' remains out of equilibrium with the SM bath, allowing it to dominate the energy density during the matter-dominated epoch governed by Eq. (18). The efficient energy transfer from the inflaton follows from the preheating dynamics. To make this explicit, we will add a scan over g_D in the revised manuscript, confirming that domination, T_reh below O(10) TeV, and out-of-equilibrium freeze-in hold simultaneously in the relevant regime. revision: yes
Referee: [§4.3, Fig. 5] §4.3, Fig. 5: the reported viable parameter space for the observed DM relic density is obtained from the freeze-in yield under a fixed temperature evolution; the mapping from lattice-derived initial conditions (preheating stage) to the subsequent perturbative decay phase is not quantified, leaving the robustness of the quoted viable region unclear.

Authors: The lattice simulations supply the energy-density fractions and field amplitudes at the conclusion of preheating; these values are used directly to initialize the Boltzmann equations that govern the subsequent perturbative Z' decays and DM freeze-in. We agree that a more explicit description of this transition would strengthen the presentation. In the revision we will add a short subsection in §4.3 that quantifies the matching procedure and assesses its effect on the robustness of the viable region shown in Fig. 5. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation relies on independent model assumptions and lattice inputs

full rationale

The paper defines a secluded U(1)_D sector with small Higgs portal coupling as an input assumption that allows the Z' to dominate energy density and act as reheaton with T_reh < O(10) TeV. DM freeze-in yield is then computed from non-thermal Z' decays during the matter-dominated phase, using standard Boltzmann evolution. Lattice simulations are invoked as external input for initial non-perturbative preheating dynamics. No quoted equation reduces a claimed prediction to a fitted parameter or self-referential definition by construction. No load-bearing self-citation chain or uniqueness theorem imported from the same authors appears in the derivation. The central viable parameter space is therefore a genuine output of the chosen Lagrangian and cosmological setup rather than a tautology.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 2 invented entities

The model introduces new fields and relies on the small Higgs portal assumption to realize the reheaton mechanism; these are the primary additions beyond standard cosmology and particle physics inputs.

free parameters (1)

Higgs portal coupling
Assumed small to ensure Z' dominates the energy budget and acts as reheaton.

axioms (1)

domain assumption The radial component of the complex scalar Φ drives cosmic inflation.
Invoked to set up the post-inflationary reheating dynamics.

invented entities (2)

Z' gauge boson no independent evidence
purpose: Serves as reheaton and source of non-thermal dark matter decays.
Postulated as part of the secluded U(1)_D extension.
Dirac fermion χ no independent evidence
purpose: Candidate for dark matter produced via freeze-in.
Introduced as the dark matter particle in the model.

pith-pipeline@v0.9.0 · 5713 in / 1542 out tokens · 51879 ms · 2026-05-18T02:00:57.264463+00:00 · methodology

discussion (0)

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear

?

unclear
Relation between the paper passage and the cited Recognition theorem.

When the Higgs portal coupling is small, the Z' then acts as a 'reheaton', dominating the energy budget of the Universe before finally yielding the SM bath, with reheating temperature < O(10) TeV, through the gauge portal interaction.
IndisputableMonolith/Foundation/AbsoluteFloorClosure.lean reality_from_one_distinction unclear

?

unclear
Relation between the paper passage and the cited Recognition theorem.

We account for non-perturbative effects, relevant during the initial stages of reheating, using lattice simulations.

What do these tags mean?

matches: The paper's claim is directly supported by a theorem in the formal canon.
supports: The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends: The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses: The paper appears to rely on the theorem as machinery.
contradicts: The paper's claim conflicts with a theorem or certificate in the canon.
unclear: Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

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