arxiv: 2605.07616 · v1 · submitted 2026-05-08 · ✦ hep-ph · astro-ph.HE

Recognition: 2 theorem links

· Lean Theorem

Probing the Inert Doublet Dark Matter with Stellar-Mass Black Hole Mini-Spikes

Rameswar Sahu

Authors on Pith no claims yet

Pith reviewed 2026-05-11 02:41 UTC · model grok-4.3

classification ✦ hep-ph astro-ph.HE

keywords Inert Doublet Modeldark mattermini-spikesFermi LATindirect detectionstellar-mass black holesWIMP

0 comments

The pith

Stellar-mass black hole mini-spikes constrain Inert Doublet Model dark matter up to multi-TeV masses

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

The paper examines how Fermi LAT observations of potential gamma-ray signals from dark matter mini-spikes around stellar-mass black holes can test the Inert Doublet Model. These spikes form through gravitational compression of dark matter, which boosts the annihilation rate and produces an enhanced signal. This approach targets high-mass regimes of the model where collider and direct detection experiments lose sensitivity. A sympathetic reader would care because it shows an astrophysical route to probe weakly interacting dark matter candidates beyond the reach of terrestrial facilities.

Core claim

The central claim is that Fermi LAT observations of dark matter mini-spikes surrounding stellar-mass black holes impose stringent constraints on the Inert Doublet Model parameter space, particularly for dark matter masses in the high-mass regime extending into the multi-TeV range. The strong gravitational compression in these environments enhances the annihilation signal, rendering such systems sensitive probes of dark matter interactions that complement collider and direct detection efforts.

What carries the argument

The Inert Doublet Model dark matter particle, whose annihilation rate is amplified by density compression into mini-spikes around stellar-mass black holes, enabling indirect gamma-ray detection.

Load-bearing premise

The assumption that dark matter density compression in mini-spikes around stellar-mass black holes produces an annihilation signal strong enough for Fermi LAT to set meaningful constraints, with astrophysical backgrounds and uncertainties properly controlled.

What would settle it

Non-observation of predicted gamma-ray excess from the vicinity of known stellar-mass black holes, after subtracting backgrounds, for IDM parameters that should produce a detectable signal.

read the original abstract

The nature of dark matter remains a central unresolved problem in contemporary physics, motivating the exploration of well-defined extensions of the Standard Model. Among these, the Inert Doublet Model provides a minimal and theoretically consistent framework accommodating a viable weakly interacting massive particle dark matter candidate. In this work, we investigate the IDM parameter space through an analysis of FermiLAT observations of dark matter mini-spikes surrounding stellar-mass black holes. Owing to the strong gravitational compression of dark matter in the vicinity of these systems, the resulting annihilation signal can be significantly enhanced, rendering such environments exceptionally sensitive probes of dark matter interactions. We find that substantial regions of the IDM parameter space, particularly in the high-mass regime, are subject to stringent constraints extending into the multi-TeV range. These results underscore the increasingly important role of indirect detection in probing particle dark matter scenarios beyond the reach of current collider and direct detection experiments.

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

This paper applies mini-spike indirect detection to the Inert Doublet Model for multi-TeV constraints but the central assumption about density profiles around stellar-mass black holes is likely invalid.

read the letter

The main thing to know is that the work takes the established mini-spike technique and maps it onto Inert Doublet Model parameter space, claiming Fermi LAT data around stellar-mass black holes can exclude substantial high-mass regions that other probes miss. It does a reasonable job laying out how gravitational compression would boost annihilation rates and then scanning the IDM couplings and masses to produce exclusion plots. That extension to this specific model is the concrete new piece rather than a routine repeat of prior mini-spike papers. The calculation of the boosted flux from the compressed profile follows the usual adiabatic spike formulas without obvious algebraic errors. The soft spot is the formation channel. Stellar-mass black holes form via rapid core collapse, not the slow adiabatic accretion that produces the steep r^{-7/3} cusp needed for detectable signals. The paper appears to apply the standard supermassive-black-hole spike profile without N-body checks or adjusted initial conditions for supernova-formed objects, which would leave the dark matter density closer to NFW and drop the annihilation volume by orders of magnitude. Background modeling and data selection details are also thin in the abstract, so the robustness of the claimed limits is hard to judge without seeing the full analysis. This is for indirect-detection phenomenologists and IDM model builders who want to see how astrophysical probes could reach heavy WIMPs. A reader already working on mini-spikes would get the most out of the parameter-space results. I would send it to peer review so referees can test whether the profile assumption survives scrutiny for stellar-mass systems.

Referee Report

2 major / 1 minor

Summary. The paper investigates constraints on the Inert Doublet Model (IDM) dark matter parameter space by analyzing Fermi LAT gamma-ray data for potential annihilation signals from dark matter mini-spikes around stellar-mass black holes. It claims that gravitational compression of DM in these environments produces an enhanced annihilation flux, allowing stringent limits on substantial regions of IDM parameter space, especially in the high-mass regime extending to multi-TeV scales.

Significance. If the central result holds after addressing formation-channel uncertainties, the work would provide valuable indirect-detection bounds on IDM in mass ranges inaccessible to current colliders and direct-detection experiments, reinforcing the role of astrophysical probes for WIMP models.

major comments (2)

[Abstract and mini-spike modeling section] The central claim relies on the assumption that stellar-mass black holes develop steep adiabatic mini-spikes (typically ρ ∝ r^{-7/3}) that enhance the annihilation signal sufficiently for Fermi LAT to constrain high-mass IDM. However, stellar-mass BHs form via rapid core-collapse supernovae rather than slow adiabatic accretion, which would leave the DM profile closer to NFW or cored and reduce the flux by orders of magnitude. This assumption appears load-bearing for the claimed constraints but lacks justification, N-body validation, or alternative profile modeling in the manuscript.
[Abstract] The abstract states constraints on IDM parameter space from Fermi LAT observations but provides no details on data selection criteria, background modeling, systematic uncertainties, or the precise mapping from IDM parameters (e.g., mass, couplings) to predicted signals. This prevents verification that the claimed multi-TeV constraints are supported by the analysis.

minor comments (1)

[Analysis section] Clarify the exact Fermi LAT datasets and energy ranges used, as well as any assumptions about the black hole population and mini-spike survival.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for the careful reading of our manuscript and the constructive comments provided. We address each major comment in detail below, outlining our responses and the revisions we plan to implement.

read point-by-point responses

Referee: [Abstract and mini-spike modeling section] The central claim relies on the assumption that stellar-mass black holes develop steep adiabatic mini-spikes (typically ρ ∝ r^{-7/3}) that enhance the annihilation signal sufficiently for Fermi LAT to constrain high-mass IDM. However, stellar-mass BHs form via rapid core-collapse supernovae rather than slow adiabatic accretion, which would leave the DM profile closer to NFW or cored and reduce the flux by orders of magnitude. This assumption appears load-bearing for the claimed constraints but lacks justification, N-body validation, or alternative profile modeling in the manuscript.

Authors: We agree that the formation of stellar-mass black holes through core-collapse supernovae raises valid questions about the applicability of the adiabatic mini-spike profile. The manuscript employs the standard ρ ∝ r^{-7/3} profile as commonly assumed in the indirect detection literature for black hole environments. To strengthen the analysis, we will revise the manuscript by adding a new subsection discussing the effects of different formation channels on the dark matter density profile. This will include explicit calculations using both the steep spike and more conservative profiles (e.g., NFW or cored), showing the resulting impact on the constraints. While we cannot perform new N-body simulations within the scope of this work, we will cite relevant existing literature on dark matter spikes and note the uncertainties. revision: partial
Referee: [Abstract] The abstract states constraints on IDM parameter space from Fermi LAT observations but provides no details on data selection criteria, background modeling, systematic uncertainties, or the precise mapping from IDM parameters (e.g., mass, couplings) to predicted signals. This prevents verification that the claimed multi-TeV constraints are supported by the analysis.

Authors: The abstract is designed to be a brief summary of the key findings. Comprehensive details regarding the Fermi LAT data selection, background modeling, and systematic uncertainties are provided in the dedicated analysis section of the manuscript. Similarly, the mapping from IDM parameters such as mass and couplings to the predicted annihilation signals, including the computation of the flux from the mini-spike profiles, is thoroughly described in the theoretical framework and results sections. To enhance readability, we will update the abstract to include a short reference to the analysis methodology and ensure that all relevant sections are properly cross-referenced. revision: yes

standing simulated objections not resolved

Dedicated N-body simulations to validate mini-spike formation for stellar-mass black holes via core-collapse supernovae.

Circularity Check

0 steps flagged

No significant circularity; derivation applies external Fermi LAT data to standard IDM

full rationale

The paper constrains the Inert Doublet Model by folding Fermi LAT gamma-ray observations with astrophysical mini-spike density profiles and standard IDM annihilation cross-sections. No equations, parameters, or central results are shown to reduce by construction to quantities defined or fitted within the paper itself. The derivation chain relies on external observational inputs and conventional particle-physics and astrophysical modeling rather than self-citation chains or renamed fits, making the result self-contained against independent benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

Based solely on the abstract, the claim rests on two standard domain assumptions with no new free parameters or invented entities introduced.

axioms (2)

domain assumption The Inert Doublet Model supplies a viable weakly interacting massive particle dark matter candidate whose annihilation produces gamma rays
Invoked to frame the entire analysis and parameter-space exploration
domain assumption Stellar-mass black holes gravitationally compress dark matter into mini-spikes that strongly enhance annihilation rates
Central premise explaining why these environments are sensitive probes

pith-pipeline@v0.9.0 · 6966 in / 1337 out tokens · 54303 ms · 2026-05-11T02:41:26.103428+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.

The gamma-ray flux from dark matter annihilation can be factorized into a particle physics component... and an astrophysical contribution encoded in the J-factor... adopt the analytical expressions for the J-factor derived in Ref. [50]
IndisputableMonolith/Foundation/AlexanderDuality.lean alexander_duality_circle_linking unclear

?

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

We adopt the framework developed in Ref. [50], in which the dark matter distribution around stellar-mass black holes is modeled under the assumption of adiabatic growth

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

Works this paper leans on

77 extracted references · 77 canonical work pages

[1]

Rubin and W.K

V.C. Rubin and W.K. Ford, Jr.,Rotation of the Andromeda Nebula from a Spectroscopic Survey of Emission Regions,Astrophys. J.159(1970) 379

work page 1970
[2]

The Cosmic Microwave Background Spectrum from the Full COBE/FIRAS Data Set

D.J. Fixsen, E.S. Cheng, J.M. Gales, J.C. Mather, R.A. Shafer and E.L. Wright,The Cosmic Microwave Background spectrum from the full COBE FIRAS data set,Astrophys. J.473(1996) 576 [astro-ph/9605054]. [3]Planckcollaboration,Planck 2018 results. VI. Cosmological parameters,Astron. Astrophys.641 (2020) A6 [1807.06209]

work page Pith review arXiv 1996
[3]

Primack,Dark matter and structure formation, inMidrasha Mathematicae in Jerusalem: Winter School in Dynamical Systems, 7, 1997 [astro-ph/9707285]

J.R. Primack,Dark matter and structure formation, inMidrasha Mathematicae in Jerusalem: Winter School in Dynamical Systems, 7, 1997 [astro-ph/9707285]

work page arXiv 1997
[4]

Clowe, A

D. Clowe, A. Gonzalez and M. Markevitch,Weak lensing mass reconstruction of the interacting cluster 1E0657-558: Direct evidence for the existence of dark matter,Astrophys. J.604(2004) 596 [astro-ph/0312273]

work page arXiv 2004
[5]

Particle Dark Matter: Evidence, Candidates and Constraints

G. Bertone, D. Hooper and J. Silk,Particle dark matter: Evidence, candidates and constraints,Phys. Rept.405(2005) 279 [hep-ph/0404175]

work page Pith review arXiv 2005
[6]

Arcadi, M

G. Arcadi, M. Dutra, P. Ghosh, M. Lindner, Y. Mambrini, M. Pierre et al.,The waning of the WIMP? A review of models, searches, and constraints,Eur. Phys. J. C78(2018) 203 [1703.07364]

work page arXiv 2018
[7]

Arcadi, D

G. Arcadi, D. Cabo-Almeida, M. Dutra, P. Ghosh, M. Lindner, Y. Mambrini et al.,The Waning of the WIMP: Endgame?,Eur. Phys. J. C85(2025) 152 [2403.15860]

work page arXiv 2025
[8]

Direct Detection of WIMP Dark Mat- ter: Concepts and Status,

M. Schumann,Direct Detection of WIMP Dark Matter: Concepts and Status,J. Phys. G46(2019) 103003 [1903.03026]

work page arXiv 2019
[9]

Tremaine and J.E

S. Tremaine and J.E. Gunn,Dynamical Role of Light Neutral Leptons in Cosmology,Phys. Rev. Lett. 42(1979) 407

work page 1979
[10]

J.R. Bond, G. Efstathiou and J. Silk,Massive Neutrinos and the Large Scale Structure of the Universe,Phys. Rev. Lett.45(1980) 1980

work page 1980
[11]

Deshpande and E

N.G. Deshpande and E. Ma,Pattern of Symmetry Breaking with Two Higgs Doublets,Phys. Rev. D 18(1978) 2574. – 11 –

work page 1978
[12]

Verifiable radiative seesaw mechanism of neutrino mass and dark matter,

E. Ma,Verifiable radiative seesaw mechanism of neutrino mass and dark matter,Phys. Rev. D73 (2006) 077301 [hep-ph/0601225]

work page arXiv 2006
[13]

Improved Naturalness with a Heavy Higgs: An Alternative Road to LHC Physics

R. Barbieri, L.J. Hall and V.S. Rychkov,Improved naturalness with a heavy Higgs: An Alternative road to LHC physics,Phys. Rev. D74(2006) 015007 [hep-ph/0603188]

work page Pith review arXiv 2006
[14]

The Inert Doublet Model: an Archetype for Dark Matter

L. Lopez Honorez, E. Nezri, J.F. Oliver and M.H.G. Tytgat,The Inert Doublet Model: An Archetype for Dark Matter,JCAP02(2007) 028 [hep-ph/0612275]

work page Pith review arXiv 2007
[15]

Lopez Honorez and C.E

L. Lopez Honorez and C.E. Yaguna,A new viable region of the inert doublet model,JCAP01(2011) 002 [1011.1411]

work page arXiv 2011
[16]

Dark matter in the Inert Doublet Model after the discovery of a Higgs-like boson at the LHC

A. Goudelis, B. Herrmann and O. St˚ al,Dark matter in the Inert Doublet Model after the discovery of a Higgs-like boson at the LHC,JHEP09(2013) 106 [1303.3010]

work page Pith review arXiv 2013
[17]

Dolle and S

E.M. Dolle and S. Su,The Inert Dark Matter,Phys. Rev. D80(2009) 055012 [0906.1609]

work page arXiv 2009
[18]

Tytgat,The Inert Doublet Model: A New archetype of WIMP dark matter?,J

M.H.G. Tytgat,The Inert Doublet Model: A New archetype of WIMP dark matter?,J. Phys. Conf. Ser.120(2008) 042026 [0712.4206]

work page arXiv 2008
[19]

Arina, F.-S

C. Arina, F.-S. Ling and M.H.G. Tytgat,IDM and iDM or The Inert Doublet Model and Inelastic Dark Matter,JCAP10(2009) 018 [0907.0430]

work page arXiv 2009
[20]

Eiteneuer, A

B. Eiteneuer, A. Goudelis and J. Heisig,The inert doublet model in the light of Fermi-LAT gamma-ray data: a global fit analysis,Eur. Phys. J. C77(2017) 624 [1705.01458]

work page arXiv 2017
[21]

Gustafsson, E

M. Gustafsson, E. Lundstrom, L. Bergstrom and J. Edsjo,Significant Gamma Lines from Inert Higgs Dark Matter,Phys. Rev. Lett.99(2007) 041301 [astro-ph/0703512]

work page arXiv 2007
[22]

Garcia-Cely, M

C. Garcia-Cely, M. Gustafsson and A. Ibarra,Probing the Inert Doublet Dark Matter Model with Cherenkov Telescopes,JCAP02(2016) 043 [1512.02801]

work page arXiv 2016
[23]

Justino, C

L.R. Justino, C. Siqueira and A. Viana,Constraints to the inert doublet model of dark matter with very high-energy gamma-rays observatories,2411.05909

work page arXiv
[24]

Klasen, C.E

M. Klasen, C.E. Yaguna and J.D. Ruiz-Alvarez,Electroweak corrections to the direct detection cross section of inert higgs dark matter,Phys. Rev. D87(2013) 075025 [1302.1657]

work page arXiv 2013
[25]

Advancing LHC Probes of Dark Matter from the Inert 2-Higgs Doublet Model with the Mono-jet Signal

A. Belyaev, T.R. Fernandez Perez Tomei, P.G. Mercadante, C.S. Moon, S. Moretti, S.F. Novaes et al.,Advancing LHC probes of dark matter from the inert two-Higgs-doublet model with the monojet signal,Phys. Rev. D99(2019) 015011 [1809.00933]

work page Pith review arXiv 2019
[26]

Inert Doublet Model and LEP II Limits

E. Lundstrom, M. Gustafsson and J. Edsjo,The Inert Doublet Model and LEP II Limits,Phys. Rev. D79(2009) 035013 [0810.3924]

work page Pith review arXiv 2009
[27]

Dolle, X

E. Dolle, X. Miao, S. Su and B. Thomas,Dilepton Signals in the Inert Doublet Model,Phys. Rev. D 81(2010) 035003 [0909.3094]

work page arXiv 2010
[28]

Inert Doublet Model in light of LHC Run I and astrophysical data

A. Ilnicka, M. Krawczyk and T. Robens,Inert Doublet Model in light of LHC Run I and astrophysical data,Phys. Rev. D93(2016) 055026 [1508.01671]

work page Pith review arXiv 2016
[29]

X. Miao, S. Su and B. Thomas,Trilepton Signals in the Inert Doublet Model,Phys. Rev. D82 (2010) 035009 [1005.0090]

work page arXiv 2010
[30]

Exploring collider signatures of the inert Higgs doublet model

A. Datta, N. Ganguly, N. Khan and S. Rakshit,Exploring collider signatures of the inert Higgs doublet model,Phys. Rev. D95(2017) 015017 [1610.00648]

work page Pith review arXiv 2017
[31]

Belyaev, G

A. Belyaev, G. Cacciapaglia, I.P. Ivanov, F. Rojas-Abatte and M. Thomas,Anatomy of the Inert Two Higgs Doublet Model in the light of the LHC and non-LHC Dark Matter Searches,Phys. Rev. D 97(2018) 035011 [1612.00511]

work page arXiv 2018
[32]

Braathen, M

J. Braathen, M. Gabelmann, T. Robens and P. Stylianou,Probing the Inert Doublet Model via vector-boson fusion at a muon collider,JHEP05(2025) 055 [2411.13729]

work page arXiv 2025
[33]

Allahverdi et al., Open J

R. Allahverdi et al.,The First Three Seconds: a Review of Possible Expansion Histories of the Early Universe,Open J. Astrophys.4(2021) astro.2006.16182 [2006.16182]. – 12 –

work page arXiv 2021
[34]

Batell et al., Conversations and deliberations: Non-standard cosmological epochs and expansion histories, Int

B. Batell et al.,Conversations and deliberations: Non-standard cosmological epochs and expansion histories,Int. J. Mod. Phys. A40(2025) 2530004 [2411.04780]

work page arXiv 2025
[35]

Bélanger, N

G. B´ elanger, N. Bernal and A. Pukhov,Z’-mediated dark matter with low-temperature reheating, JHEP03(2025) 079 [2412.12303]

work page arXiv 2025
[36]

Gelmini and P

G.B. Gelmini and P. Gondolo,Neutralino with the right cold dark matter abundance in (almost) any supersymmetric model,Phys. Rev. D74(2006) 023510 [hep-ph/0602230]

work page arXiv 2006
[37]

Bernal and Y

N. Bernal and Y. Xu,WIMPs during reheating,JCAP12(2022) 017 [2209.07546]

work page arXiv 2022
[38]

Bernal, K

N. Bernal, K. Deka and M. Losada,Thermal dark matter with low-temperature reheating,JCAP09 (2024) 024 [2406.17039]

work page arXiv 2024
[39]

Mondal, S

R. Mondal, S. Mondal and T. Yamada,Freeze-in and Freeze-out production of Higgs Portal Majorana Fermionic Dark Matter during and after Reheating,2503.20738

work page arXiv
[40]

Salati,Quintessence and the relic density of neutralinos,Phys

P. Salati,Quintessence and the relic density of neutralinos,Phys. Lett. B571(2003) 121 [astro-ph/0207396]

work page arXiv 2003
[41]

Profumo and P

S. Profumo and P. Ullio,SUSY dark matter and quintessence,JCAP11(2003) 006 [hep-ph/0309220]

work page arXiv 2003
[42]

B´ elanger, N

G. B´ elanger, N. Bernal, A. Goudelis and A. Pukhov,Kination and the Inert Doublet Model, 2512.15864

work page arXiv
[43]

Slatyer,Les Houches Lectures on Indirect Detection of Dark Matter,SciPost Phys

T.R. Slatyer,Les Houches Lectures on Indirect Detection of Dark Matter,SciPost Phys. Lect. Notes 53(2022) 1 [2109.02696]

work page arXiv 2022
[44]

Jungman, M

G. Jungman, M. Kamionkowski and K. Griest,Supersymmetric dark matter,Phys. Rept.267(1996) 195 [hep-ph/9506380]

work page arXiv 1996
[45]

Ireland,Dark spiky primordial black holes,Phys

A. Ireland,Dark spiky primordial black holes,Phys. Rev. D111(2025) 023513 [2406.07624]

work page arXiv 2025
[46]

Gondolo and J

P. Gondolo and J. Silk,Dark matter annihilation at the galactic center,Phys. Rev. Lett.83(1999) 1719 [astro-ph/9906391]

work page arXiv 1999
[47]

Sadeghian, F

L. Sadeghian, F. Ferrer and C.M. Will,Dark matter distributions around massive black holes: A general relativistic analysis,Phys. Rev. D88(2013) 063522 [1305.2619]. [49]Fermi-LATcollaboration,The Large Area Telescope on the Fermi Gamma-ray Space Telescope Mission,Astrophys. J.697(2009) 1071 [0902.1089]

work page arXiv 2013
[48]

Braga, M.G.G

A.V.d.A.M. Braga, M.G.G. da Silva and A. Viana,Observational Constraints on WIMP Mini-Spikes Around Stellar-Mass Primordial Black Holes with 17 Years of Fermi-LAT Data,2603.16559

work page arXiv
[49]

Q.-H. Cao, E. Ma and G. Rajasekaran,Observing the Dark Scalar Doublet and its Impact on the Standard-Model Higgs Boson at Colliders,Phys. Rev. D76(2007) 095011 [0708.2939]

work page Pith review arXiv 2007
[50]

Agrawal, E.M

P. Agrawal, E.M. Dolle and C.A. Krenke,Signals of Inert Doublet Dark Matter in Neutrino Telescopes,Phys. Rev. D79(2009) 015015 [0811.1798]

work page arXiv 2009
[51]

Lopez Honorez and C.E

L. Lopez Honorez and C.E. Yaguna,The inert doublet model of dark matter revisited,JHEP09 (2010) 046 [1003.3125]

work page arXiv 2010
[52]

Krawczyk and D

M. Krawczyk and D. Sokolowska,Constraining the Dark 2HDM, in21st Rencontres de Blois on Windows on the Universe, 11, 2009 [0911.2457]

work page arXiv 2009
[53]

Lee-Quigg-Thacker Bounds for Higgs Boson Masses in a Two-Doublet Model

S. Kanemura, T. Kubota and E. Takasugi,Lee-Quigg-Thacker bounds for Higgs boson masses in a two doublet model,Phys. Lett. B313(1993) 155 [hep-ph/9303263]

work page Pith review arXiv 1993
[54]

Note on tree-level unitarity in the General Two Higgs Doublet Model

A.G. Akeroyd, A. Arhrib and E.-M. Naimi,Note on tree level unitarity in the general two Higgs doublet model,Phys. Lett. B490(2000) 119 [hep-ph/0006035]

work page Pith review arXiv 2000
[55]

´Swie˙ zewska,Yukawa independent constraints for two-Higgs-doublet models with a 125 GeV Higgs boson,Phys

B. ´Swie˙ zewska,Yukawa independent constraints for two-Higgs-doublet models with a 125 GeV Higgs boson,Phys. Rev. D88(2013) 055027 [1209.5725]. – 13 –

work page arXiv 2013
[56]

Gustafsson,The Inert Doublet Model and Its Phenomenology,PoSCHARGED2010(2010) 030 [1106.1719]

M. Gustafsson,The Inert Doublet Model and Its Phenomenology,PoSCHARGED2010(2010) 030 [1106.1719]

work page arXiv 2010
[57]

Gustafsson, S

M. Gustafsson, S. Rydbeck, L. Lopez-Honorez and E. Lundstrom,Status of the Inert Doublet Model and the Role of multileptons at the LHC,Phys. Rev. D86(2012) 075019 [1206.6316]

work page arXiv 2012
[58]

Modak and D

K.P. Modak and D. Majumdar,Confronting Galactic and Extragalacticγ-rays Observed by Fermi-lat With Annihilating Dark Matter in an Inert Higgs Doublet Model,Astrophys. J. Suppl.219(2015) 37 [1502.05682]

work page arXiv 2015
[59]

2HDMC - Two-Higgs-Doublet Model Calculator

D. Eriksson, J. Rathsman and O. Stal,2HDMC: Two-Higgs-Doublet Model Calculator Physics and Manual,Comput. Phys. Commun.181(2010) 189 [0902.0851]

work page Pith review arXiv 2010
[60]

Evolution of Universe to the present inert phase

I.F. Ginzburg, K.A. Kanishev, M. Krawczyk and D. Sokolowska,Evolution of Universe to the present inert phase,Phys. Rev. D82(2010) 123533 [1009.4593]. [63]ATLAS, CMScollaboration,Combined Measurement of the Higgs Boson Mass inppCollisions at√s= 7and 8 TeV with the ATLAS and CMS Experiments,Phys. Rev. Lett.114(2015) 191803 [1503.07589]. [64]CMScollaboration...

work page Pith review arXiv 2010
[61]

Altarelli and R

G. Altarelli and R. Barbieri,Vacuum polarization effects of new physics on electroweak processes, Phys. Lett. B253(1991) 161

work page 1991
[62]

Peskin and T

M.E. Peskin and T. Takeuchi,A New constraint on a strongly interacting Higgs sector,Phys. Rev. Lett.65(1990) 964

work page 1990
[63]

Peskin and T

M.E. Peskin and T. Takeuchi,Estimation of oblique electroweak corrections,Phys. Rev. D46(1992) 381

work page 1992
[64]

Beyond S, T and U

I. Maksymyk, C.P. Burgess and D. London,Beyond S, T and U,Phys. Rev. D50(1994) 529 [hep-ph/9306267]. [70]Gfitter Groupcollaboration,The global electroweak fit at NNLO and prospects for the LHC and ILC,Eur. Phys. J. C74(2014) 3046 [1407.3792]

work page Pith review arXiv 1994
[65]

HiggsBounds: Confronting Arbitrary Higgs Sectors with Exclusion Bounds from LEP and the Tevatron

P. Bechtle, O. Brein, S. Heinemeyer, G. Weiglein and K.E. Williams,HiggsBounds: Confronting Arbitrary Higgs Sectors with Exclusion Bounds from LEP and the Tevatron,Comput. Phys. Commun.181(2010) 138 [0811.4169]

work page Pith review arXiv 2010
[66]

HiggsBounds 2.0.0: Confronting Neutral and Charged Higgs Sector Predictions with Exclusion Bounds from LEP and the Tevatron

P. Bechtle, O. Brein, S. Heinemeyer, G. Weiglein and K.E. Williams,HiggsBounds 2.0.0: Confronting Neutral and Charged Higgs Sector Predictions with Exclusion Bounds from LEP and the Tevatron,Comput. Phys. Commun.182(2011) 2605 [1102.1898]

work page Pith review arXiv 2011
[67]

HiggsBounds-4: Improved Tests of Extended Higgs Sectors against Exclusion Bounds from LEP, the Tevatron and the LHC

P. Bechtle, O. Brein, S. Heinemeyer, O. St˚ al, T. Stefaniak, G. Weiglein et al.,HiggsBounds−4: Improved Tests of Extended Higgs Sectors against Exclusion Bounds from LEP, the Tevatron and the LHC,Eur. Phys. J. C74(2014) 2693 [1311.0055]

work page Pith review arXiv 2014
[68]

Bechtle, S

P. Bechtle, S. Heinemeyer, O. St˚ al, T. Stefaniak and G. Weiglein,HiggsSignals: Confronting arbitrary Higgs sectors with measurements at the Tevatron and the LHC,Eur. Phys. J. C74(2014) 2711 [1305.1933]. [75]Particle Data Groupcollaboration,Review of particle physics,Phys. Rev. D110(2024) 030001

work page arXiv 2014
[69]

Espirito Santo, K

M. Espirito Santo, K. Hultqvist, P. Johansson and A. Lipniacka,Search for neutralino pair production at s**(1/2) from 192-GeV to 208-GeV,

work page
[70]

Gelmini, P

G. Gelmini, P. Gondolo, A. Soldatenko and C.E. Yaguna,The Effect of a late decaying scalar on the neutralino relic density,Phys. Rev. D74(2006) 083514 [hep-ph/0605016]. – 14 –

work page arXiv 2006
[71]

Cline and Y

J.M. Cline and Y. Xu,Sterile Neutrino Dark Matter as a Probe of Inflationary Reheating, 2601.03346

work page arXiv
[72]

FeynRules 2.0 - A complete toolbox for tree-level phenomenology

A. Alloul, N.D. Christensen, C. Degrande, C. Duhr and B. Fuks,FeynRules 2.0 - A complete toolbox for tree-level phenomenology,Comput. Phys. Commun.185(2014) 2250 [1310.1921]

work page Pith review arXiv 2014
[73]

Alguero, G

G. Alguero, G. Belanger, F. Boudjema, S. Chakraborti, A. Goudelis, S. Kraml et al.,micrOMEGAs 6.0: N-component dark matter,Comput. Phys. Commun.299(2024) 109133 [2312.14894]

work page arXiv 2024
[74]

Heisig, S

J. Heisig, S. Kraml and A. Lessa,Constraining new physics with searches for long-lived particles: Implementation into SModelS,Phys. Lett. B788(2019) 87 [1808.05229]

work page arXiv 2019
[75]

Alguero, J

G. Alguero, J. Heisig, C.K. Khosa, S. Kraml, S. Kulkarni, A. Lessa et al.,Constraining new physics with SModelS version 2,JHEP08(2022) 068 [2112.00769]. [83]LZcollaboration,Dark Matter Search Results from 4.2 Tonne-Years of Exposure of the LUX-ZEPLIN (LZ) Experiment,Phys. Rev. Lett.135(2025) 011802 [2410.17036]

work page arXiv 2022
[76]

Chanda, J

P. Chanda, J. Scholtz and J. Unwin,Improved constraints on dark matter annihilations around primordial black holes,JHEP07(2024) 273 [2209.07541]. [85]Fermi-LATcollaboration,Fermipy: An open-source Python package for analysis of Fermi-LAT Data,PoSICRC2017(2018) 824 [1707.09551]

work page arXiv 2024
[77]

Cirelli, G

M. Cirelli, G. Corcella, A. Hektor, G. Hutsi, M. Kadastik, P. Panci et al.,PPPC 4 DM ID: A Poor Particle Physicist Cookbook for Dark Matter Indirect Detection,JCAP03(2011) 051 [1012.4515]. – 15 –

work page arXiv 2011