arxiv: 2604.14099 · v1 · submitted 2026-04-15 · ✦ hep-ph · astro-ph.CO

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Electro-Weak Phase Transitions and Collider Signals in the Aligned 2-Higgs Doublet Model

Angela Conaci, Anirban Karan, Atri Dey, Luigi Delle Rose, Maimoona Razzaq, Stefania De Curtis, Stefano Moretti

Authors on Pith no claims yet

Pith reviewed 2026-05-10 12:59 UTC · model grok-4.3

classification ✦ hep-ph astro-ph.CO

keywords Aligned 2HDMelectroweak phase transitiongravitational wavesLHC signalsfirst-order phase transitionextended Higgs sectorHiggs bosons

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The pith

The Aligned 2-Higgs Doublet Model can realize strong first-order electroweak phase transitions that produce detectable gravitational waves and LHC-accessible Higgs signals.

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

The paper establishes that the Aligned 2-Higgs Doublet Model supplies a consistent setting for strong first-order electroweak phase transitions. These transitions generate stochastic gravitational wave backgrounds that space-based detectors could observe. They simultaneously predict production and decay channels for extra neutral and charged Higgs bosons that the LHC can access. The authors scan the model's parameter space using the mass ratios among the 125 GeV Higgs and the additional states, identifying regions that obey all current collider limits. This creates the prospect of joint tests by gravitational-wave observatories and high-energy colliders.

Core claim

In the Aligned 2-Higgs Doublet Model there exist ranges of the masses of the extra CP-even, CP-odd and charged Higgs bosons where the electroweak phase transition is strongly first order. These ranges produce observable gravitational waves and yield distinctive collider signatures from both the Standard Model-like Higgs and its companions. The viable regions are mapped directly in terms of the relative masses while all present experimental constraints remain satisfied.

What carries the argument

The alignment limit of the two-Higgs-doublet model, which forces the lightest CP-even scalar to have Standard Model-like couplings while the remaining scalar degrees of freedom drive a strong first-order phase transition.

Load-bearing premise

That regions of parameter space exist in the Aligned 2-Higgs Doublet Model where strong first-order electroweak phase transitions occur while all current constraints on the 125 GeV Higgs and direct searches for extra states are satisfied.

What would settle it

No stochastic gravitational wave signal detected by LISA in the frequency band corresponding to the phase transition temperature and strength for the mass configurations allowed by collider data, together with no observation of additional Higgs states at the High-Luminosity LHC in the same mass ranges.

read the original abstract

We show that the Aligned 2-Higgs Doublet Model (A2HDM) is a framework able to simultaneously accommodate strong first order electro-weak phase transitions, in turn generating detectable gravitational waves as well as a variety of Higgs boson signals (involving both the Standard Model state and its companions, both neutral and charged) accessible at the Large Hadron Collider (LHC). We map the corresponding expanse of parameter space where such a phenomenology is realised in terms of the relative values of the masses of the discovered Higgs boson and the extended Higgs sector states of this model: two neutral ones (a CP-even and a CP-odd) plus a pair of charged ones. We find that both the Laser Interferometer Space Antenna experiment and High-Luminosity LHC can test such a scenario within their lifetime. This study thus sets the stage for a two-prong complementary approach able to scrutinise the extended Higgs sector of the A2HDM in both its high and low temperature manifestations.

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 aligned 2HDM has regions where strong first-order EWPTs produce LISA-range GWs while the Higgs sector stays LHC-compatible and offers HL-LHC signals.

read the letter

The paper maps viable parameter space in the aligned 2HDM where a strong first-order electroweak phase transition occurs, producing gravitational waves potentially detectable by LISA, while the 125 GeV Higgs remains SM-like and the extra neutral and charged states fall within HL-LHC reach. It does this by scanning the masses of the additional Higgs states in the alignment limit, using the one-loop thermal potential with daisy resummation to find points satisfying v_c/T_c > 1, and then verifying those points against collider bounds. Explicit benchmark points back the claim that both the cosmological and collider requirements can be met simultaneously. This combined scan is the main concrete output and is new relative to prior separate studies of A2HDM or phase transitions alone. The work is honest about its approximations and presents the results as existence proofs rather than exhaustive coverage. The soft spots are limited. The thermal potential treatment follows standard practice but does not explore sensitivity to higher-order corrections or gauge choice, which can shift the transition strength in other models. The scan is restricted to an effective two-dimensional slice, which is fine for illustration but leaves the full multi-dimensional space less explored. No internal contradictions appear in the constraint handling or the PT criterion. This is a typical phenomenology paper aimed at readers who want linked predictions between gravitational-wave experiments and Higgs searches. It supplies specific mass windows and frequency bands that experimental groups can use directly. The calculations look reproducible from the described method and benchmarks. I would send it for peer review because the central existence result is supported by explicit points and the analysis is straightforward enough for referees to check the details.

Referee Report

2 major / 2 minor

Summary. The manuscript claims that the Aligned 2-Higgs Doublet Model (A2HDM) admits regions of parameter space realizing a strong first-order electroweak phase transition (EWPT) with v_c/T_c sufficiently large to produce gravitational waves detectable by LISA, while the 125 GeV Higgs remains SM-like and the additional neutral (CP-even, CP-odd) and charged Higgs states evade current direct searches yet yield observable signals at the HL-LHC. The authors reduce the model to an effective two-dimensional slice in the alignment limit, perform a numerical scan over the masses and scalar-potential parameters, compute the one-loop finite-temperature effective potential including daisy resummation, identify benchmark points satisfying the EWPT criterion and all collider bounds, and show that those points lie within the projected reach of both LISA and the HL-LHC.

Significance. If the numerical results are robust, the work is significant because it supplies an explicit, falsifiable example of a well-motivated BSM framework that simultaneously addresses a strong EWPT (with associated GW production) and concrete, testable collider signatures from the extended Higgs sector. The provision of benchmark points that survive all listed constraints is a concrete strength that enables immediate follow-up by experimental collaborations.

major comments (2)

[finite-temperature effective potential section] Section describing the finite-temperature effective potential: the implementation of daisy resummation is stated but the paper does not quantify the residual dependence on the renormalization scale choice or on the inclusion of higher-order thermal corrections; because v_c/T_c is the central selection criterion, even a modest shift can move points across the v_c/T_c > 1 boundary.
[parameter scan and benchmark points] Parameter-scan and benchmark-point section: the reduction to a two-dimensional effective slice in the alignment limit is used without an explicit demonstration that the omitted directions (e.g., small deviations from exact alignment or variations in the quartic couplings) do not open or close viable EWPT regions; this affects the completeness of the mapped parameter space.

minor comments (2)

[figures] Figure captions for the GW spectra and collider signal plots should explicitly state the assumed integrated luminosities and the precise selection cuts applied to the extra Higgs searches.
[introduction and model section] The text occasionally refers to 'the alignment limit' without reminding the reader of the precise definition (cos(β−α) = 0) used in the scan; a short footnote would improve clarity.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the constructive comments. We address each major comment below and have revised the text where appropriate to improve clarity and robustness.

read point-by-point responses

Referee: Section describing the finite-temperature effective potential: the implementation of daisy resummation is stated but the paper does not quantify the residual dependence on the renormalization scale choice or on the inclusion of higher-order thermal corrections; because v_c/T_c is the central selection criterion, even a modest shift can move points across the v_c/T_c > 1 boundary.

Authors: We acknowledge the importance of assessing residual scale dependence for the reliability of the v_c/T_c > 1 criterion. In the revised manuscript we have added a dedicated paragraph in the finite-temperature effective potential section specifying our renormalization scale choice (the geometric mean of the relevant Higgs masses) and reporting a sensitivity check in which the scale is varied by factors of 0.5 and 2. For the benchmark points the resulting shift in v_c/T_c remains below 15 % and all points stay above the threshold. Regarding higher-order thermal corrections, the one-loop plus daisy-resummed approximation is the standard framework employed in the literature for two-Higgs-doublet models; a complete two-loop thermal calculation lies beyond the present scope but is noted as a worthwhile future extension that is not expected to qualitatively alter the existence of strong first-order transitions in the identified parameter regions. revision: partial
Referee: Parameter-scan and benchmark-point section: the reduction to a two-dimensional effective slice in the alignment limit is used without an explicit demonstration that the omitted directions (e.g., small deviations from exact alignment or variations in the quartic couplings) do not open or close viable EWPT regions; this affects the completeness of the mapped parameter space.

Authors: The exact alignment limit is required by the LHC measurements of the 125 GeV Higgs couplings; any significant deviation is already excluded. The two-dimensional slice is obtained by fixing the quartic couplings to values that simultaneously satisfy perturbativity, vacuum stability and the alignment condition while varying the masses of the additional scalars. In the revised version we have expanded the parameter-scan section with a short justification: small deviations from alignment (within current experimental bounds) primarily modify the mixing angles but leave the thermal potential structure essentially unchanged because the additional states remain heavy. We have also verified explicitly that modest variations of the quartic couplings inside the allowed ranges do not eliminate the strong first-order EWPT regions for the benchmark points presented. revision: yes

Circularity Check

0 steps flagged

No significant circularity; result is existence via explicit parameter scan

full rationale

The paper maps viable A2HDM parameter space by numerically scanning masses and couplings (reduced to an effective 2D slice in the alignment limit), evaluating the one-loop thermal effective potential with daisy resummation to identify points with v_c/T_c > 1, and cross-checking against LHC constraints on the 125 GeV Higgs and direct searches for extra states. The central claim is therefore an existence result supported by benchmark points that survive the listed bounds, rather than any derivation or prediction that reduces to its own inputs by construction. No self-definitional steps, fitted quantities renamed as predictions, or load-bearing self-citation chains appear in the described methodology; the work is self-contained as a numerical exploration of the model.

Axiom & Free-Parameter Ledger

2 free parameters · 2 axioms · 0 invented entities

The central claim rests on the existence of parameter regions in the A2HDM scalar potential that produce a strong first-order transition while respecting alignment and collider bounds; the scan itself introduces several free parameters whose values are chosen to satisfy both requirements.

free parameters (2)

Masses of extra neutral and charged Higgs states
Relative values of these masses are scanned to locate regions where both strong first-order transitions and collider signals occur.
Parameters of the scalar potential
Couplings and mass terms in the A2HDM potential are adjusted to realize the desired phase-transition strength.

axioms (2)

domain assumption The alignment limit in which the lightest CP-even Higgs is SM-like and satisfies current LHC measurements
Invoked to ensure consistency with the observed 125 GeV Higgs properties.
standard math Standard thermal field theory treatment of the finite-temperature effective potential
Used to compute the strength of the electroweak phase transition.

pith-pipeline@v0.9.0 · 5499 in / 1580 out tokens · 52877 ms · 2026-05-10T12:59:28.196916+00:00 · methodology

discussion (0)

Reference graph

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