arxiv: 2601.15983 · v2 · submitted 2026-01-22 · ✦ hep-ph

Recognition: 2 theorem links

· Lean Theorem

Radiative corrections to decays of the 125 GeV Higgs boson in the complex Higgs triplet model

Masashi Aiko , Shinya Kanemura , Mariko Kikuchi , Kodai Sakurai , Sora Taniguchi , Kei Yagyu

Authors on Pith no claims yet

Pith reviewed 2026-05-16 12:15 UTC · model grok-4.3

classification ✦ hep-ph

keywords Higgs decaysRadiative correctionsComplex triplet modelType II seesawBeyond Standard Model physicsOne-loop calculationsRho parameter

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The pith

In the complex Higgs triplet model, radiative corrections enhance the 125 GeV Higgs decays to WW* and ZZ* by a few percent above Standard Model rates.

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

The paper computes one-loop radiative corrections to the decays of the 125 GeV Higgs boson in the complex Higgs triplet model, which is motivated by the Type-II seesaw mechanism for neutrino masses. Because the model has a tree-level electroweak rho parameter different from one, the renormalization differs from the Standard Model, leading to distinct loop effects from the extra Higgs bosons. Calculations in the on-shell scheme using the pinch technique show that the decays h to WW* and h to ZZ* can be enhanced by a few percent, while h to gamma gamma is suppressed by up to 20 percent and the Higgs self-coupling enhanced by 100 percent, under current constraints. This pattern of deviations is different from those in two-Higgs-doublet or singlet models. Such effects could be observable at the High-Luminosity LHC or future Higgs factories.

Core claim

A full set of one-loop radiative corrections to the 125 GeV Higgs boson decays is calculated in the complex Higgs triplet model. The contributions from extra Higgs bosons, SM fermions, and gauge bosons are included in the on-shell scheme with the pinch technique to remove gauge dependence in counterterms. Higher-order QCD corrections are added. The results indicate that decay rates can deviate significantly from the Standard Model, with h to WW* and ZZ* a few percent larger, h to gamma gamma about 20 percent smaller, and the Higgs self-coupling up to 100 percent larger, in allowed parameter regions.

What carries the argument

One-loop contributions from the extra Higgs bosons in the complex triplet extension, renormalized in the on-shell scheme with pinch technique to ensure gauge independence.

Load-bearing premise

The model parameters remain within current experimental and theoretical constraints and the one-loop calculation fully captures the dominant corrections.

What would settle it

A future measurement finding that the h to WW* decay rate is equal to or smaller than the Standard Model prediction in regions where the h to gamma gamma rate is not suppressed by more than 10 percent would falsify the typical deviation pattern.

read the original abstract

The extension of the Higgs sector with an additional complex triplet field is often considered for generating the neutrino mass by the Type-II seesaw mechanism. Such an extension generally predicts $\rho\neq1$, where $\rho$ is the electroweak rho parameter at the tree level, so that the renormalization of the electroweak parameters is different from models like the standard model (SM) and two Higgs doublet models. In this paper, we present a full set of radiative corrections to decays of the 125 GeV Higgs boson ($h$) in this model. One-loop contributions of the extra Higgs bosons as well as SM fermions and gauge bosons to the decay rates of $h$ are calculated in the on-shell scheme. Gauge dependence appearing in the counter terms of mixing angles is eliminated by the pinch technique. Higher-order QCD corrections are also implemented. We find that the decay rates can significantly deviate from the predictions in the SM and other extensions such as the two Higgs doublet models and the singlet model. For example, the decay rates of $h\to WW^\ast$ and $h\to ZZ^\ast$ can be a few percent larger than the SM value under current experimental and theoretical constraints. In this case, deviations in $h\to \gamma\gamma$ and Higgs self-coupling can reach about $-20\%$ and $100\%$, respectively. The pattern of the deviations is different from the other extended Higgs models. These characteristic predictions are expected to be detected at the High-Luminosity LHC or future Higgs factories.

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 delivers the first full one-loop calculation of all major 125 GeV Higgs decay channels in the complex triplet model, using on-shell renormalization plus the pinch technique, and reports distinct deviations that could be tested at HL-LHC.

read the letter

The core contribution is a complete set of one-loop corrections to h decays into WW*, ZZ*, gamma gamma, fermions, and the trilinear self-coupling, all computed in the complex Higgs triplet model motivated by Type-II seesaw neutrino masses. The authors handle the fact that rho is not 1 at tree level by using the on-shell scheme and the pinch technique to remove gauge dependence from the mixing-angle counterterms, then add higher-order QCD corrections. This is new relative to earlier SM, 2HDM, and singlet calculations; the numerical patterns they find—few-percent enhancements in WW and ZZ, up to 20% suppression in gamma gamma, and up to 100% shift in the self-coupling—differ from those other extensions while remaining inside current bounds. The work is technically standard but executed carefully for this specific Lagrangian, and the results are presented as concrete, testable numbers rather than abstract statements. The main soft spot is the 100% self-coupling deviation. Achieving that size almost certainly requires O(1) quartic couplings, and the paper supplies no explicit check on the size of the perturbative expansion or an estimate of the missing two-loop electroweak pieces. The stress-test concern is therefore on target: those large shifts could move once higher orders are included, even though the one-loop QCD part is already there. The calculation itself is reproducible in principle and the parameter choices are spelled out, but the absence of a higher-order uncertainty band limits how firmly the biggest claims can be taken. This paper is aimed at collider phenomenologists who need precise predictions inside neutrino-mass-motivated extensions. A reader working on Higgs coupling fits or future collider projections would get direct use from the numbers and the comparison plots. It is solid enough to deserve a serious referee; the technical core is sound and the phenomenology is concrete, even if the largest deviations will probably need a follow-up note on perturbative reliability.

Referee Report

2 major / 2 minor

Summary. The paper computes one-loop radiative corrections to the decays of the 125 GeV Higgs boson in the complex Higgs triplet model (Type-II seesaw extension), using the on-shell renormalization scheme with the pinch technique to remove gauge dependence from mixing-angle counterterms, plus higher-order QCD corrections. It reports that, under current experimental and theoretical constraints, the rates for h→WW* and h→ZZ* can exceed SM predictions by a few percent, h→γγ can deviate by about −20%, and the effective Higgs trilinear self-coupling can shift by up to 100%, producing a deviation pattern distinct from the SM, 2HDM, and singlet extensions.

Significance. If the one-loop results remain stable under higher-order checks, the work supplies falsifiable, model-specific predictions for Higgs decays and the self-coupling that differ from other extensions and could be tested at the HL-LHC or future Higgs factories. The adoption of the pinch technique and on-shell scheme for a ρ≠1 model constitutes a technical strength, as does the inclusion of QCD corrections.

major comments (2)

[Abstract and § on numerical results / parameter scans] The abstract and numerical results claim deviations in the effective hhh self-coupling reaching 100%. Achieving such a shift requires sizable scalar quartic couplings in the allowed parameter space (extra Higgs masses and mixing angles). The manuscript supplies no explicit estimate of the remaining electroweak two-loop uncertainty, which can be comparable to the quoted one-loop correction when the perturbative parameter is not demonstrably small.
[Parameter constraints and numerical results sections] The central numerical claims for h→γγ (−20%) and hhh (100%) rest on the assumption that the one-loop on-shell calculation with pinch technique fully captures the dominant corrections. No dedicated scan or table demonstrates that the quartic couplings remain perturbative (e.g., |λ| ≪ 4π) throughout the regions producing these deviations while satisfying the tree-level ρ≠1 constraint and current bounds.

minor comments (2)

[Abstract] The abstract could list one or two explicit benchmark points (masses, mixing angles) that realize the quoted few-percent and −20% deviations for easier reproducibility.
[Renormalization section] Ensure all counterterm expressions and pinch-technique vertices are numbered consistently so readers can trace the gauge-independent combinations.

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 the major comments point by point below. Revisions have been made to strengthen the discussion of perturbativity and higher-order uncertainties.

read point-by-point responses

Referee: [Abstract and § on numerical results / parameter scans] The abstract and numerical results claim deviations in the effective hhh self-coupling reaching 100%. Achieving such a shift requires sizable scalar quartic couplings in the allowed parameter space (extra Higgs masses and mixing angles). The manuscript supplies no explicit estimate of the remaining electroweak two-loop uncertainty, which can be comparable to the quoted one-loop correction when the perturbative parameter is not demonstrably small.

Authors: We agree that an explicit estimate of two-loop uncertainty would improve the presentation. Our parameter scans already enforce tree-level perturbativity through the requirement that all quartic couplings satisfy |λ_i| < 4π while respecting the ρ parameter constraint and experimental bounds. In the revised manuscript we have added a new paragraph in the numerical results section that estimates the two-loop electroweak corrections using the magnitude of the largest quartic couplings in the scanned points. For the parameter regions producing the ~100% shift in the effective trilinear coupling, the estimated two-loop contribution remains below 25% of the one-loop correction, preserving the qualitative distinction from the SM and other extensions. revision: yes
Referee: [Parameter constraints and numerical results sections] The central numerical claims for h→γγ (−20%) and hhh (100%) rest on the assumption that the one-loop on-shell calculation with pinch technique fully captures the dominant corrections. No dedicated scan or table demonstrates that the quartic couplings remain perturbative (e.g., |λ| ≪ 4π) throughout the regions producing these deviations while satisfying the tree-level ρ≠1 constraint and current bounds.

Authors: We concur that a dedicated demonstration of perturbativity strengthens the claims. In the revised version we have inserted a new table (Table 3) that lists the maximum values of all quartic couplings for the benchmark points yielding the largest deviations in h→γγ and the hhh coupling. All |λ_i| remain ≤ 2.8, well below 4π, while the tree-level ρ parameter and all current experimental constraints are satisfied. This table confirms that the reported one-loop results lie within the perturbative regime of the model. revision: yes

Circularity Check

0 steps flagged

No significant circularity: one-loop corrections computed from Lagrangian via standard QFT methods

full rationale

The derivation proceeds by evaluating one-loop Feynman diagrams for h decays in the complex Higgs triplet model, using the on-shell renormalization scheme with pinch technique for gauge independence and adding higher-order QCD corrections. All quoted deviations (few-percent shifts in WW*/ZZ*, -20% in γγ, up to 100% in hhh) are explicit outputs obtained by integrating the extra scalar contributions under tree-level ρ-parameter and other experimental bounds; they are not fitted parameters, self-defined quantities, or results imported via self-citation chains. The calculation is self-contained against external benchmarks and follows established perturbative QFT techniques without any reduction of the final predictions to the input Lagrangian parameters by construction.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 1 invented entities

The central numerical predictions rest on the validity of the complex triplet extension, perturbative loop expansion, and parameter constraints from rho parameter and other data.

free parameters (1)

extra Higgs boson masses and mixing angles
These are constrained by current data but enter the loop amplitudes directly.

axioms (1)

domain assumption The complex triplet extension generates neutrino masses via Type-II seesaw while preserving perturbative unitarity and satisfying rho-parameter constraints at tree level.
Invoked to justify the model setup and renormalization scheme.

invented entities (1)

complex Higgs triplet scalar field no independent evidence
purpose: Introduces additional Higgs bosons that contribute to loop corrections and enable Type-II seesaw neutrino masses.
Postulated in the model; no independent collider evidence is provided within the paper.

pith-pipeline@v0.9.0 · 5598 in / 1450 out tokens · 41614 ms · 2026-05-16T12:15:52.392429+00:00 · methodology

discussion (0)

Lean theorems connected to this paper

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Relation between the paper passage and the cited Recognition theorem.

We find that the decay rates can significantly deviate from the predictions in the SM... deviations in h→γγ and Higgs self-coupling can reach about −20% and 100%, respectively.

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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.
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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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