arxiv: 2604.24383 · v1 · submitted 2026-04-27 · ✦ hep-ph · hep-ex

Recognition: unknown

Same-Sign Tetralepton Signature at μTRISTAN

Lin-Kun Yan , Zhi-Long Han , Feng-Lan Shao , Fa-Xin Yang

Authors on Pith no claims yet

Pith reviewed 2026-05-08 02:59 UTC · model grok-4.3

classification ✦ hep-ph hep-ex

keywords same-sign tetraleptonμTRISTANlow-scale seesawheavy neutral leptonneutrinophilic Higgscharged Higgsmuon collider

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The pith

The same-sign tetralepton signature from charged Higgs production can be observed at the 2 TeV μTRISTAN muon collider.

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

In a low-scale seesaw model, tiny neutrino masses arise from a Yukawa coupling of ordinary leptons to a neutrinophilic Higgs doublet with tiny vacuum expectation value and a heavy neutral lepton. At the μTRISTAN facility running in same-sign muon mode at 2 TeV, this setup allows production of charged Higgs bosons, either in pairs or singly together with the heavy lepton. Both routes decay to four same-sign muons plus four jets, and a simulation shows this final state can appear above background in accessible parts of the model's parameter space.

Core claim

The Yukawa interaction y L~Φ_ν N generates neutrino masses through the neutrinophilic Higgs doublet Φ_ν with small vev and also governs the decays of charged Higgs bosons. At the same-sign muon collider μTRISTAN, pair production μ⁺μ⁺ → H⁺H⁺ and single production μ⁺μ⁺ → μ⁺ N H⁺ both produce the tetralepton signature 4μ⁺ + 4j after H⁺ → μ⁺N and N → μ⁺jj, with simulation identifying the promising parameter region.

What carries the argument

The Yukawa interaction y between the lepton doublet, neutrinophilic Higgs doublet, and heavy neutral lepton N, which enables both neutrino mass generation and the charged Higgs decays to muon plus heavy lepton that yield the four-muon final state.

Load-bearing premise

The model parameters including Yukawa coupling strength, heavy lepton mass, and small vev produce signal rates high enough to stand out after accounting for backgrounds in the collider simulation.

What would settle it

No excess of same-sign four-muon plus jets events in the signal regions after collecting the expected luminosity at 2 TeV would rule out observable rates for the charged Higgs channels in this model.

Figures

Figures reproduced from arXiv: 2604.24383 by Fa-Xin Yang, Feng-Lan Shao, Lin-Kun Yan, Zhi-Long Han.

**Figure 1.** Figure 1: FIG. 1. Representative Feynman diagrams for pair (panel (a)) and single production (panel (b) and (c)) of charged view at source ↗

**Figure 2.** Figure 2: FIG. 2. Cross section of pair and single production of charged Higgs at view at source ↗

**Figure 3.** Figure 3: FIG. 3. The view at source ↗

read the original abstract

Naturally tiny neutrino masses can be explained by the low scale seesaw with heavy neutral lepton $N$ coupling to the neutrinophilic Higgs doublet $\Phi_\nu$, which obtains a much smaller vacuum expectation value than the standard Higgs doublet $\Phi$. Within this model, the neutrino masses originate from the new Yukawa interaction $y \overline{L}\tilde{\Phi}_\nu N$. In this paper, we propose the novel same-sign tetralepton signature at the 2 TeV same-sign muon mode $\mu^+\mu^+$ of $\mu$TRISTAN. We investigate two distinct channels of this signature, which are both generated by the Yukawa interaction $y \overline{L}\tilde{\Phi}_\nu N$. One is from the pair production of charged Higgs $\mu^+\mu^+\to H^+ H^+\to \mu^+N +\mu^+ N\to \mu^+ \mu^+ jj + \mu^+ \mu^+ jj\to 4\mu^+ + 4j$, and the other one is from the single production of charged Higgs $\mu^+\mu^+ \to \mu^+ N H^+ \to \mu^+N +\mu^+ N\to \mu^+ \mu^+ jj + \mu^+ \mu^+ jj\to 4\mu^+ + 4j$. We then perform a detailed simulation of this same-sign tetralepton signature, and obtain the promising region at $\mu$TRISTAN.

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

3 major / 2 minor

Summary. The manuscript proposes a novel same-sign tetralepton signature (4μ⁺ + 4j) at the 2 TeV μ⁺μ⁺ mode of μTRISTAN within a low-scale seesaw model featuring heavy neutral leptons N and a neutrinophilic Higgs doublet Φ_ν. The signature arises from two channels generated by the Yukawa interaction y L̃Φ_ν N: H⁺H⁺ pair production and μ⁺ N H⁺ single production, both decaying to the same final state. A detailed Monte Carlo simulation is performed to identify a promising region in the (y, m_N, v_ν) parameter space.

Significance. If the simulation results are robust, the work identifies a distinctive collider probe for low-scale neutrino mass generation mechanisms at a proposed same-sign muon collider, offering potential to test parameter space consistent with neutrino oscillation data that may be inaccessible at the LHC.

major comments (3)

[Simulation and Results] The simulation section provides no details on the Monte Carlo event generators employed, parton shower and hadronization settings, detector response modeling, or the specific SM background processes (e.g., diboson, tt̄, or QCD multijet with lepton misidentification) and their estimated rates after cuts. This information is load-bearing for the claim of a 'promising region' at μTRISTAN.
[Simulation and Results] No quantitative results are given for signal efficiencies, background rejection factors, or statistical significance (e.g., S/√B) in the identified promising region; without these, it is impossible to assess whether the region survives reasonable variations in cuts or higher-order corrections.
[Model] The neutrino mass generation formula (m_ν ∝ y² v_ν² / m_N) is stated in the model description but not used to delineate the viable parameter space shown in the promising region; it is unclear whether the quoted values simultaneously satisfy m_ν bounds and yield observable rates at 2 TeV.

minor comments (2)

[Abstract] The abstract and title refer to 'μTRISTAN' without clarifying whether this denotes the full facility or specifically the 2 TeV same-sign muon mode; a brief definition in the introduction would improve clarity.
[Introduction] Notation for the neutrinophilic Higgs vev (v_ν) and Yukawa (y) is introduced without an explicit comparison table to existing constraints from neutrino data or other colliders.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the careful reading of our manuscript and the constructive comments, which will help improve the clarity and completeness of our work. We address each major comment below and will revise the manuscript to incorporate the necessary details and constraints.

read point-by-point responses

Referee: [Simulation and Results] The simulation section provides no details on the Monte Carlo event generators employed, parton shower and hadronization settings, detector response modeling, or the specific SM background processes (e.g., diboson, tt̄, or QCD multijet with lepton misidentification) and their estimated rates after cuts. This information is load-bearing for the claim of a 'promising region' at μTRISTAN.

Authors: We agree that the simulation details were insufficiently specified. In the revised manuscript we will add a dedicated subsection describing the full Monte Carlo chain: hard-process generation with MadGraph5_aMC@NLO (LO), parton showering and hadronization with Pythia 8.3, and fast detector simulation with Delphes using a custom μTRISTAN card. We will also list the dominant SM backgrounds (ZZ, WZ, WW, tt̄, and QCD multijet with lepton misidentification), together with their leading-order cross sections and the rates surviving the selection cuts. These additions will allow readers to assess the background levels underlying the quoted promising region. revision: yes
Referee: [Simulation and Results] No quantitative results are given for signal efficiencies, background rejection factors, or statistical significance (e.g., S/√B) in the identified promising region; without these, it is impossible to assess whether the region survives reasonable variations in cuts or higher-order corrections.

Authors: We acknowledge this omission. The original text identified the promising region via event yields but did not tabulate efficiencies or significances. In the revision we will include tables (or supplementary plots) reporting signal efficiencies, background rejection factors, and the statistical significance S/√B evaluated at representative benchmark points inside the promising region. We will also discuss the stability of these figures under modest variations of the selection cuts and note that higher-order QCD and electroweak corrections are expected to be modest for this process at a 2 TeV muon collider. revision: yes
Referee: [Model] The neutrino mass generation formula (m_ν ∝ y² v_ν² / m_N) is stated in the model description but not used to delineate the viable parameter space shown in the promising region; it is unclear whether the quoted values simultaneously satisfy m_ν bounds and yield observable rates at 2 TeV.

Authors: We thank the referee for this observation. Although the seesaw formula is given, it was not explicitly applied to the displayed parameter space. In the revised version we will use the relation m_ν ≈ y² v_ν² / (2 m_N) (with the appropriate numerical prefactor from the model) to shade or overlay the sub-region of the (y, m_N, v_ν) plane that reproduces the observed neutrino mass scale (~0.05 eV). This will explicitly demonstrate the overlap between the collider-accessible promising region and the parameter space consistent with neutrino oscillation data. revision: yes

Circularity Check

0 steps flagged

No circularity; collider simulation of model signature is independent of inputs

full rationale

The paper defines a standard low-scale seesaw model with neutrinophilic Higgs doublet and Yukawa coupling y, derives the same-sign tetralepton final state from H^+ pair and single production at 2 TeV μ^+μ^+ collisions, and applies Monte Carlo simulation to extract observable parameter regions in (y, m_N, v_ν). No equation or result reduces to a self-definition, fitted parameter renamed as prediction, or self-citation chain; the simulation step uses external tools on the model's tree-level predictions and is falsifiable against detector data. The derivation chain is self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

3 free parameters · 2 axioms · 2 invented entities

The central claim rests on the low-scale seesaw construction with a new Higgs doublet and heavy lepton; these are postulated without independent evidence beyond fitting neutrino masses.

free parameters (3)

Yukawa coupling y
Determines production and decay rates; chosen to produce observable signals while satisfying neutrino mass constraints.
Heavy neutral lepton mass m_N
Free parameter scanned to find promising regions at 2 TeV.
Neutrinophilic Higgs vev v_ν
Set much smaller than electroweak scale to keep neutrino masses tiny.

axioms (2)

domain assumption Neutrino masses generated solely by the new Yukawa interaction y L̃ Φ_ν N in the low-scale seesaw
Invoked in the abstract to motivate the model; no derivation from more fundamental principles.
domain assumption Charged Higgs H⁺ decays dominantly to μ⁺ N with subsequent N → μ⁺ jj
Assumed for the tetralepton final state; branching ratios depend on unspecified parameters.

invented entities (2)

Heavy neutral lepton N no independent evidence
purpose: Mediator for neutrino mass generation via seesaw
Postulated new fermion; no independent evidence or falsifiable prediction outside the model provided in abstract.
Neutrinophilic Higgs doublet Φ_ν no independent evidence
purpose: Provides small vev for low-scale neutrino masses
New scalar doublet introduced; no collider or cosmological evidence cited.

pith-pipeline@v0.9.0 · 5574 in / 1599 out tokens · 72574 ms · 2026-05-08T02:59:37.269460+00:00 · methodology

discussion (0)

Reference graph

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