L1 ⚛ L1-487 ⊙ Testnet

Jet Reconstruction (Anti-kT)

Particle Physics · QCD jets

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⬇ L1-487.md

# ⚛ L1 Principle — Jet Reconstruction (Anti-kT) **ID:** `L1-487` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Particle Physics — *QCD jets* > **🎯 Problem class:** parameter estimation · **🧮 Solution space:** jet 4vector list > **📡 Carrier:** particle · **🌫 Noise:** pileup detector gaussian > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41555317 --- ## 🧠 1. Introduction **Jet Reconstruction (Anti-kT)** is a **parameter-estimation problem** whose unknown lives in **jet 4vector list** space, within the **QCD jets** sub-domain of **Particle Physics**. Measurements consist of particle interactions in a detector via a **sequential jet clustering** sensing mechanism. The forward operator applies, in order: S · antikt · sequential clustering operator; S · select operator; O · jet · energy scale correction operator. Observations are corrupted by pileup detector gaussian. Existence of the recovered jet_4vector_list is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by declared priors. Stability is conditionally stable (kappa_eff ~= 100); pileup_contamination_residual dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Pileup detector gaussian sets the irreducible data-fidelity floor. ## ⚙ 2. Forward Model Physical chain: **x** → S · antikt · sequential clustering → S · select → O · jet · energy scale correction → **y** (detector). ``` y = `O.jet.energy_scale_correction` `S.select` `S.antikt.sequential_clustering` x ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `S.antikt.sequential_clustering` | S · antikt · sequential clustering operator | | `S.select` | S · select operator | | `O.jet.energy_scale_correction` | O · jet · energy scale correction operator | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Particle Physics | | Sub domain | QCD jets | | Carrier | particle | | Problem class | parameter_estimation | | Solution space | jet_4vector_list | | Noise model | pileup_detector_gaussian | | Integration axis | rapidity_phi_plane | | Difficulty delta | 5 | | L dag | 3 | ## 📡 4. Measurement Model Existence of the recovered jet_4vector_list is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by declared priors. Stability is conditionally stable (kappa_eff ~= 100); pileup_contamination_residual dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Pileup detector gaussian sets the irreducible data-fidelity floor. | Metric | Value | |---|---| | Metric | jet_energy_resolution_sigma_E_over_E | | Secondary | jet_mass_RMSE_GeV | ## 📏 5. Operating Range (Ω) **Center problem class:** `parameter_estimation` · **Forward operator:** `sequential_jet_clustering` **Center point:** | Parameter | Unit | Value | |---|---|---| | Pileup mu | — | 50 | | Jet pt gev | — | 200 | | Jet radius r | — | 0.4 | | N particles per event | — | 2000 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | Pileup mu | — | 0 – 200 | | Jet pt gev | — | 30 – 5000 | | Jet radius r | — | 0.2 – 1.0 | | N particles per event | — | 100 – 10000 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 0.05 jet_energy_resolution_sigma_E_over_E | Metric | Range | |---|---| | Jet energy resolution sigma e over e | 0.02 – 0.15 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **jet_energy_resolution_sigma_E_over_E**, with κ = `1000.0` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xc80f843b96c36dfcd5bbf210445f7bb5402681f1fbe638f5ba69782ef1eb0166` - **Chain tx hash:** `0xec250d2cb078e8199e626dd1c0d0033243346ba321cc88deff4da7e3f9e9de48` - **Chain block:** `41555317` --- ## File Mapping This bundle consists of: `L1-487.md`, `L1-487.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-487.md` | Source of truth — edit this | Human or LLM | | `L1-487.json` | Structured metadata for the registry | LLM regenerates from the sections above | **Prompt for your LLM after editing this Markdown:** > Read the attached Markdown. Regenerate the sibling `.json` so every field matches. > Preserve the schema documented in the rows above. > Output each file in its own fenced code block tagged with the filename. > Output only the JSON object. _This Markdown was auto-synthesized from the catalog row for `L1-487`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-487.md).
Regenerate L1-487.json so every field matches the Markdown.
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L2-487-001 Jet Reconstruction (Anti-kT) — Nominal + Mismatch Specs

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📋 JSON metadata

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  "domain": "Particle Physics",
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    "regime": "Existence of the recovered jet_4vector_list is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by declared priors. Stability is conditionally stable (kappa_eff ~= 100); pileup_contamination_residual dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Pileup detector gaussian sets the irreducible data-fidelity floor.",
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    "noise_model": "pileup_detector_gaussian",
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    "sensing_mechanism": "sequential_jet_clustering",
    "solution_space": "jet_4vector_list",
    "sub_domain": "QCD jets",
    "title": "Jet Reconstruction (Anti-kT)"
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      "forward_operator": "sequential_jet_clustering",
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    },
    "epsilon_bounds": {
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        0.02,
        0.15
      ]
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    "omega_bounds": {
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        100,
        10000
      ],
      "jet_pt_GeV": [
        30,
        5000
      ],
      "jet_radius_R": [
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        1.0
      ],
      "pileup_mu": [
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        200
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "QCD jets",
  "title": "Jet Reconstruction (Anti-kT)"
}

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