{
  "schemaVersion": 1,
  "source": "10.17182/hepdata.115022.v2/t1; correlation t5",
  "kind": "published-measurement-descriptive-shape-diagnostic",
  "model": "exp(a - n log(pT/500 GeV) + k log(pT/500 GeV)^2), bin averaged",
  "covariance": "linearized log covariance: t5 correlated combined statistical and binwise-uncorrelated-systematic component after unfolding plus signed fully correlated named source outer products within this one rapidity slice",
  "limitations": [
    "These two empirical shapes are not perturbative QCD predictions or Wilson-coefficient templates.",
    "Covariance is linearized about the published central measurement; no fitted-parameter uncertainty or predictive p-value is claimed.",
    "Held-out bins share systematic correlations with fitted bins; this is held-out-bin extrapolation, not a statistically independent validation sample.",
    "Both descriptive shapes are already inadequate in the training region at the quoted precision.",
    "Only one rapidity interval and R=0.4 are included; no cross-rapidity or theory covariance is used.",
    "Input is a published unfolded spectrum, not raw events or a fresh unfolding."
  ],
  "trainingUpperEdgeGeV": 967,
  "trainingBinCount": 12,
  "heldOutBinCount": 10,
  "binEdgesGeV": [
    [
      97.0,
      133.0
    ],
    [
      133.0,
      174.0
    ],
    [
      174.0,
      220.0
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    [
      220.0,
      272.0
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    [
      272.0,
      330.0
    ],
    [
      330.0,
      395.0
    ],
    [
      395.0,
      468.0
    ],
    [
      468.0,
      548.0
    ],
    [
      548.0,
      638.0
    ],
    [
      638.0,
      737.0
    ],
    [
      737.0,
      846.0
    ],
    [
      846.0,
      967.0
    ],
    [
      967.0,
      1101.0
    ],
    [
      1101.0,
      1248.0
    ],
    [
      1248.0,
      1410.0
    ],
    [
      1410.0,
      1588.0
    ],
    [
      1588.0,
      1784.0
    ],
    [
      1784.0,
      2000.0
    ],
    [
      2000.0,
      2238.0
    ],
    [
      2238.0,
      2500.0
    ],
    [
      2500.0,
      2787.0
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    [
      2787.0,
      3103.0
    ]
  ],
  "measuredPbPerGeV": [
    9375.9,
    2186.6,
    604.76,
    187.91,
    62.72,
    22.311,
    8.3961,
    3.2454,
    1.3009,
    0.52736,
    0.21823,
    0.091758,
    0.03788,
    0.015827,
    0.006544,
    0.0026946,
    0.0010254,
    0.00040474,
    0.0001539,
    5.2173e-05,
    1.5438e-05,
    4.728e-06
  ],
  "analyticQuadratureMaximumRelativeError": 6.661338147750939e-16,
  "versions": {
    "python": "3.9.6",
    "numpy": "2.0.2",
    "scipy": "1.13.1"
  },
  "results": {
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      "fractionalResiduals": [
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    "logCurvature": {
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      "trainingGeneralizedLeastSquares": 163.96807950005734,
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      "predictedBinAveragesPbPerGeV": [
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      ],
      "fractionalResiduals": [
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  }
}