---
{
  "id": "ASD-EXP-TESTS-MUON-SURVIVAL-EN",
  "path": "/en/tests/muon-survival",
  "title": "Muon Survival and Flux Workbench",
  "title_en": "Muon Survival and Flux Workbench",
  "category": "Experimental Program",
  "summary": "P2 · ASD-PRED-002. Connect production, path, decay and acceptance to counts, keeping the ASD statistical mapping open.",
  "template": "test",
  "version": "1.0.0",
  "updated": "2026-09-22",
  "date_published": "2026-09-22",
  "canonical": false,
  "source_tier": "published",
  "theory_status": "OPEN",
  "evidence_status": "UNTESTED",
  "locale": "en",
  "module_key": "experimental-program",
  "module_navigation": [
    {
      "path": "/en/tests",
      "label": "Program",
      "en": "Program"
    },
    {
      "path": "/en/tests/predictions",
      "label": "Registry",
      "en": "Registry"
    },
    {
      "path": "/en/tests/falsification",
      "label": "Falsification",
      "en": "Falsification"
    },
    {
      "path": "/en/tests/priority-experiments",
      "label": "Priorities",
      "en": "Priorities"
    },
    {
      "path": "/en/tests/reproducibility",
      "label": "Reproducibility",
      "en": "Reproducibility"
    }
  ],
  "canonical_scope": "Experimental program; not a new canonical physical result",
  "source_chapter": "Existing canonical module snapshots / 现有正式模块快照",
  "source_reference": "Predictions & Falsification v1.0 · review 2026-09-22",
  "source_version": "EXP-7ca61744dcd2",
  "source_sha256": "7ca61744dcd2129e7fcd6902223c71166f3ededeb84b599d544cb20dba88130a",
  "source_kind": "manifest",
  "source_manifest": "predictions-source-manifest.json",
  "source_manifest_url": "/downloads/ASD_Predictions_Source_Manifest.json",
  "last_reviewed": "2026-09-22",
  "depends_on": [
    "/en/theory/lve/tests",
    "/open-problems/lve-muon-decay"
  ],
  "related": [
    "/en/tests",
    "/en/tests/predictions",
    "/en/tests/falsification",
    "/en/tests/priority-experiments",
    "/en/tests/reproducibility"
  ],
  "open_problems": [],
  "equations": [
    "lve-process",
    "lve-muon"
  ],
  "sources": [
    {
      "label": "Predictions source and scope manifest",
      "kind": "research-program",
      "url": "/downloads/ASD_Predictions_Source_Manifest.json"
    },
    {
      "label": "Ota et al. (2022), Nature Physics 18, 1436–1440",
      "url": "https://www.nature.com/articles/s41567-022-01767-w",
      "kind": "external-reference"
    },
    {
      "label": "PDG (2024), Cosmic Rays review",
      "url": "https://pdg.lbl.gov/2024/reviews/rpp2024-rev-cosmic-rays.pdf",
      "kind": "external-reference"
    },
    {
      "label": "Wolf et al. (2006), Cold Atom Clock Test of Lorentz Invariance in the Matter Sector",
      "url": "https://arxiv.org/abs/hep-ph/0601024",
      "kind": "external-reference"
    },
    {
      "label": "BACON Collaboration (2021), optical frequency ratio network",
      "url": "https://www.nist.gov/publications/frequency-ratio-measurements-18-digit-accuracy-using-network-optical-clocks",
      "kind": "external-reference"
    },
    {
      "label": "PDG 2024 muon listing",
      "url": "https://pdg.lbl.gov/2024/listings/rpp2024-list-muon.pdf",
      "kind": "external-reference"
    }
  ],
  "outline": [
    "The actual count model",
    "Existing LVE content and the gap",
    "Data selection and errors",
    "Discrimination and the next deliverable"
  ],
  "seo_title": "Muon Survival and Flux Workbench | ASD Predictions & Falsification v1.0",
  "canonical_url": "https://asd-physics.org/en/tests/muon-survival",
  "translation_path": "/tests/muon-survival",
  "mathematical_review": "INCOMPLETE",
  "evidence_note": "No closed quantitative discriminator; planning/comparison only.",
  "translation_of": "/tests/muon-survival",
  "translation_version": "1.0.0"
}
---
<MuonWorkbench />

## The actual count model

A device prediction must be calculated by bin:

$$N_i=T\int dE\,d\Omega\,dh\;\Phi_0(E,\Omega,h)\,P(E,\Omega,h)\,A_{\rm eff}(E,\Omega,h)\,R_i(E,\Omega,h)+B_i.$$

Here $\Phi_0$ is production, $A_{\rm eff}$ includes geometry and efficiency, $R_i$ reconstruction migration and $B_i$ background. With energy loss, the comparison survival law uses transported $\beta(s),\gamma(s)$: $P_{\rm SR}=\exp[-\int ds/(\beta\gamma c\tau_\mu)]$. ASD must independently derive its decay law; a path factor cannot simply be inserted into the exponential.

## Existing LVE content and the gap

<Equation name="lve-process" />
<Equation name="lve-muon" />

The example gives $L/L'=\gamma(1+\beta)$. Whether $L'$ denotes a single event, a mean or a lifetime-related path remains to be fixed. Without aligned statistics, it is premature to claim a different survival prediction. The original matrix's TENSION status is retained.

## Data selection and errors

The [PDG 2024 cosmic-ray review](https://pdg.lbl.gov/2024/reviews/rpp2024-rev-cosmic-rays.pdf) supplies measurement and transport references; it is not a curated event input for this apparatus. Prefer tables with defined momentum/angle, exposure, efficiency and systematics. Ground spectra cannot directly substitute for undecayed production spectra. Reproduce the comparison model before adding ASD.

The workbench uses reference inputs $m_\mu c^2=0.1056583755\,\mathrm{GeV}$ and $\tau_\mu=2.1969811\,\mu\mathrm s$, not ASD outputs. Its constant-energy, single-height curve is an algebraic baseline. The kit also provides a binned acceptance-folding example, explicitly using synthetic inputs.

## Discrimination and the next deliverable

Release bin residuals and a shared likelihood; propagate production, atmosphere, energy-loss and acceptance uncertainties. Freely normalizing every bin can destroy identifiability. The next deliverable is a statistical definition of L′, an ASD hazard law and one traceable dataset; see [OP-LVE-01](/open-problems/lve-muon-decay).


Reference constants: [PDG 2024 muon](https://pdg.lbl.gov/2024/listings/rpp2024-list-muon.pdf).