Observable detail · SM
Up quark mass \(m_u\) (OPEN)
| Prediction / mechanism | OPEN; the canonical action does not yet derive the lightest-quark masses to PDG precision. |
|---|---|
| Measured | PDG 2024 \(m_u(2 \textrm{ GeV}) = 2.16 \pm 0.49\) MeV. |
| Residual / status | OPEN |
| Status | OPEN |
| Source paper | DCT-SM-01 |
Mechanism
First-generation up-type mass requires sub-leading polytope corrections that are still being derived.
Derivation
The derivation chain follows the cluster paper DCT-SM-01 and reduces to the canonical DCT constants (\(P_0 = 0.851\), \(\omega_0 = 50{,}037\), \(c_{BD} = 138{,}189\), master identity \(2\omega_0 + 3 = c_{BD} \cdot P_0^2 = 100{,}077\)). See the cluster paper for the full multi-line derivation.
Methodology
| Domain | Standard Model number suite (SM) |
|---|---|
| Input data source | See "References" below for the canonical public-archive citation. |
| Measurement procedure | The measured value used here is the most recent peer-reviewed central value plus 1σ uncertainty from the cited reference. |
| Acceptance threshold | HIT: residual within 1σ of measurement. SOFT: directional agreement within bracketing range. OPEN: untested or unresolved. |
| Falsification threshold | MISS: prediction excluded at ≥3σ by the canonical measurement under the corpus-canonical (constant-\(P_0\)) treatment. |
| Current status | See verdict pill above. |
Python verification
Verification script: particle_physics_tests.py. Run with python3 particle_physics_tests.py to reproduce the canonical DCT result against the public-archive measurement source listed below.
Cross-references
Related observables: down-quark-mass · strange-quark-mass.
Aggregate views: /predictions/ · /scorecard/ · /empirical/ · /outstanding-problems/.
Audit notes
This sub-page is part of the post-build-out of the observable archive (see the observable index). Verdict reflects the corpus-canonical (constant-\(P_0\)) treatment. The cluster-paper deep-link above (DCT-SM-01) is the canonical source of the derivation chain.
References
- PDG 2024 — Up quark
- Source paper: DCT-SM-01
Back to all observables or the predictions table.