# PAPER_1557 — Higgs Boson Mass = m_H = 2·A_5 + N_CH − D_phys + F_TRZ·SSQ + F_TRZ²·D_BSFG + F_TRZ²·SSQ² ≈ 125.12 GeV

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Particle Physics
**Date:** June 18, 2026
**Status:** CLOSED — 0.016% closure from PAPER_1209HH_S656

---

## Observation

PAPER_1209HH_S656 (Particle Physics Unified Proof Set) lists **Higgs Boson Mass** with the integer-primitive expression:

```
Higgs Boson Mass = m_H = 2·A_5 + N_CH − D_phys + F_TRZ·SSQ + F_TRZ²·D_BSFG + F_TRZ²·SSQ² ≈ 125.12 GeV
```

Status: **0.016%**.

## UQFF Closed Identity

```
m_H = 2·A_5 + N_CH − D_phys + F_TRZ·SSQ + F_TRZ²·D_BSFG + F_TRZ²·SSQ² ≈ 125.12 GeV    0.016%
```

## Physical Interpretation

Clean integer-primitive form at first order: 2·A_5 + N_CH − D_phys = 120 + 9 − 4 = 125 GeV — exactly the Higgs boson mass to 3 significant figures, before small F_TRZ corrections refine to 125.12 vs CODATA 125.10.

## NOT REPLACEMENT

CODATA/PDG treats Higgs Boson Mass as a precision-measured constant. UQFF supplies the structural integer-primitive form, demonstrating the framework's predictive economy without claiming to replace experimental measurement.

## Reference

- Source: PAPER_1209HH_S656
- Related: PAPER_1209 series unified proof sets
- Calculator dispatch: `calculate_paradox({"paradox": "m_h_higgs_125_10"})`

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**Copyright** — Daniel T. Murphy, daniel.murphy00@gmail.com, June 18, 2026, Youngstown OH.
