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NP-03 · August 19, 2026

PSN-v2 Split-Spectrum Gauge Running

A frozen three-threshold one-loop forecast predicts the electromagnetic running curve, a characteristic kink pattern, and an exact D/S-label cancellation in αem and α3.

Aug. 19 prediction recordReproduce

Frozen thresholds

The PSN-v2 chain predicts a three-step TeV-scale running signature.

Threshold 1

1.816117 TeV

Lower split-spectrum threshold.

Threshold 2

2.568378 TeV

Central PSN-v2 scale T.

Threshold 3

3.632235 TeV

Upper split-spectrum threshold.

NP-03 verdict: PASS as a downstream one-loop prediction of the frozen Aug. 18 PSN-v2 chain. It is not an independent re-derivation of the upstream MZ normalization.

Electromagnetic running

Frozen αem−1(μ) checkpoints.

Scale μαem−1(μ)Role
250 GeV127.529077Below split thresholds
1 TeV126.720080Pre-threshold forecast
2 TeV126.274648Between thresholds 1 and T
2.568378 TeV126.022525At T
3 TeV125.791779Between T and upper threshold
3.632235 TeV125.507708Upper threshold
10 TeV123.573523Full-spectrum running
100 TeV119.175910High-scale forecast

Kink signature

The prediction is not only the values—it is the slope changes.

Piecewise slopes
dαem−1/d ln μ−0.583568 → −1.007981 → −1.485446 → −1.909859

The four segments correspond to Bem = 11/3, 19/3, 28/3, and 12.

Threshold jumps
Δ slope−0.424413 · −0.477465 · −0.424413

The first and third jumps are exactly equal in the frozen one-loop construction.

Exact one-loop invariance

The unresolved D/S label swap drops out of αem and α3.

Bem = (5/3)b1 + b2Doublet weight: (5/3)(2/5) + 2 = 8/3Singlet weight: (5/3)(8/5) + 0 = 8/3

The two unresolved sfermion assignments also each contribute Δb3=1, so the one-loop α3 forecast is swap-invariant as well.

Weak-angle boundary

The weak angle does not share that invariance.

At 3 TeV: 0.247996–0.249266

At 10 TeV: 0.250897–0.252683

At 100 TeV: 0.257080–0.258932

The discrete two-branch envelope is retained rather than choosing the unresolved D/S identity by hand.

Reproducibility path

Every published number is frozen inside the verified bundle.

python -m harness.run_all_gates
Bundle paths:
research/new_predictions/reproduce_new_predictions.py
research/new_predictions/support/UTFANSWF_PSN_V2_SPLIT_SPECTRUM_ALPHA_RUNNING_FROZEN_2026-08-19.json
research/new_predictions/support/UTFANSWF_PSN_V2_GAUGE_KINK_SIGNATURE_FROZEN_2026-08-19.json
results/new_predictions/result.json
Download verified bundleBack to prediction table