a_μ · muon magnetic-moment anomaly

뮤온 이상 자기 모멘트

Takeaway

The relative standard uncertainty fell by a factor of about 756 from the 1973 to the 2022 edition (2.7×10⁻⁴ → 3.5×10⁻⁷): the error bars narrowed that much.
Of 8 earlier editions with a measured value, 2 have the 2022 value outside ±1σ (the error bar) and 1 outside ±2σ (the bar doubled); the normal expectation is about 1 in 3 and 1 in 22.
The largest move between editions came in 1998→2002, at 4.3 times the combined standard uncertainty of the two editions (|z| = 4.3).

Value ±1σ by edition2022

Relative deviation from the 2022 value (symmetric-log axis). Open circles: the error bar does not reach the 2022 value. Squares: exact.

Editionyear of the recommended values (data cut-off)	As printedexactly as in the source table; digits in parentheses are the standard uncertainty in the last digits	Standard uncertaintyhalf-width of the error bar (±1σ)	Relative standard uncertaintystandard uncertainty ÷ \|value\|: bar width relative to the value	z vs previous editionmove from the previous edition ÷ combined standard uncertainty of the two	z vs 2022(2022 value − this value) ÷ this edition's standard uncertainty	Source locationpage and table of the paper, or file and line of NIST's table
1973	1.00116616(31)	3.1×10⁻⁷	2.7×10⁻⁴		−0.7722	718 table 33.1
1986	1.1659230(84) e-3	8.4×10⁻⁹	7.2×10⁻⁶	−0.7642	−0.2833	codata86 p.9 table 2
1998	1.165 916 02(64) e-3	6.4×10⁻¹⁰	5.5×10⁻⁷	−0.8286	7.1875	1998 ASCII:196
2002	1.165 919 81(62) e-3	6.2×10⁻¹⁰	5.3×10⁻⁷	4.2533	1.3065	2002 ASCII:197
2006	1.165 920 69(60) e-3	6.0×10⁻¹⁰	5.1×10⁻⁷	1.0200	−0.1167	2006 ASCII:198
2010	1.165 920 91 e-3	6.3×10⁻¹⁰	5.4×10⁻⁷	0.2529	−0.4603	2010 ASCII:208
2014	1.165 920 89 e-3	6.3×10⁻¹⁰	5.4×10⁻⁷	−0.0224	−0.4286	2014 ASCII:208
2018	1.165 920 89 e-3	6.3×10⁻¹⁰	5.4×10⁻⁷	0.0000	−0.4286	2018 ASCII:217
2022	1.165 920 62 e-3	4.1×10⁻¹⁰	3.5×10⁻⁷	−0.3592		2022 ASCII:218