ConstantID

W to Z mass ratio

Atomic & nuclearMeasured

mW/mZ = 0.881 45(13)

Value
0.881 45
Standard uncertainty
1.3 × 10−4
Relative uncertainty
1.5 × 10−4 (147 parts per million)
Status
Measured
Symbol
mW/mZ
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# W to Z mass ratio, CODATA 2022 (NIST)
w_to_z_mass_ratio = 8.8145e-1  # standard uncertainty 0.00013

# SciPy: scipy.constants.physical_constants['W to Z mass ratio']

What it is

The ratio of the masses of the W and Z bosons, which carry the weak force. It defines the on-shell weak mixing angle.

How the value changed, 1998–2022

Each point is one CODATA adjustment, plotted as its difference from the 2022 value; the bars show one standard uncertainty (an arrowhead means the bar runs off the chart).

W to Z mass ratio: CODATA values 1998–2022 relative to the 2022 value, in parts per million, with one-standard-uncertainty bars−400−2000+200+400parts per million1998200220062010201420182022

Relative uncertainty

W to Z mass ratio: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻⁵10⁻⁴10⁻³1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20220.881 45(13)1.5 × 10−4 −0.5 σ of 2018
20180.881 53(17)1.9 × 10−4

“Change from previous” is the shift in the value divided by the standard uncertainty of the previous adjustment. Earlier values are converted into the current unit where NIST changed it (for example J s to J Hz⁻¹).

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