\[M_W=\frac{gv}{2}\]
Variables
MW[M_W]W boson mass
gweak coupling constant
vHiggs vacuum expectation value
Description
What is this formula?
The W boson mass relation connects the mass of the W boson with the weak coupling constant and the Higgs vacuum expectation value in the Standard Model.
When to use it
Use this formula in electroweak theory, Standard Model calculations, Higgs mechanism analysis, and gauge boson mass generation.
Example
Using:
g = 0.653
v = 246 GeV
Formula:
MW = (g*v)/2
Substitution:
MW = (0.653*246)/2
Result:
MW ≈ 80.3 GeV
The W boson mass is approximately 80.3 GeV.
Applications
Electroweak theory, Standard Model parameter calculations, Higgs mechanism studies, collider physics, and gauge boson analysis.