\[v=\frac{1}{\sqrt{\sqrt{2}G_F}}\]
Variables
vHiggs vacuum expectation value
GF[G_F]Fermi coupling constant
Description
What is this formula?
The Higgs vacuum expectation value formula calculates the vacuum field value associated with spontaneous electroweak symmetry breaking in the Standard Model.
When to use it
Use this formula in particle physics, electroweak theory, Higgs boson calculations, and Standard Model parameter analysis.
Example
Using the Fermi coupling constant:
GF = 1.166×10^-5 GeV^-2
Formula:
v = 1/sqrt(sqrt(2)*GF)
Substitution:
v = 1/sqrt((sqrt(2))*(1.166×10^-5))
Result:
v ≈ 246 GeV
The Higgs vacuum expectation value is approximately 246 GeV.
Applications
Standard Model calculations, Higgs boson physics, electroweak symmetry breaking, quantum field theory, and particle mass generation.