\[m_f=\frac{y_fv}{\sqrt{2}}\]
Variables
mf[m_f]fermion mass
yf[y_f]Yukawa coupling constant
vHiggs vacuum expectation value
Description
What is this formula?
The fermion mass from Yukawa coupling formula relates the mass of a fermion to its Yukawa coupling with the Higgs field in the Standard Model.
When to use it
Use this formula in particle physics, electroweak theory, Higgs boson interactions, and Standard Model mass generation calculations.
Example
A fermion has:
yf = 0.01
Using:
v = 246 GeV
Formula:
mf = (yf*v)/sqrt(2)
Substitution:
mf = (0.01*246)/sqrt(2)
Result:
mf ≈ 1.74 GeV
The fermion mass is approximately 1.74 GeV.
Applications
Higgs boson physics, fermion mass generation, electroweak interactions, quantum field theory, and Standard Model calculations.