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Higgs vacuum expectation value for the Standard Model: (ref. 1 pg. 14)

[tex]v_h = \sqrt{\frac{(\hbar c)^3}{\sqrt{2} G_F}}[/tex]

Higgs mass equation for the Standard Model: (ref. 1 pg. 14)

[tex]m_H = \sqrt{2 \lambda_h} v_h[/tex]

[itex]\lambda_h[/itex] - Higgs self-coupling parameter.

Integration via substitution:

[tex]m_H = \sqrt{2 \lambda_h} v_h = \sqrt{\frac{(\hbar c)^3 \lambda_h}{G_F}}[/tex]

Higgs mass:

[tex]\boxed{m_H = \sqrt{\frac{(\hbar c)^3 \lambda_h}{G_F}}}[/tex]

How was the Higgs mass equation listed in reference 1 page 14 derived?

Reference:

The Standard Model Higgs - University of Chicago

Higgs boson - Wikipedia

Fermi coupling constant - Wikipedia

Higgs vacuum expectation value - Wikipedia