Vevette
Higgs Field / Vacuum Expectation Value Physics
Vevette is a Pixelated Physics law character, one of our quantum designs. In its lowest-energy state the Higgs field settles at v/√2, about 174 GeV, not zero, and its scale v, about 246 GeV, gives the W, Z and charged fermions their mass. This is a 3" × 3" pixel-art sticker. The physics panel below gives the equation, what each symbol means and the sources.
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Details
Size3″ × 3″
3″ × 3″ kiss-cut sticker.
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The physics
The Higgs field's potential has its lowest point away from zero, so the field takes a nonzero value v of about 246 GeV everywhere. Particles that interact with it gain masses proportional to that value and their coupling strength.
Equations
| Symbol | Meaning | Unit |
|---|---|---|
| \(V\) | Higgs potential (energy density; natural units) | \(\mathrm{GeV^4}\) |
| \(\phi\) | Higgs field; on the art the horizontal axis is the field's size (natural units) | \(\mathrm{GeV}\) |
| \(\mu^2\) | parameter of the potential, positive | \(\mathrm{GeV^2}\) |
| \(\lambda\) | self-coupling of the field, positive | \(\mathrm{1}\) |
| \(\langle\phi\rangle\) | vacuum expectation value: where the field settles, in the valley | \(\mathrm{GeV}\) |
| \(v\) | electroweak scale, about 246.22 GeV | \(\mathrm{GeV}\) |
| \(G_F\) | Fermi coupling constant | \(\mathrm{GeV^{-2}}\) |
| \(m_f\) | mass of fermion f (as rest energy, natural units) | \(\mathrm{GeV}\) |
| \(y_f\) | Yukawa coupling of fermion f (top about 0.99, electron about 0.0000029; approximate) | \(\mathrm{1}\) |
Sources
- Higgs (1964) Broken Symmetries and the Masses of Gauge Bosons, Phys. Rev. Lett. 13, 508 (opens in a new tab)
- Englert & Brout (1964) Broken Symmetry and the Mass of Gauge Vector Mesons, Phys. Rev. Lett. 13, 321 (opens in a new tab)
- ATLAS Collaboration (2012) Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716, 1 (opens in a new tab)
- CMS Collaboration (2012) Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716, 30 (opens in a new tab)
- NobelPrize.org — The Nobel Prize in Physics 2013 (Englert and Higgs) (opens in a new tab)
- Particle Data Group (2024) — gauge and Higgs bosons summary table (Higgs mass 125.20 ± 0.11 GeV) (opens in a new tab)
- NIST CODATA — Fermi coupling constant G_F (gives v = 246.22 GeV) (opens in a new tab)
- Particle Data Group (2024) — quarks summary table (top mass 172.57 ± 0.29 GeV) (opens in a new tab)
Source Higgs, P. W. (1964). Broken Symmetries and the Masses of Gauge Bosons. Physical Review Letters 13, 508–509.doi.org/10.1103/PhysRevLett.13.508 (opens in a new tab)