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VevetteHiggs Field / Vacuum Expectation ValueSticker

Vevette – Higgs Field / Vacuum Expectation Value Physics Sticker

Regular price $6.99 USD
Regular price Sale price $6.99 USD
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Size
3" × 3"
Surface
White
Made
To order · shipping times

Vevette is a Pixelated Physics law character, one of our quantum designs. In its lowest-energy state the Higgs field is 246 GeV, not zero, and that value 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.

Size
Surface

Details

Size3″ × 3″

3″ × 3″ kiss-cut sticker.

Shipping

Free US shipping · $10 flat shipping outside the US, whatever's in your order.

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Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

Vevette is a sommelier who lives in the punt of a wine bottle, and she has never once stood in the middle.

The Higgs field’s potential, the first line on this page, has that shape: a hump at zero and a circular valley around it. Zero is a balance point, not a resting place. So everywhere in the universe the field settles in the valley, at a value that is not zero: v over root two, where v is about 246 GeV, fixed by the strength of the weak force through the Fermi constant, the second and third lines.

In 1964 François Englert and Robert Brout, and separately Peter Higgs, showed how a field like this lets the W and Z bosons, which carry the weak force, have mass without breaking the theory. Higgs pointed out that it also predicts a new particle, a ripple in the field itself. In July 2012 the ATLAS and CMS experiments at CERN’s Large Hadron Collider announced it, at about 125 GeV. Englert and Higgs shared the 2013 Nobel Prize.

Every particle that comes to Vevette’s tasting gets a pour that grows with its Yukawa coupling to the field, the last line. The top quark’s glass is full, its coupling close to one. The others get a drop, and the electron’s drop needs a loupe. The glasses are not to scale.

She is careful not to overclaim. The photon and gluon stay massless. Most of the proton’s mass comes from the energy of the strong force binding its quarks, not from her. Where neutrino masses come from is still unknown. And it isn’t molasses: nothing here is drag.

Nothing at zero. I sit at 246.

Equations

\[V(\phi) = -\mu^2|\phi|^2 + \lambda|\phi|^4\]
\[\begin{gathered} \langle\phi\rangle = \frac{v}{\sqrt{2}} \\ v = (\sqrt{2}\,G_F)^{-1/2} \end{gathered}\]
\[v \approx 246\ \text{GeV}\]
\[m_f = \frac{y_f\,v}{\sqrt{2}}\]
Symbols
SymbolMeaningUnit
\(V\) 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) \(\mathrm{1}\)
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