HiggsbyHiggs MechanismMug
Higgsby – Higgs Mechanism Physics Mug
- Size
- 11oz · 15oz
- Made
- To order · shipping times
Where does mass come from? Higgsby fills space with the Higgs field. Electrons, quarks and W and Z bosons get their masses by coupling to it, mf = yfv/√2. Yet quarks supply only about 1% of a proton’s mass; the rest, and most of yours, is QCD binding energy. Pixel-art black ceramic mug in 11 or 15 oz; equation, symbols and sources in the physics panel below.
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Details
Size & material11oz · 15oz
Black glossy ceramic mug with a C-handle. Lead- and BPA-free.
- 11oz: 0.33 l
- 15oz: 0.44 l
CareDishwasher & microwave safe
Dishwasher safe (top rack) or hand wash. Microwave safe.
ShippingFree US
Free US shipping. $10 flat shipping outside the US.
Made to order: about 10 days of production and handling before it ships.
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.
∂ The physics
Higgsby fills all of space, quietly. I GIVE YOU MASS.
In 1964 François Englert and Robert Brout, and separately Peter Higgs, showed how a field filling space could give mass to particles that would otherwise have none. In the Standard Model that field has a constant value everywhere, v, about 246 GeV. The ATLAS and CMS experiments at CERN found its particle, the Higgs boson, in 2012, and Englert and Higgs shared the 2013 Nobel Prize.
The equation on this mug is for fermions: quarks and charged leptons such as the electron. Each couples to the field with its own strength, the Yukawa coupling, and its mass is that coupling times v over root two. The electron's coupling is tiny, about three in a million. The top quark's is almost exactly one. The W and Z bosons get their masses from the same field but through their gauge couplings, a different formula.
Here is the catch in the line. Higgsby gives elementary particles their masses, but not most of yours. Protons and neutrons, which carry almost all the mass of ordinary matter, are far heavier than the quarks inside them. Nearly all of their mass comes from the energy of the strong force binding quarks and gluons together, as lattice calculations of quantum chromodynamics have confirmed. Most of the mass in you is that binding energy.
Higgsby never takes credit for more than he gives. He gives the electron its mass, and that is enough to make atoms the size they are.
Equations
| Symbol | Meaning | Unit |
|---|---|---|
| \(m_f\) | mass of an elementary fermion (quark or charged lepton), as rest energy | \(\mathrm{GeV/c²}\) |
| \(y_f\) | Yukawa coupling of that fermion to the Higgs field | \(\mathrm{1}\) |
| \(v\) | vacuum expectation value of the Higgs field | \(\mathrm{GeV}\) |
Sources
- Englert & Brout (1964) Broken Symmetry and the Mass of Gauge Vector Mesons, PRL 13, 321 (opens in a new tab)
- Higgs (1964) Broken Symmetries and the Masses of Gauge Bosons, PRL 13, 508 (opens in a new tab)
- ATLAS Collaboration (2012) Observation of a new particle in the search for the Standard Model Higgs boson, Phys. Lett. B 716, 1 (opens in a new tab)
- CMS Collaboration (2012) Observation of a new boson at a mass of 125 GeV, Phys. Lett. B 716, 30 (opens in a new tab)
- NobelPrize.org — The Nobel Prize in Physics 2013 (Englert, Higgs) (opens in a new tab)
- CERN — The Higgs boson (opens in a new tab)
- Dürr et al. (2008) Ab Initio Determination of Light Hadron Masses, Science 322, 1224 (opens in a new tab)
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