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Measuring it would show whether the Higgs field is the source of the mass of the particle that sets the size of atoms.","posed_since":"","precise":"Measure the electron Yukawa coupling $y_e$ (SM value $\\sqrt{2}\\,m_e/v \\sim 2.9 \\times 10^{-6}$), or $\\kappa_e = y_e/y_e^{\\mathrm{SM}}$. The best direct bound, CMS $\\operatorname{BR}(H \\to e+ e-) < 3.0 \\times 10^{-4}$ at 95 percent CL (Phys. Lett. B 846, 137783, 2023), corresponds to $\\left|\\kappa_e\\right| < \\sim 240$ (approximate, using $\\operatorname{BR}_{\\mathrm{SM}} \\sim 5 \\times 10^{-9}$). An answer is $\\kappa_e$ measured with $O(1)$ precision, enough to separate $\\kappa_e = 1$ from $\\kappa_e = 0$.","problem_ref":"1841b34bac8179ec01d8796a5d522e941728ce0f980f2446b08e6bb19d0bfbc1","references":"","settled_by":"Resonant s-channel production $e+ e- \\to H$ at $\\sqrt{s}=m_{H}$ with a center-of-mass energy spread of about 4 MeV at FCC-ee, projected to reach $1.3\\,\\sigma$ for the SM coupling (an upper limit of 1.6 times $y_{e}^{\\mathrm{SM}}$) per interaction point per year with $10\\,\\mathrm{ab}^{-1}$ (d'Enterria, Poldaru, Wojcik, Eur. Phys. J. Plus 137, 201, 2022, arXiv:2107.02686).","status_note":"Only upper bounds exist as of 2026; FCC-ee feasibility studies reach sensitivity near the SM value.","title":"Does the Higgs field give the electron its 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