Higgs branching-fraction normalization from mass-weighted channels (source code)

= Higgs branching-fraction normalization from mass-weighted channels
{c}
{title2=$B_f=B_{\cal S}N_c^fm_f^2/\sum_{j\in\cal S}N_c^jm_j^2$}

At leading order, neglecting phase-space suppression and <radiative corrections>, <Higgs decay to a fermion pair> has partial <decay width> proportional to $N_c^fm_f^2$, with $N_c=3$ for a quark and one for a lepton. A known sum of <branching fractions> therefore fixes the proportionality between these weights and individual <branching fractions> without requiring the Higgs <vacuum expectation value>. The same <normalization> estimates a small additional fermionic channel if its weight is not included in the known sum.