  We take a fresh look at Feynman diagrams in the spinor-helicity formalism.
Focusing on tree-level massless QED and QCD, we develop a new and conceptually
simple graphical method for their calculation. In this pictorial method, which
we dub the chirality-flow formalism, Feynman diagrams are directly represented
in terms of chirality-flow lines corresponding to spinor inner products,
without the need to resort to intermediate algebraic manipulations.
