Ambidextrous light transforms for celestial amplitudes

Low multiplicity celestial amplitudes of gluons and gravitons tend to be distributional in the coordinates $z,\bar z$. We provide a new systematic remedy this situation by studying basis light transformed boost eigenstates. Motivated novel equivalence between transforms Witten's half-Fourier twistor space, we transform every positive helicity state coordinate $z$ negative $\bar With examples, show that "ambidextrous" prescription beautifully recasts two- three-point terms standard conformally covariant structures. These are used extract examples OPE for operators. also study such at higher constructing Grassmannian representation tree-level gluon as well their transforms. The formulae $n$-point N$^{k-2}$MHV take form Euler-type integrals over regions Gr$(k,n)$ cut out energy constraints.