Regular celestial amplitudes

Abstract

Conventional massless celestial amplitudes are distributional and fail to realize the celestial OPE -- most sharply in the non-MHV paradox, where OPEs predict nonzero celestial amplitudes with helicities $-{+}{+}+$ that are known to vanish at tree level. To resolve this, we introduce regular celestial amplitudes. We demonstrate that at tree-level, these amplitudes are non-distributional and, crucially, consistent with the celestial OPE. This suggests a revised dictionary: CCFT correlators are the regular, not conventional, celestial amplitudes.