Single-minus gluon tree amplitudes are nonzero
Single-minus tree-level n-gluon scattering amplitudes are reconsidered. Often presumed to vanish, they are shown here to be nonvanishing for certain "half-collinear" configurations existing in Klein space or for complexified momenta. We derive a piecewise-constant closed-form expression for the decay of a single minus-helicity gluon into n-1 plus-helicity gluons as a function of their momenta. This formula nontrivially satisfies multiple consistency conditions including Weinberg's soft theorem.
698f85b350fb2c0be47835b7
Alfredo Guevara
698f85b350fb2c0be47835b8
Alexandru Lupsasca
698f85b350fb2c0be47835b9
David Skinner
698f85b350fb2c0be47835ba
Andrew Strominger
698f85b350fb2c0be47835bb
Kevin Weil
Single-minus gluon tree amplitudes are nonzero
Single-minus tree-level n-gluon scattering amplitudes are reconsidered. Often presumed to vanish, they are shown here to be nonvanishing for certain "half-collinear" configurations existing in Klein space or for complexified momenta. We derive a piecewise-constant closed-form expression for the decay of a single minus-helicity gluon into n-1 plus-helicity gluons as a function of their momenta. This formula nontrivially satisfies multiple consistency conditions including Weinberg's soft theorem.