28,511 research outputs found
General expressions for extra-dimensional tree amplitudes and all-plus 1-loop integrands in Q-cut representaion
In this paper, we give the general expressions for a special series of tree
amplitudes of the Yang-Mills theory. This series of amplitudes have two
adjacent massless spin-1 particles with extra-dimensional momenta and any
number of positive helicity gluons. With special helicity choices, we use the
spinor helicity formalism to express these n-point amplitudes in compact forms,
and find a clever way to use the BCFW recursion relations to prove the results.
Then these amplitudes are used to form the complete 1-loop all-plus integrand
with any number of gluons, expressed in the Q-cut representation.Comment: Published version with 20 pages, 8 figure, and 1 new referenc
- …