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arXiv · 1610.05013

General expressions for extra-dimensional tree amplitudes and all-plus 1-loop integrands in Q-cut representaion

Yang An·Yi Li
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Abstract

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.

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Yang An, Yi Li. 2016-10-17. General expressions for extra-dimensional tree amplitudes and all-plus 1-loop integrands in Q-cut representaion. https://doi.org/10.1140/epjc%2Fs10052-018-5724-1

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