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Note on solutions of scattering equations
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Note on solutions of scattering equations
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In the CHY-frame for the amplitudes, there are two kinds of singularities we need to deal with. The first one is the pole singularities when the kinematics is not general, such that some of $S_A\to 0$. The second one is the collapse of locations of points after solving scattering equations (i.e., the singular solutions). These two types of singularities are tightly related to each other, but the exact mapping is not well understood. In this paper, we have initiated the systematic study of the mapping. We have demonstrated the different mapping patterns using three typical situations, i.e., the factorization limit, the soft limit and the forward limit.
Forward citations
Cited by 1 Pith paper
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An adaptive inverse-problem framework for one-loop five-gluon BCJ numerators
The complete 207-dimensional family of one-loop five-gluon BCJ numerator coefficients is reconstructed exactly, and every direction in that family is shown to be invisible to the specified color-ring observable.
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