Publication:
Elimination and recursions in the scattering equations

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2-s2.0-84960856154.pdf (314.84 KB)

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2016-05-10

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Abstract

We use the elimination theory to explicitly construct the (n-3)! order polynomial in one of the variables of the scattering equations. The answer can be given either in terms of a determinant of Sylvester type of dimension (n-3)! or a determinant of Bézout type of dimension (n-4)!. We present a recursive formula for the Sylvester determinant. Expansion of the determinants yields expressions in terms of Plücker coordinates. Elimination of the rest of the variables of the scattering equations is also presented.

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Elimination theory, Scattering amplitudes, Scattering equations

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English

Citation

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, v. 756, p. 180-187.

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http://hdl.handle.net/11449/172684

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São Paulo - IFT - Instituto de Física Teórica

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