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Title: Λ scattering equations
Authors: Gomez, Humberto
Keywords: Differential and Algebraic Geometry
Field Theories in Higher Dimensions
Scattering Amplitudes
Superstrings and Heterotic Strings
Issue Date: 1-Jun-2016
Publisher: Springer Verlag
Abstract: Abstract: The CHY representation of scattering amplitudes is based on integrals over the moduli space of a punctured sphere. We replace the punctured sphere by a double-cover version. The resulting scattering equations depend on a parameter Λ controlling the opening of a branch cut. The new representation of scattering amplitudes possesses an enhanced redundancy which can be used to fix, modulo branches, the location of four punctures while promoting Λ to a variable. Via residue theorems we show how CHY formulas break up into sums of products of smaller (off-shell) ones times a propagator. This leads to a powerful way of evaluating CHY integrals of generic rational functions, which we call the Λ algorithm. © 2016, The Author(s).
ISSN: 11266708
Appears in Collections:Artículos Científicos

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