Λ scattering equations
By Humberto Gomez. Journal of High Energy Physics, 2016
148 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/37a604ba27ebd5f2813aa6144ffe7a61d4e5afdf
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In Applied Mathematics
In Atomic and Molecular Physics, and Optics
In Nuclear and High Energy Physics
Citations in the corpus
- One-loop amplitudes on the Riemann sphere (2015, background): “Being chiral string theories, ambitwistor strings potentially have more anomalies than conventional strings, but nevertheless the version appropriate to type II supergravity led to consistent proposals for amplitude formulae at one and two loops [23, 24, 64].”