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arXiv · 1612.06276

Tree-level scattering amplitudes from the amplituhedron

Livia Ferro·Tomasz Lukowski·Andrea Orta·Matteo Parisi
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Abstract

A central problem in quantum field theory is the computation of scattering amplitudes. However, traditional methods are impractical to calculate high order phenomenologically relevant observables. Building on a few decades of astonishing progress in developing non-standard computational techniques, it has been recently conjectured that amplitudes in planar N=4 super Yang-Mills are given by the volume of the (dual) amplituhedron. After providing an introduction to the subject at tree-level, we discuss a special class of differential equations obeyed by the corresponding volume forms. In particular, we show how they fix completely the amplituhedron volume for next-to-maximally helicity violating scattering amplitudes.

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Livia Ferro, Tomasz Lukowski, Andrea Orta, Matteo Parisi. 2016-12-19. Tree-level scattering amplitudes from the amplituhedron. https://doi.org/10.1088/1742-6596/841/1/012037

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