Tree-level scattering amplitudes from the amplituhedron

7th Young Researcher Meeting

Ferro, L.^1 ; Lukowski, T.^2 ; Orta, A.^1 ; Parisi, M.^3

Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universitat, Theresienstraße 37, München

80333, Germany^1

Mathematical Institute, University of Oxford, Andrew Wiles Building, Woodstock Road, Oxford

OX2 6GG, United Kingdom^2

Center for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London

E1 4NS, United Kingdom^3

关键词: Central problems;    Computational technique;    High-order;    Quantum field theory;    Scattering amplitudes;    Special class;    Tree level;    Tree-level scattering;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/841/1/012037/pdf
DOI  :  10.1088/1742-6596/841/1/012037

来源: IOP

【 摘 要 】

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.