Title: Deep Into the Amplituhedron: Amplitude Singularities at All Loops and Legs

Abstract

In this letter we compute a canonical set of cuts of the integrand for MHV amplitudes in planar N=4 SYM, where all internal propagators are put on-shell. These "deepest cuts" probe the most complicated Feynman diagrams and on-shell processes that can possibly contribute to the amplitude, but are also naturally associated with remarkably simple geometric facets of the amplituhedron. The recent reformulation of the amplituhedron in terms of combinatorial geometry directly in the kinematic (momentum-twistor) space plays a crucial role in understanding this geometry and determining the cut. This provides us with the first non-trivial results on scattering amplitudes in the theory valid for arbitrarily many loops and external particle multiplicities.

Authors:

Arkani-Hamed, Nima; Langer, Cameron; Srikant, Akshay Yelleshpur; Trnka, Jaroslav

Publication Date:

Thu Feb 07 00:00:00 EST 2019

Research Org.:

Institute for Advanced Study, Princeton, NJ (United States); Univ. of California, Davis, CA (United States)

Sponsoring Org.:

USDOE Office of Science (SC)

OSTI Identifier:

1493850

Alternate Identifier(s):

OSTI ID: 1595257; OSTI ID: 1600534

Grant/Contract Number:  

SC0009988; SC0009999

Resource Type:

Published Article

Journal Name:

Physical Review Letters

Additional Journal Information:

Journal Name: Physical Review Letters Journal Volume: 122 Journal Issue: 5; Journal ID: ISSN 0031-9007

Publisher:

American Physical Society (APS)

Country of Publication:

United States

Language:

English

Subject:

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS