Singularity Structure of Maximally Supersymmetric Scattering Amplitudes

Nima Arkani-Hamed; Jacob L. Bourjaily; Freddy Cachazo; Jaroslav Trnka

doi:10.1103/PhysRevLett.113.261603

Singularity Structure of Maximally Supersymmetric Scattering Amplitudes

Nima Arkani-Hamed, Jacob L. Bourjaily, Freddy Cachazo, Jaroslav Trnka

Theoretical high energy, astroparticle and gravitational physics

55 Citations (Scopus)

Abstract

We present evidence that loop amplitudes in maximally supersymmetric (N=4) Yang-Mills theory (SYM) beyond the planar limit share some of the remarkable structures of the planar theory. In particular, we show that through two loops, the four-particle amplitude in full N=4 SYM has only logarithmic singularities and is free of any poles at infinity—properties closely related to uniform transcendentality and the UV finiteness of the theory. We also briefly comment on implications for maximal (N=8) supergravity theory (SUGRA).

Original language	English
Article number	261263
Journal	Physical Review Letters
Volume	113
Issue number	26
ISSN	0031-9007
DOIs	https://doi.org/10.1103/PhysRevLett.113.261603
Publication status	Published - 29 Dec 2014

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10.1103/PhysRevLett.113.261603

Cite this

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title = "Singularity Structure of Maximally Supersymmetric Scattering Amplitudes",

abstract = "We present evidence that loop amplitudes in maximally supersymmetric (N=4) Yang-Mills theory (SYM) beyond the planar limit share some of the remarkable structures of the planar theory. In particular, we show that through two loops, the four-particle amplitude in full N=4 SYM has only logarithmic singularities and is free of any poles at infinity—properties closely related to uniform transcendentality and the UV finiteness of the theory. We also briefly comment on implications for maximal (N=8) supergravity theory (SUGRA).",

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AU - Arkani-Hamed, Nima

AU - Bourjaily, Jacob L.

AU - Cachazo, Freddy

AU - Trnka, Jaroslav

PY - 2014/12/29

Y1 - 2014/12/29

N2 - We present evidence that loop amplitudes in maximally supersymmetric (N=4) Yang-Mills theory (SYM) beyond the planar limit share some of the remarkable structures of the planar theory. In particular, we show that through two loops, the four-particle amplitude in full N=4 SYM has only logarithmic singularities and is free of any poles at infinity—properties closely related to uniform transcendentality and the UV finiteness of the theory. We also briefly comment on implications for maximal (N=8) supergravity theory (SUGRA).

AB - We present evidence that loop amplitudes in maximally supersymmetric (N=4) Yang-Mills theory (SYM) beyond the planar limit share some of the remarkable structures of the planar theory. In particular, we show that through two loops, the four-particle amplitude in full N=4 SYM has only logarithmic singularities and is free of any poles at infinity—properties closely related to uniform transcendentality and the UV finiteness of the theory. We also briefly comment on implications for maximal (N=8) supergravity theory (SUGRA).

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DO - 10.1103/PhysRevLett.113.261603

M3 - Journal article

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SN - 0031-9007

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JO - Physical Review Letters

JF - Physical Review Letters

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