On KLT and SYM-supergravity relations from 5-point 1-loop amplitudes

Abstract

We derive a new non-singular tree-level KLT relation for the $n=5$-point amplitudes, with manifest $2(n-2)!$ symmetry, using information from one-loop amplitudes and IR divergences, and speculate how one might extend it to higher n-point functions. We show that the subleading-color $\mathcal{N}=4$ SYM 5-point amplitude has leading IR divergence of $1/\epsilon$, which is essential for the applications of this paper. We also propose a relation between the subleading-color $\mathcal{N}=4$ SYM and $\mathcal{N}=8$ supergravity 1-loop 5-point amplitudes, valid for the IR divergences and possibly for the whole amplitudes, using techniques similar to those used in our derivation of the new KLT relation.

18 pages, latex, no figures

References in corpus (11)

• New Relations for Gauge-Theory Amplitudes
• The Momentum Kernel of Gauge and Gravity Theories
• Is N = 8 Supergravity Ultraviolet Finite?
• Stringy KLT relations, global symmetries, and E_7(7) violation
• KLT relations from the Einstein-Hilbert Lagrangian
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• Note on New KLT relations

Cited by in corpus (1)

• Note on Bonus Relations for N=8 Supergravity Tree Amplitudes