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 (22)

• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• New Relations for Gauge-Theory Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Gravity as the Square of Gauge Theory
• Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory
• The Momentum Kernel of Gauge and Gravity Theories
• One-Loop Self-Dual and N=4 Super Yang-Mills
• Is N = 8 Supergravity Ultraviolet Finite?
• Gravity and Yang-Mills Amplitude Relations
• Proof of Gravity and Yang-Mills Amplitude Relations
• Stringy KLT relations, global symmetries, and E_7(7) violation
• Infinities within graviton scattering amplitudes
• KLT relations from the Einstein-Hilbert Lagrangian
• New Identities among Gauge Theory Amplitudes
• Constraints and Generalized Gauge Transformations on Tree-Level Gluon and Graviton Amplitudes
• Two-loop graviton scattering relation and IR behavior in N=8 supergravity
• Note on graviton MHV amplitudes
• Subleading-color contributions to gluon-gluon scattering in N=4 SYM theory and relations to N=8 supergravity
• KLT and New Relations for N=8 SUGRA and N=4 SYM
• Comment on the Identities of the Gluon Tree Amplitudes
• Note on New KLT relations
• IR divergences and Regge limits of subleading-color contributions to the four-gluon amplitude in N=4 SYM Theory

Cited by in corpus (12)

• Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity
• N >= 4 Supergravity Amplitudes from Gauge Theory at Two Loops
• Generic multiloop methods and application to N=4 super-Yang-Mills
• N >= 4 Supergravity Amplitudes from Gauge Theory at One Loop
• RNS derivation of N-point disk amplitudes from the revisited S-matrix approach
• Virtuous Trees at Five and Six Points for Yang-Mills and Gravity
• Linear relations between N >= 4 supergravity and subleading-color SYM amplitudes
• One-loop SYM-supergravity relation for five-point amplitudes
• Note on Bonus Relations for N=8 Supergravity Tree Amplitudes
• Celestial IR divergences in general most-subleading-color gluon and gravity amplitudes
• Applications of Subleading-color Amplitudes in N=4 SYM Theory
• The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudes