Pith. sign in

REVIEW 5 cited by

Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1201.5366 v2 pith:X3BIUQ7G submitted 2012-01-25 hep-th

Z. Bern , J. J. M. Carrasco , L. J. Dixon , H. Johansson , R. Roiban This is my paper · ORCID
classification hep-th
keywords amplitudesuper-yang-millstheoryultravioletdualitysamesupergravityconstruction
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We use the duality between color and kinematics to simplify the construction of the complete four-loop four-point amplitude of N=4 super-Yang-Mills theory, including the nonplanar contributions. The duality completely determines the amplitude's integrand in terms of just two planar graphs. The existence of a manifestly dual gauge-theory amplitude trivializes the construction of the corresponding N=8 supergravity integrand, whose graph numerators are double copies (squares) of the N=4 super-Yang-Mills numerators. The success of this procedure provides further nontrivial evidence that the duality and double-copy properties hold at loop level. The new form of the four-loop four-point supergravity amplitude makes manifest the same ultraviolet power counting as the corresponding N=4 super-Yang-Mills amplitude. We determine the amplitude's ultraviolet pole in the critical dimension of D=11/2, the same dimension as for N=4 super-Yang-Mills theory. Strikingly, exactly the same combination of vacuum integrals (after simplification) describes the ultraviolet divergence of N=8 supergravity as the subleading-in-1/N_c^2 single-trace divergence in N=4 super-Yang-Mills theory.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA

    hep-th 2026-08 conditional novelty 7.0 of 10

    First explicit full-color three-loop five-point CK-dual integrand for N=4 SYM, with its N=8 SUGRA double copy and D=6 UV poles.

  2. Entire Four-Graviton EFT from the Duality Between Color and Kinematics

    hep-th 2026-01 conditional novelty 7.0 of 10

    Every parity-even four-graviton amplitude in any spacetime dimension can be constructed from gauge-theory building blocks via double or triple color-kinematics copies, with the D>6 Lovelock R^3 term as the unique trip...

  3. Planar loop integrands from cuts in $D$ dimensions

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    A Möbius-inversion formula on the refinement poset reconstructs planar L-loop n-point integrands as sums over non-scaleless scalar graphs dressed by D-dimensional cuts, demonstrated for Yang-Mills theory.

  4. Energy correlators in four-dimensional gravity

    hep-th 2025-12 conditional novelty 6.0 of 10

    Gravitational energy correlators in four dimensions are computed at one loop, shown to be infrared-finite, and resummed in the back-to-back limit by soft-graviton exponentiation.

  5. Off-shell double copy theories in BV

    hep-th 2025-06 conditional novelty 6.0 of 10

    A BV-formalism construction gives off-shell double-copy actions for Chern-Simons, BF, and 2D Yang-Mills theories, with Kodaira-Spencer and Kähler gravity as natural examples.

Pith tools