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Scalar BCJ Bootstrap

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arxiv 2305.05688 v1 pith:ROL53NEE submitted 2023-05-09 hep-th

Taro V. Brown , Karol Kampf , Umut Oktem , Shruti Paranjape , Jaroslav Trnka This is my paper
classification hep-th
keywords amplitudesbootstrapconditionsimposerelationsscalarsoftsolutions
verification ladder T0 review T1 audit T2 compute T3 formal
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In this letter, we study tree-level scattering amplitudes of scalar particles in the context of effective field theories. We use tools similar to the soft bootstrap to build an ansatz for cyclically ordered amplitudes and impose the Bern-Carrasco-Johansson (BCJ) relations as a constraint. We obtain a set of BCJ-satisfying amplitudes as solutions to our procedure, which can be thought of as special higher-derivative corrections to SU(N) non-linear sigma model amplitudes satisfying BCJ relations to arbitrary multiplicity at leading order. The surprising outcome of our analysis is that BCJ conditions on higher-point amplitudes impose constraints on lower-point amplitudes, and they relate coefficients at different orders in the derivative expansion. This shows that BCJ conditions are much more restrictive than soft limit behavior, allowing only for a very small set of solutions.

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Cited by 2 Pith papers

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

  1. 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...

  2. Splitting Regions and Shrinking Islands from Higher Point Constraints

    hep-th 2025-06 conditional novelty 7.0 of 10

    Imposing 5-point split conditions and unitarity bounds selects the string beta function as the unique 4-point amplitude, up to equal-mass infinite spin towers.

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