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Bootstrapping a Two-Loop Four-Point Form Factor

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arxiv 2106.01374 v2 pith:KVQMWQ5D submitted 2021-06-02 hep-th hep-ph

Bootstrapping a Two-Loop Four-Point Form Factor

Yuanhong Guo , Lei Wang , Gang Yang This is my paper
classification hep-th hep-ph
keywords two-loopansatzbootstrappingfactorformfour-pointmasterterms
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute the two-loop four-point form factor of a length-3 half-BPS operator in planar N=4 SYM, which belongs to the class of two-loop five-point scattering observables with one off-shell color-singlet leg. A new bootstrapping strategy is developed to obtain this result by starting with an ansatz expanded in terms of master integrals and then solving the master coefficients via various physical constraints. We find that consistency conditions of infrared divergences and collinear limits, together with the cancellation of spurious poles, can fix a significant part of the ansatz. The remaining degrees of freedom can be fixed by one simple type of two-double unitarity cut. Full analytic results in terms of both symbol and Goncharov polylogarithms are provided.

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Cited by 3 Pith papers

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

  1. Bootstrapping the Four-Point NMHV Stress-Tensor Form Factor

    hep-th 2026-05 unverdicted novelty 7.0

    Determines the unique two- and three-loop symbols for the four-point NMHV form factor from an 88-letter alphabet, providing first multi-loop non-MHV data and supporting alphabet universality.

  2. QCD Scattering Amplitudes and Prescriptive Unitarity

    hep-th 2026-02 conditional novelty 7.0

    The maximally-transcendental part of planar two-loop six-gluon MHV QCD amplitudes is bootstrapped at symbol level and expressed in a 137-letter alphabet.

  3. Kinematics, cluster algebras and Feynman integrals

    hep-th 2021-12 unverdicted novelty 7.0

    Cluster algebras for planar conformal kinematics are identified as G(4,n) subalgebras and used to bootstrap the symbol of an 8-point three-loop wheel integral via D3 and new algebraic letters.