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EFT anomalous dimensions from the S-matrix

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arxiv 2005.06983 v3 pith:GJJWDZWF submitted 2020-05-14 hep-ph hep-th

classification hep-phhep-th
keywords anomalousdimensionscomputemethodon-shellone-loopoperatorss-matrix
verification ladder T0 review T1 audit T2 compute T3 formal
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We use the on-shell S-matrix and form factors to compute anomalous dimensions of higher dimension operators in the Standard Model Effective Field Theory. We find that in many instances, these computations are made simple by using the on-shell method. We first compute contributions to anomalous dimensions of operators at dimension-six that arise at one-loop. Then we calculate two-loop anomalous dimensions for which the corresponding one-loop contribution is absent, using this powerful method.

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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. $N$-Photon Amplitudes in EFT from Recursion Relations and Effective Vertices

    hep-th 2026-08 conditional novelty 7.0 of 10

    A CSW-like recursion plus a 'contact Lagrangian' computes arbitrary tree-level N-photon amplitudes in general EFTs, with results through 10 photons in Born-Infeld theory.

  2. Positivity and partial wave unitarity bounds on ALP theories via amplitude methods

    hep-ph 2025-10 conditional novelty 6.0 of 10

    Complete partial-wave unitarity and positivity bounds are derived for ALP effective interactions up to dimension 8, with new SMEFT positivity constraints as a byproduct.

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