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Oblique parameters at next-to-leading order within electroweak strongly-coupled scenarios: Constraining heavy resonances

Antonio Pich1,*, Ignasi Rosell2,†, and Juan José Sanz-Cillero3,‡

  • *Contact author: pich@ific.uv.es
  • †Contact author: rosell@uchceu.es
  • ‡Contact author: jjsanzcillero@ucm.es
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Phys. Rev. D 112, 035009 – Published 7 August, 2025

DOI: https://doi.org/10.1103/z1c9-c486

Abstract

Using a general (nonlinear) effective field theory description of the Standard Model electroweak symmetry breaking, we analyze the impact on the electroweak oblique parameters of hypothetical heavy resonance states strongly coupled to the SM particles. We present a next-to-leading order calculation of S and T that updates and generalizes our previous results, including P-odd operators in the Lagrangian, fermionic cuts and the current experimental bounds. We demonstrate that in any strongly coupled underlying theory where the two Weinberg sum rules are satisfied, as happens in asymptotically free gauge theories, the masses of the heavy vector and axial-vector states must be heavier than 10 TeV. Lighter resonances with masses around 2–3 TeV are only possible in theoretical scenarios where the second Weinberg sum rule is not fulfilled.

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Phys. Rev. D 112, 035009– Published 7 August, 2025
  • Received 20 March 2025
  • Accepted 11 July 2025
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