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Positivity bounds on vector boson scattering at the LHC

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arxiv 1808.00010 v3 pith:TMYO74CM submitted 2018-07-31 hep-ph hep-exhep-th

Cen Zhang , Shuang-Yong Zhou This is my paper · ORCID
classification hep-phhep-exhep-th
keywords constraintsapproachbosoncoefficientscompletioneffectiveoperatorsparameter
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Weak vector boson scattering (VBS) is a sensitive probe of new physics effects in the electroweak symmetry breaking. Currently, experimental results at the LHC are interpreted in the effective field theory approach, where possible deviations from the Standard Model in the quartic-gauge-boson couplings are often described by 18 dimension-8 operators. By assuming that a UV completion exists, we derive a new set of theoretical constraints on the coefficients of these operators, i.e. certain combinations of coefficients must be positive. These constraints imply that the current effective approach to VBS has a large redundancy: only about $2\%$ of the full parameter space leads to a UV completion. By excluding the remaining unphysical region of the parameter space, these constraints provide guidance for future VBS studies and measurements.

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Cited by 4 Pith papers

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

  1. Towards the HEFT-hedron: the complete set of positivity constraints at NLO

    hep-ph 2024-12 conditional novelty 7.0 of 10

    Complete positivity constraints from causality and unitarity are derived for the 15 NLO HEFT operators contributing to longitudinal gauge-Higgs scattering, shrinking the allowed space to about 5 percent.

  2. S-matrix bootstrap bounds on self-interacting dark matter

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Weakly coupled scalar self-interacting dark matter cannot be heavier than ~0.3 GeV (generic) or ~MeV (derivative-coupled pNGB), much tighter than the 12 GeV unitarity bound.

  3. The Rise of Linear Trajectories

    hep-th 2025-10 conditional novelty 6.0 of 10

    Numerical S-matrix bootstrap shows that maximized couplings of the second and third higher-spin resonances select spectra lying on a linear Regge trajectory, anchored by the graviton in gravitational theories.

  4. Causality bounds from charged shockwaves in 5d

    hep-th 2024-12 conditional novelty 5.0 of 10

    Causality on 5d charged shockwaves gives positivity bounds on four-derivative Einstein-Maxwell couplings, with gravity weakening the pure-field-theory bounds and near-horizon photons providing the strongest constraints.

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