The Higgs Trilinear Coupling and the Scale of New Physics

Abstract

We consider modifications of the Higgs potential due to new physics at high energy scales. These upset delicate cancellations predicted by the Standard Model for processes involving Higgs bosons and longitudinal gauge bosons, and lead to a breakdown of the theory at high energies. We focus on modifications of the Higgs trilinear coupling and use the violation of tree-level unitarity as an estimate of the scale where the theory breaks down. We obtain a completely model-independent bound of ~ 13 TeV for an order-1 modification of the trilinear. We argue that this bound can be saturated only in fine-tuned models, and the scale of new physics is likely to be much lower. The most stringent bounds are obtained from amplitudes involving multiparticle states that are not conventional scattering states. Our results show that a future determination of the Higgs cubic coupling can point to a well-defined scale of new physics that can be targeted and explored at future colliders.

28 pages, 3 figures, added discussion. Final published version in JHEP

References in corpus (22)

• Combined measurements of Higgs boson production and decay using up to $80$ fb${}^{-1}$ of proton-proton collision data at $\sqrt{s}=$ 13 TeV collected with the ATLAS experiment
• Combined measurements of Higgs boson couplings in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• A Higgs-Higgs bound state due to New Physics at a TeV
• Combination of searches for Higgs boson pair production in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Combination of searches for Higgs boson pairs in $pp$ collisions at $\sqrt{s}=$13 TeV with the ATLAS detector
• Probing the Higgs self coupling via single Higgs production at the LHC
• Indirect probes of the trilinear Higgs coupling: $gg\to h$ and $h\to \gamma \gamma$
• Which EFT
• Higgs Pair Production at Future Hadron Colliders: From Kinematics to Dynamics
• Single-top associated production with a $Z$ or $H$ boson at the LHC: the SMEFT interpretation
• Probing the scalar potential via double Higgs boson production at hadron colliders
• Unitarity Constraints on Dimension-Six Operators
• Unitarity Constraints on Dimension-six Operators II: Including Fermionic Operators
• Probing Electroweak Precision Physics via boosted Higgs-strahlung at the LHC
• Higgs Physics: It ain't over till it's over
• Constraints on the quartic Higgs self-coupling from double-Higgs production at future hadron colliders
• Higgs Couplings without the Higgs
• Probing Quartic Higgs Self-Interaction
• Phenomenology of Induced Electroweak Symmetry Breaking
• An upper limit on the scale of new physics phenomena from rising cross sections in high multiplicity Higgs and vector boson events
• Inconsistencies of higgsplosion
• Precise test of Higgs properties via triple Higgs production in VBF at future colliders

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• Unitarity Violation and the Geometry of Higgs EFTs
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• Model-independent Veltman Condition, Naturalness and the Little Hierarchy Problem
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• Constraining the Higgs Potential with Neural Simulation-based Inference for Di-Higgs Production
• Electroweak Restoration at the LHC and Beyond: The $Vh$ Channel
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• High Energy Vector Boson Scattering in Four-Body Final States to Probe Higgs Cubic, Quartic, and HEFT interactions
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