Charting the Higgs self-coupling boundaries

Abstract

Could new physics first manifest itself in Higgs self-coupling measurements? In other words, how large could deviations in the Higgs self-coupling be, if other Higgs and electroweak measurements are compatible with Standard Model predictions? Using theoretical arguments supported by concrete models we derive a bound on the ratio of self-coupling to single-Higgs coupling deviations in ultraviolet completions of the Standard Model where parameters are not fine-tuned. Broadly speaking, a one-loop hierarchy is allowed. We thus stress that self-coupling measurements at the LHC and future colliders probe uncharted parameter space, presenting discovery potential even in the absence of emerging hints in single-Higgs coupling measurements. For instance, if other observables show less than two-sigma deviations by the end of the LHC programme, the Higgs self-coupling deviations could still exceed 200% in the models discussed, without introducing fine-tuning of ultraviolet parameters.

24 pages, 5 figures. v2: technical problem fixed in Fig 1, otherwise unchanged. v3: minor changes, matches the published version

References in corpus (12)

• A Clockwork Theory
• The Twin Higgs mechanism and Composite Higgs
• Observable Effects of General New Scalar Particles
• Probing the Higgs self coupling via single Higgs production at the LHC
• Indirect probes of the trilinear Higgs coupling: $gg\to h$ and $h\to \gamma \gamma$
• What's in the Loop? The Anatomy of Double Higgs Production
• Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I
• Two-loop amplitudes for Higgs plus jet production involving a modified trilinear Higgs coupling
• Higgs boson self-coupling constraints from single Higgs, double Higgs and Electroweak measurements
• Off-shell Higgs production at the LHC as a probe of the trilinear Higgs coupling
• Gegenbauer Goldstones
• Gegenbauer's Twin

Cited by in corpus (7)

• Constraints on anomalous dimensions from the positivity of the S-matrix
• New Physics at Tera-$Z$: Precision Renormalised
• Neutrino masses from new Weinberg-like operators: Phenomenology of TeV scalar multiplets
• Resonant Multi-Scalar Production in the Generic Complex Singlet Model in the Multi-TeV Region
• Constraining the Higgs Trilinear Coupling from an $SU(2)$ Quadruplet with Bounded-from-Below Conditions
• Prospects for exotic $h\to 4\tau$ decays in single and di-Higgs boson production at the LHC and future hadron colliders
• Constraining the Higgs potential using multi-Higgs production