Abstract
Abstract
We classify effective field theory (EFT) deformations of the Standard Model (SM) according to the analyticity property of the Lagrangian as a function of the Higgs doublet H. Our distinction in analytic and non-analytic corresponds to the more familiar one between linearly and non-linearly realized electroweak symmetry, but offers deeper physical insight. From the UV perspective, non-analyticity occurs when the new states acquire mass from electroweak symmetry breaking, and thus cannot be decoupled to arbitrarily high scales. This is reflected in the IR by the anomalous growth of the interaction strength for processes involving many Higgs bosons and longitudinally polarized massive vectors, with a breakdown of the EFT description below a scale 𝒪 (4π𝜐). Conversely, analyticity occurs when new physics can be pushed parametrically above the electroweak scale. We illustrate the physical distinction between these two EFT families by discussing Higgs boson self-interactions. In the analytic case, at the price of some un-naturalness in the Higgs potential, there exists space for 𝒪 (1) deviations of the cubic coupling, compatible with single Higgs and electroweak precision measurements, and with new particles out of the direct LHC reach. Larger deviations are possible, but subject to less robust assumptions about higher-dimensional operators in the Higgs potential. On the other hand, when the cubic coupling is produced by a non-analytic deformation of the SM, we show by an explicit calculation that the theory reaches strong coupling at 𝒪 (4π𝜐), quite independently of the magnitude of the cubic enhancement.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference33 articles.
1. ATLAS and CMS collaborations, Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC pp collision data at
$$ \sqrt{s} $$ = 7 and 8 TeV, JHEP08 (2016) 045 [arXiv:1606.02266] [INSPIRE].
2. ATLAS collaboration, Combination of searches for Higgs boson pairs in pp collisions at 13 TeV with the ATLAS experiment, ATLAS-CONF-2018-043, CERN, Geneva, Switzerland (2018).
3. CMS collaboration, Combination of searches for Higgs boson pair production in proton-proton collisions at
$$ \sqrt{s} $$ = 13 TeV, Phys. Rev. Lett.122 (2019) 121803 [arXiv:1811.09689] [INSPIRE].
4. M. McCullough, An indirect model-dependent probe of the Higgs self-coupling, Phys. Rev.D 90 (2014) 015001 [Erratum ibid.D 92 (2015) 039903] [arXiv:1312.3322] [INSPIRE].
5. M. Gorbahn and U. Haisch, Indirect probes of the trilinear Higgs coupling: gg → h and h → γγ, JHEP10 (2016) 094 [arXiv:1607.03773] [INSPIRE].
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