Which EFT
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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2019)255 |
| _version_ | 1818215365235179520 |
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| author | Adam Falkowski Riccardo Rattazzi |
| author_facet | Adam Falkowski Riccardo Rattazzi |
| author_sort | Adam Falkowski |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-12T06:34:55Z |
| format | Article |
| id | doaj.art-0cef6a7cfeba4f269374d1d31803ce94 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T06:34:55Z |
| publishDate | 2019-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0cef6a7cfeba4f269374d1d31803ce942022-12-22T00:34:29ZengSpringerOpenJournal of High Energy Physics1029-84792019-10-0120191011610.1007/JHEP10(2019)255Which EFTAdam Falkowski0Riccardo Rattazzi1Laboratoire de Physique Théorique (UMR8627), CNRS, Univ. Paris-Sud, Université Paris-SaclayTheoretical Particle Physics Laboratory (LPTP), Institute of Physics, EPFLAbstract 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.http://link.springer.com/article/10.1007/JHEP10(2019)255Effective Field TheoriesHiggs Physics |
| spellingShingle | Adam Falkowski Riccardo Rattazzi Which EFT Journal of High Energy Physics Effective Field Theories Higgs Physics |
| title | Which EFT |
| title_full | Which EFT |
| title_fullStr | Which EFT |
| title_full_unstemmed | Which EFT |
| title_short | Which EFT |
| title_sort | which eft |
| topic | Effective Field Theories Higgs Physics |
| url | http://link.springer.com/article/10.1007/JHEP10(2019)255 |
| work_keys_str_mv | AT adamfalkowski whicheft AT riccardorattazzi whicheft |