Low-Energy Effective Field Theory below the Electroweak Scale: Operators and Matching
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| Format: | Preprint |
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2017
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| _version_ | 1866911803788754944 |
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| author | Jenkins, Elizabeth E. Manohar, Aneesh V. Stoffer, Peter |
| author_facet | Jenkins, Elizabeth E. Manohar, Aneesh V. Stoffer, Peter |
| contents | The gauge-invariant operators up to dimension six in the low-energy effective field theory below the electroweak scale are classified. There are 70 Hermitian dimension-five and 3631 Hermitian dimension-six operators that conserve baryon and lepton number, as well as $ΔB= \pm ΔL = \pm 1$, $ΔL=\pm 2$, and $ΔL=\pm 4$ operators. The matching onto these operators from the Standard Model Effective Field Theory (SMEFT) up to order $1/Λ^2$ is computed at tree level. SMEFT imposes constraints on the coefficients of the low-energy effective theory, which can be checked experimentally to determine whether the electroweak gauge symmetry is broken by a single fundamental scalar doublet as in SMEFT. Our results, when combined with the one-loop anomalous dimensions of the low-energy theory and the one-loop anomalous dimensions of SMEFT, allow one to compute the low-energy implications of new physics to leading-log accuracy, and combine them consistently with high-energy LHC constraints. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1709_04486 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Low-Energy Effective Field Theory below the Electroweak Scale: Operators and Matching Jenkins, Elizabeth E. Manohar, Aneesh V. Stoffer, Peter High Energy Physics - Phenomenology The gauge-invariant operators up to dimension six in the low-energy effective field theory below the electroweak scale are classified. There are 70 Hermitian dimension-five and 3631 Hermitian dimension-six operators that conserve baryon and lepton number, as well as $ΔB= \pm ΔL = \pm 1$, $ΔL=\pm 2$, and $ΔL=\pm 4$ operators. The matching onto these operators from the Standard Model Effective Field Theory (SMEFT) up to order $1/Λ^2$ is computed at tree level. SMEFT imposes constraints on the coefficients of the low-energy effective theory, which can be checked experimentally to determine whether the electroweak gauge symmetry is broken by a single fundamental scalar doublet as in SMEFT. Our results, when combined with the one-loop anomalous dimensions of the low-energy theory and the one-loop anomalous dimensions of SMEFT, allow one to compute the low-energy implications of new physics to leading-log accuracy, and combine them consistently with high-energy LHC constraints. |
| title | Low-Energy Effective Field Theory below the Electroweak Scale: Operators and Matching |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/1709.04486 |