Dilaton Effective Field Theory
We review and extend recent studies of dilaton effective field theory (dEFT) that provide a framework for the description of the Higgs boson as a composite structure. We first describe the dEFT as applied to lattice data for a class of gauge theories with near-conformal infrared behavior. This inclu...
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MDPI AG
2022-12-01
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| Online Access: | https://www.mdpi.com/2218-1997/9/1/10 |
| _version_ | 1797436593839013888 |
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| author | Thomas Appelquist James Ingoldby Maurizio Piai |
| author_facet | Thomas Appelquist James Ingoldby Maurizio Piai |
| author_sort | Thomas Appelquist |
| collection | DOAJ |
| description | We review and extend recent studies of dilaton effective field theory (dEFT) that provide a framework for the description of the Higgs boson as a composite structure. We first describe the dEFT as applied to lattice data for a class of gauge theories with near-conformal infrared behavior. This includes the dilaton associated with the spontaneous breaking of (approximate) scale invariance and a set of pseudo-Nambu–Goldstone bosons (pNGBs) associated with the spontaneous breaking of an (approximate) internal global symmetry. The theory contains two small symmetry-breaking parameters. We display the leading-order (LO) Lagrangian and review its fit to lattice data for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>S</mi><mi>U</mi><mo>(</mo><mn>3</mn><mo>)</mo></mrow></semantics></math></inline-formula> gauge theory with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>N</mi><mi>f</mi></msub><mo>=</mo><mn>8</mn></mrow></semantics></math></inline-formula> Dirac fermions in the fundamental representation. We then develop power-counting rules to identify the corrections emerging at next-to-leading order (NLO) in the dEFT action. We list the NLO operators that appear and provide estimates for the coefficients. We comment on implications for composite Higgs model building. |
| first_indexed | 2024-03-09T11:04:53Z |
| format | Article |
| id | doaj.art-25accc7b8d4a4759a31ae2faccb48f96 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T11:04:53Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-25accc7b8d4a4759a31ae2faccb48f962023-12-01T00:58:50ZengMDPI AGUniverse2218-19972022-12-01911010.3390/universe9010010Dilaton Effective Field TheoryThomas Appelquist0James Ingoldby1Maurizio Piai2Sloane Laboratory, Department of Physics, Yale University, New Haven, CT 06520, USAAbdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151 Trieste, ItalyDepartment of Physics, Faculty of Science and Engineering, Swansea University (Singleton Park Campus), Singleton Park, Swansea SA2 8PP, UKWe review and extend recent studies of dilaton effective field theory (dEFT) that provide a framework for the description of the Higgs boson as a composite structure. We first describe the dEFT as applied to lattice data for a class of gauge theories with near-conformal infrared behavior. This includes the dilaton associated with the spontaneous breaking of (approximate) scale invariance and a set of pseudo-Nambu–Goldstone bosons (pNGBs) associated with the spontaneous breaking of an (approximate) internal global symmetry. The theory contains two small symmetry-breaking parameters. We display the leading-order (LO) Lagrangian and review its fit to lattice data for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>S</mi><mi>U</mi><mo>(</mo><mn>3</mn><mo>)</mo></mrow></semantics></math></inline-formula> gauge theory with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>N</mi><mi>f</mi></msub><mo>=</mo><mn>8</mn></mrow></semantics></math></inline-formula> Dirac fermions in the fundamental representation. We then develop power-counting rules to identify the corrections emerging at next-to-leading order (NLO) in the dEFT action. We list the NLO operators that appear and provide estimates for the coefficients. We comment on implications for composite Higgs model building.https://www.mdpi.com/2218-1997/9/1/10lattice gauge theoryphysics beyond the standard model |
| spellingShingle | Thomas Appelquist James Ingoldby Maurizio Piai Dilaton Effective Field Theory Universe lattice gauge theory physics beyond the standard model |
| title | Dilaton Effective Field Theory |
| title_full | Dilaton Effective Field Theory |
| title_fullStr | Dilaton Effective Field Theory |
| title_full_unstemmed | Dilaton Effective Field Theory |
| title_short | Dilaton Effective Field Theory |
| title_sort | dilaton effective field theory |
| topic | lattice gauge theory physics beyond the standard model |
| url | https://www.mdpi.com/2218-1997/9/1/10 |
| work_keys_str_mv | AT thomasappelquist dilatoneffectivefieldtheory AT jamesingoldby dilatoneffectivefieldtheory AT mauriziopiai dilatoneffectivefieldtheory |