Flux compactifications and naturalness
Abstract Free massless scalars have a shift symmetry. This is usually broken by gauge and Yukawa interactions, such that quantum corrections induce a quadratically divergent mass term. In the Standard Model this leads to the hierarchy problem of the electroweak theory, the question why the Higgs mas...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2018)151 |
| _version_ | 1819243575468097536 |
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| author | Wilfried Buchmuller Markus Dierigl Emilian Dudas |
| author_facet | Wilfried Buchmuller Markus Dierigl Emilian Dudas |
| author_sort | Wilfried Buchmuller |
| collection | DOAJ |
| description | Abstract Free massless scalars have a shift symmetry. This is usually broken by gauge and Yukawa interactions, such that quantum corrections induce a quadratically divergent mass term. In the Standard Model this leads to the hierarchy problem of the electroweak theory, the question why the Higgs mass is so much smaller than the Planck mass. We present an example where a large scalar mass term is avoided by coupling the scalar to an infinite tower of massive states which are obtained from a six-dimensional theory compactified on a torus with magnetic flux. The series of divergent quantum corrections adds up to zero, and we show explicitly that the shift symmetry of the scalar is preserved in the effective four-dimensional theory despite the presence of gauge and Yukawa interaction terms. |
| first_indexed | 2024-12-23T14:57:53Z |
| format | Article |
| id | doaj.art-91f9e65fd440450e828c17a8135d83e9 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-23T14:57:53Z |
| publishDate | 2018-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-91f9e65fd440450e828c17a8135d83e92022-12-21T17:42:43ZengSpringerOpenJournal of High Energy Physics1029-84792018-08-012018811810.1007/JHEP08(2018)151Flux compactifications and naturalnessWilfried Buchmuller0Markus Dierigl1Emilian Dudas2Deutsches Elektronen-Synchrotron DESYInstitute for Theoretical Physics, Utrecht UniversityCentre de Physique Théorique, École Polytechnique, CNRS, Université Paris-SaclayAbstract Free massless scalars have a shift symmetry. This is usually broken by gauge and Yukawa interactions, such that quantum corrections induce a quadratically divergent mass term. In the Standard Model this leads to the hierarchy problem of the electroweak theory, the question why the Higgs mass is so much smaller than the Planck mass. We present an example where a large scalar mass term is avoided by coupling the scalar to an infinite tower of massive states which are obtained from a six-dimensional theory compactified on a torus with magnetic flux. The series of divergent quantum corrections adds up to zero, and we show explicitly that the shift symmetry of the scalar is preserved in the effective four-dimensional theory despite the presence of gauge and Yukawa interaction terms.http://link.springer.com/article/10.1007/JHEP08(2018)151Effective Field TheoriesFlux compactifications |
| spellingShingle | Wilfried Buchmuller Markus Dierigl Emilian Dudas Flux compactifications and naturalness Journal of High Energy Physics Effective Field Theories Flux compactifications |
| title | Flux compactifications and naturalness |
| title_full | Flux compactifications and naturalness |
| title_fullStr | Flux compactifications and naturalness |
| title_full_unstemmed | Flux compactifications and naturalness |
| title_short | Flux compactifications and naturalness |
| title_sort | flux compactifications and naturalness |
| topic | Effective Field Theories Flux compactifications |
| url | http://link.springer.com/article/10.1007/JHEP08(2018)151 |
| work_keys_str_mv | AT wilfriedbuchmuller fluxcompactificationsandnaturalness AT markusdierigl fluxcompactificationsandnaturalness AT emiliandudas fluxcompactificationsandnaturalness |