A Partially Fixed Background Field Gauge
Abstract We examine the incorporation of gauge symmetries in the modern effective field theory (EFT) matching paradigm with a particular focus on spontaneously broken symmetries. The presence of gauge symmetries entails the introduction of gauge-fixing terms in matching calculations, which may preve...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)185 |
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| _version_ | 1841559885958873088 |
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| author | Anders Eller Thomsen |
| author_facet | Anders Eller Thomsen |
| author_sort | Anders Eller Thomsen |
| collection | DOAJ |
| description | Abstract We examine the incorporation of gauge symmetries in the modern effective field theory (EFT) matching paradigm with a particular focus on spontaneously broken symmetries. The presence of gauge symmetries entails the introduction of gauge-fixing terms in matching calculations, which may prevent (partial) cancellation between loops from the underlying theory and those of the EFT, thereby preventing the establishment of a hard-region matching formula. While this is not an issue when using the background field (BF) gauge for unbroken gauge theories, we find ourselves unable to demonstrate the cancellation with the ordinary BF gauge in spontaneously broken gauge theories when the massive vectors are heavy and decouple from the theory. As a convenient alternative, we construct a partially fixed BF gauge that, in addition to being simpler than the ordinary BF gauge, allows us to prove a hard-region matching formula. |
| format | Article |
| id | doaj-art-67986576a6c44ec3b6894760b70bc1a1 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-67986576a6c44ec3b6894760b70bc1a12025-01-05T12:06:56ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241214110.1007/JHEP12(2024)185A Partially Fixed Background Field GaugeAnders Eller Thomsen0Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of BernAbstract We examine the incorporation of gauge symmetries in the modern effective field theory (EFT) matching paradigm with a particular focus on spontaneously broken symmetries. The presence of gauge symmetries entails the introduction of gauge-fixing terms in matching calculations, which may prevent (partial) cancellation between loops from the underlying theory and those of the EFT, thereby preventing the establishment of a hard-region matching formula. While this is not an issue when using the background field (BF) gauge for unbroken gauge theories, we find ourselves unable to demonstrate the cancellation with the ordinary BF gauge in spontaneously broken gauge theories when the massive vectors are heavy and decouple from the theory. As a convenient alternative, we construct a partially fixed BF gauge that, in addition to being simpler than the ordinary BF gauge, allows us to prove a hard-region matching formula.https://doi.org/10.1007/JHEP12(2024)185Effective Field TheoriesSMEFTSpontaneous Symmetry Breaking |
| spellingShingle | Anders Eller Thomsen A Partially Fixed Background Field Gauge Journal of High Energy Physics Effective Field Theories SMEFT Spontaneous Symmetry Breaking |
| title | A Partially Fixed Background Field Gauge |
| title_full | A Partially Fixed Background Field Gauge |
| title_fullStr | A Partially Fixed Background Field Gauge |
| title_full_unstemmed | A Partially Fixed Background Field Gauge |
| title_short | A Partially Fixed Background Field Gauge |
| title_sort | partially fixed background field gauge |
| topic | Effective Field Theories SMEFT Spontaneous Symmetry Breaking |
| url | https://doi.org/10.1007/JHEP12(2024)185 |
| work_keys_str_mv | AT andersellerthomsen apartiallyfixedbackgroundfieldgauge AT andersellerthomsen partiallyfixedbackgroundfieldgauge |