Interplay of chiral transitions in the standard model
Abstract We investigate nonperturbative aspects of the interplay of chiral transitions in the standard model in the course of the renormalization flow. We focus on the chiral symmetry breaking mechanisms provided by the QCD and the electroweak sectors, the latter of which we model by a Higgs-top-bot...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13689-3 |
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| _version_ | 1832585415656210432 |
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| author | Holger Gies Richard Schmieden Luca Zambelli |
| author_facet | Holger Gies Richard Schmieden Luca Zambelli |
| author_sort | Holger Gies |
| collection | DOAJ |
| description | Abstract We investigate nonperturbative aspects of the interplay of chiral transitions in the standard model in the course of the renormalization flow. We focus on the chiral symmetry breaking mechanisms provided by the QCD and the electroweak sectors, the latter of which we model by a Higgs-top-bottom Yukawa theory. The interplay becomes quantitatively accessible by accounting for the fluctuation-induced mixing of the electroweak Higgs field with the mesonic composite fields of QCD. In fact, our approach uses dynamical bosonization and treats these scalar fields on the same footing. Varying the QCD scale relative to the Fermi scale we quantify the mutual impact of the symmetry-breaking mechanisms, specifically the departure from the second order quantum phase transition of the pure Yukawa sector in favor of a crossover upon the inclusion of the gauge interactions. This allows to discuss the “naturalness” of the standard model in terms of a pseudo-critical exponent which we determine as a function of the ratio of the QCD and the Fermi scale. We also estimate the minimum value of the W boson mass in absence of the Higgs mechanism. |
| format | Article |
| id | doaj-art-3effe78f37264d35979e97de39b15cbe |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-3effe78f37264d35979e97de39b15cbe2025-01-26T12:49:31ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185112610.1140/epjc/s10052-024-13689-3Interplay of chiral transitions in the standard modelHolger Gies0Richard Schmieden1Luca Zambelli2Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität JenaTheoretisch-Physikalisches Institut, Friedrich-Schiller-Universität JenaINFN-Sezione di BolognaAbstract We investigate nonperturbative aspects of the interplay of chiral transitions in the standard model in the course of the renormalization flow. We focus on the chiral symmetry breaking mechanisms provided by the QCD and the electroweak sectors, the latter of which we model by a Higgs-top-bottom Yukawa theory. The interplay becomes quantitatively accessible by accounting for the fluctuation-induced mixing of the electroweak Higgs field with the mesonic composite fields of QCD. In fact, our approach uses dynamical bosonization and treats these scalar fields on the same footing. Varying the QCD scale relative to the Fermi scale we quantify the mutual impact of the symmetry-breaking mechanisms, specifically the departure from the second order quantum phase transition of the pure Yukawa sector in favor of a crossover upon the inclusion of the gauge interactions. This allows to discuss the “naturalness” of the standard model in terms of a pseudo-critical exponent which we determine as a function of the ratio of the QCD and the Fermi scale. We also estimate the minimum value of the W boson mass in absence of the Higgs mechanism.https://doi.org/10.1140/epjc/s10052-024-13689-3 |
| spellingShingle | Holger Gies Richard Schmieden Luca Zambelli Interplay of chiral transitions in the standard model European Physical Journal C: Particles and Fields |
| title | Interplay of chiral transitions in the standard model |
| title_full | Interplay of chiral transitions in the standard model |
| title_fullStr | Interplay of chiral transitions in the standard model |
| title_full_unstemmed | Interplay of chiral transitions in the standard model |
| title_short | Interplay of chiral transitions in the standard model |
| title_sort | interplay of chiral transitions in the standard model |
| url | https://doi.org/10.1140/epjc/s10052-024-13689-3 |
| work_keys_str_mv | AT holgergies interplayofchiraltransitionsinthestandardmodel AT richardschmieden interplayofchiraltransitionsinthestandardmodel AT lucazambelli interplayofchiraltransitionsinthestandardmodel |