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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Main Authors: Holger Gies, Richard Schmieden, Luca Zambelli
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13689-3
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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.
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institution Kabale University
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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