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Electroweak Symmetry Breaking without the $\mu^2$ Term

We demonstrate that from a low energy perspective a viable electroweak symmetry breaking can be achieved without the (negative sign) $\mu^2$ mass term in the Higgs potential, thereby avoiding completely the appearance of relevant operators. We show that such a setup is self consistent and not ruled...

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Autor principal: Goertz, Florian
Lenguaje:eng
Publicado: 2015
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.94.015013
http://cds.cern.ch/record/2005983
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author Goertz, Florian
author_facet Goertz, Florian
author_sort Goertz, Florian
collection CERN
description We demonstrate that from a low energy perspective a viable electroweak symmetry breaking can be achieved without the (negative sign) $\mu^2$ mass term in the Higgs potential, thereby avoiding completely the appearance of relevant operators. We show that such a setup is self consistent and not ruled out by Higgs physics. In particular, we point out that it is the lightness of the Higgs boson that allows for the electroweak symmetry to be broken dynamically via operators of $D\geq 4$, consistent with the power expansion. Beyond that, we entertain how this scenario might even be preferred phenomenologically compared to the ordinary mechanism of electroweak symmetry breaking, as realized in the Standard Model, and argue that it can be fully tested at the LHC. In an appendix, we classify UV completions that could lead to such a setup, considering also the option of generating all scales dynamically.
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institution Organización Europea para la Investigación Nuclear
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spelling cern-20059832022-08-10T12:42:56Zdoi:10.1103/PhysRevD.94.015013http://cds.cern.ch/record/2005983engGoertz, FlorianElectroweak Symmetry Breaking without the $\mu^2$ TermParticle Physics - PhenomenologyWe demonstrate that from a low energy perspective a viable electroweak symmetry breaking can be achieved without the (negative sign) $\mu^2$ mass term in the Higgs potential, thereby avoiding completely the appearance of relevant operators. We show that such a setup is self consistent and not ruled out by Higgs physics. In particular, we point out that it is the lightness of the Higgs boson that allows for the electroweak symmetry to be broken dynamically via operators of $D\geq 4$, consistent with the power expansion. Beyond that, we entertain how this scenario might even be preferred phenomenologically compared to the ordinary mechanism of electroweak symmetry breaking, as realized in the Standard Model, and argue that it can be fully tested at the LHC. In an appendix, we classify UV completions that could lead to such a setup, considering also the option of generating all scales dynamically.We demonstrate that from a low-energy perspective a viable breaking of the electroweak symmetry, as present in nature, can be achieved without the (negative sign) μ2 mass term in the Higgs potential, thereby avoiding completely the appearance of relevant operators, featuring coefficients with a positive mass dimension, in the theory. We show that such a setup is self-consistent and not ruled out by Higgs physics. In particular, we point out that it is the lightness of the Higgs boson that allows for the electroweak symmetry to be broken dynamically via operators of D≥4, consistent with the power expansion. Beyond that, we entertain how this scenario might even be preferred phenomenologically compared to the ordinary mechanism of electroweak symmetry breaking, as realized in the Standard Model, and argue that it can be fully tested at the LHC. In the Appendix, we classify UV completions that could lead to such a setup, considering also the option of generating all scales dynamically.We demonstrate that from a low energy perspective a viable breaking of the electroweak symmetry, as present in nature, can be achieved without the (negative sign) $\mu^2$ mass term in the Higgs potential, thereby avoiding completely the appearance of relevant operators, featuring coefficients with a positive mass dimension, in the theory. We show that such a setup is self consistent and not ruled out by Higgs physics. In particular, we point out that it is the lightness of the Higgs boson that allows for the electroweak symmetry to be broken dynamically via operators of $D\geq 4$, consistent with the power expansion. Beyond that, we entertain how this scenario might even be preferred phenomenologically compared to the ordinary mechanism of electroweak symmetry breaking, as realized in the Standard Model, and argue that it can be fully tested at the LHC. In an appendix, we classify UV completions that could lead to such a setup, considering also the option of generating all scales dynamically.CERN-PH-TH-2015-071arXiv:1504.00355CERN-PH-TH-2015-071oai:cds.cern.ch:20059832015-04-01
spellingShingle Particle Physics - Phenomenology
Goertz, Florian
Electroweak Symmetry Breaking without the $\mu^2$ Term
title Electroweak Symmetry Breaking without the $\mu^2$ Term
title_full Electroweak Symmetry Breaking without the $\mu^2$ Term
title_fullStr Electroweak Symmetry Breaking without the $\mu^2$ Term
title_full_unstemmed Electroweak Symmetry Breaking without the $\mu^2$ Term
title_short Electroweak Symmetry Breaking without the $\mu^2$ Term
title_sort electroweak symmetry breaking without the $\mu^2$ term
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1103/PhysRevD.94.015013
http://cds.cern.ch/record/2005983
work_keys_str_mv AT goertzflorian electroweaksymmetrybreakingwithoutthemu2term