How the Higgs potential got its shape
String-localized quantum field theory allows renormalizable couplings involving massive vector bosons, without invoking negative-norm states and compensating ghosts. We analyze the most general coupling of a massive vector boson to a scalar field, and find that the scalar field necessarily comes wit...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-02-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S055032132300038X |
| _version_ | 1797897290777624576 |
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| author | Jens Mund Karl-Henning Rehren Bert Schroer |
| author_facet | Jens Mund Karl-Henning Rehren Bert Schroer |
| author_sort | Jens Mund |
| collection | DOAJ |
| description | String-localized quantum field theory allows renormalizable couplings involving massive vector bosons, without invoking negative-norm states and compensating ghosts. We analyze the most general coupling of a massive vector boson to a scalar field, and find that the scalar field necessarily comes with a quartic potential which has the precise shape of the shifted Higgs potential. In other words: the shape of the Higgs potential has not to be assumed, but arises as a consistency condition among fundamental principles of QFT: Hilbert space, causality, and covariance. The consistency can be achieved by relaxing the localization properties of auxiliary quantities, including interacting charged fields, while observable fields and the S-matrix are not affected. This is an instance of the “L-V formalism” – a novel model-independent scheme that can be used as a tool to “renormalize the non-renormalizable” by adding a total derivative to the interaction. |
| first_indexed | 2024-04-10T07:56:13Z |
| format | Article |
| id | doaj.art-4793f5cbffa54ec3adfacf49938103a9 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-04-10T07:56:13Z |
| publishDate | 2023-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-4793f5cbffa54ec3adfacf49938103a92023-02-23T04:30:09ZengElsevierNuclear Physics B0550-32132023-02-01987116109How the Higgs potential got its shapeJens Mund0Karl-Henning Rehren1Bert Schroer2Departamento de Física, Universidade Federal de Juiz de Fora, Juiz de Fora 36036-900, MG, BrasilInstitut für Theoretische Physik, Universität Göttingen, 37077 Göttingen, Germany; Corresponding author.Institut für Theoretische Physik der FU Berlin, 14195 Berlin, GermanyString-localized quantum field theory allows renormalizable couplings involving massive vector bosons, without invoking negative-norm states and compensating ghosts. We analyze the most general coupling of a massive vector boson to a scalar field, and find that the scalar field necessarily comes with a quartic potential which has the precise shape of the shifted Higgs potential. In other words: the shape of the Higgs potential has not to be assumed, but arises as a consistency condition among fundamental principles of QFT: Hilbert space, causality, and covariance. The consistency can be achieved by relaxing the localization properties of auxiliary quantities, including interacting charged fields, while observable fields and the S-matrix are not affected. This is an instance of the “L-V formalism” – a novel model-independent scheme that can be used as a tool to “renormalize the non-renormalizable” by adding a total derivative to the interaction.http://www.sciencedirect.com/science/article/pii/S055032132300038X |
| spellingShingle | Jens Mund Karl-Henning Rehren Bert Schroer How the Higgs potential got its shape Nuclear Physics B |
| title | How the Higgs potential got its shape |
| title_full | How the Higgs potential got its shape |
| title_fullStr | How the Higgs potential got its shape |
| title_full_unstemmed | How the Higgs potential got its shape |
| title_short | How the Higgs potential got its shape |
| title_sort | how the higgs potential got its shape |
| url | http://www.sciencedirect.com/science/article/pii/S055032132300038X |
| work_keys_str_mv | AT jensmund howthehiggspotentialgotitsshape AT karlhenningrehren howthehiggspotentialgotitsshape AT bertschroer howthehiggspotentialgotitsshape |