Two-loop analysis of classically scale-invariant models with extended Higgs sectors

Abstract We present the first explicit calculation of leading two-loop corrections to the Higgs trilinear coupling λ hhh in models with classical scale invariance (CSI), using the effective-potential approximation. Furthermore, we also study — for the first time at two loops — the relation that appe...

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Main Authors: Johannes Braathen, Shinya Kanemura, Makoto Shimoda
Format: Article
Language:English
Published: SpringerOpen 2021-03-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP03(2021)297
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author Johannes Braathen
Shinya Kanemura
Makoto Shimoda
author_facet Johannes Braathen
Shinya Kanemura
Makoto Shimoda
author_sort Johannes Braathen
collection DOAJ
description Abstract We present the first explicit calculation of leading two-loop corrections to the Higgs trilinear coupling λ hhh in models with classical scale invariance (CSI), using the effective-potential approximation. Furthermore, we also study — for the first time at two loops — the relation that appears between the masses of all states in CSI theories, due to the requirement of reproducing correctly the 125-GeV Higgs-boson mass. In addition to obtaining analytic results for general CSI models, we consider two particular examples of Beyond-the-Standard-Model theories with extended Higgs sectors, namely an N-scalar model (endowed with a global O(N) symmetry) and a CSI version of the Two-Higgs-Doublet Model, and we perform detailed numerical studies of these scenarios. While at one loop the value of the Higgs trilinear coupling is identical in all CSI models, and deviates by approximately 82% from the (one-loop) SM prediction, we find that the inclusion of two- loop corrections lifts this universality and allows distinguishing different BSM scenarios with CSI. Taking into account constraints from perturbative unitarity and the relation among masses, we find for both types of scenarios we consider that at two loops λ hhh deviates from its SM prediction by 100 ± 10% — i.e. a quite significant further deviation with respect to the one-loop result of ∼ 82%.
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spelling doaj.art-b0c83ddb5b9243afba7c7f96c16033de2022-12-21T18:56:08ZengSpringerOpenJournal of High Energy Physics1029-84792021-03-012021315810.1007/JHEP03(2021)297Two-loop analysis of classically scale-invariant models with extended Higgs sectorsJohannes Braathen0Shinya Kanemura1Makoto Shimoda2Department of Physics, Osaka UniversityDepartment of Physics, Osaka UniversityDepartment of Physics, Osaka UniversityAbstract We present the first explicit calculation of leading two-loop corrections to the Higgs trilinear coupling λ hhh in models with classical scale invariance (CSI), using the effective-potential approximation. Furthermore, we also study — for the first time at two loops — the relation that appears between the masses of all states in CSI theories, due to the requirement of reproducing correctly the 125-GeV Higgs-boson mass. In addition to obtaining analytic results for general CSI models, we consider two particular examples of Beyond-the-Standard-Model theories with extended Higgs sectors, namely an N-scalar model (endowed with a global O(N) symmetry) and a CSI version of the Two-Higgs-Doublet Model, and we perform detailed numerical studies of these scenarios. While at one loop the value of the Higgs trilinear coupling is identical in all CSI models, and deviates by approximately 82% from the (one-loop) SM prediction, we find that the inclusion of two- loop corrections lifts this universality and allows distinguishing different BSM scenarios with CSI. Taking into account constraints from perturbative unitarity and the relation among masses, we find for both types of scenarios we consider that at two loops λ hhh deviates from its SM prediction by 100 ± 10% — i.e. a quite significant further deviation with respect to the one-loop result of ∼ 82%.https://doi.org/10.1007/JHEP03(2021)297Beyond Standard ModelHiggs Physics
spellingShingle Johannes Braathen
Shinya Kanemura
Makoto Shimoda
Two-loop analysis of classically scale-invariant models with extended Higgs sectors
Journal of High Energy Physics
Beyond Standard Model
Higgs Physics
title Two-loop analysis of classically scale-invariant models with extended Higgs sectors
title_full Two-loop analysis of classically scale-invariant models with extended Higgs sectors
title_fullStr Two-loop analysis of classically scale-invariant models with extended Higgs sectors
title_full_unstemmed Two-loop analysis of classically scale-invariant models with extended Higgs sectors
title_short Two-loop analysis of classically scale-invariant models with extended Higgs sectors
title_sort two loop analysis of classically scale invariant models with extended higgs sectors
topic Beyond Standard Model
Higgs Physics
url https://doi.org/10.1007/JHEP03(2021)297
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AT shinyakanemura twoloopanalysisofclassicallyscaleinvariantmodelswithextendedhiggssectors
AT makotoshimoda twoloopanalysisofclassicallyscaleinvariantmodelswithextendedhiggssectors