Abstract
Integrating out a heavy scalar can cause the Higgs trilinear coupling to deviate from its Standard Model value: a good example is provided by an SU(2) quadruplet. Constraints on the full theory, however, can limit the size of the deviation. We show that the bounded-from-below conditions for the Standard Model extended by an SU(2) quadruplet strongly constrain the ℤ2-breaking Higgs portal and can bound the Higgs trilinear coupling close to its Standard Model value. For TeV-scale quadruplet masses in models with custodial symmetry violation, these constraints can be a few times stronger than constraints from electroweak precision measurements. For the custodial quadruplet, these are the strongest theoretical constraints available.
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Acknowledgments
We would like to thank Gauthier Durieux, Matthew McCullough, Ennio Salvioni, Hardi Veermäe and Luis Lavoura for discussions, and Niko Koivunen and Luca Marzola for reading the manuscript and useful comments. This work was supported by the Estonian Research Council grants PRG803, RVTT3 and RVTT7, and by the EU through the European Regional Development Fund CoE program TK202 “Fundamental Universe”.
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Kannike, K. Constraining the Higgs trilinear coupling from an SU(2) quadruplet with bounded-from-below conditions. J. High Energ. Phys. 2024, 176 (2024). https://doi.org/10.1007/JHEP01(2024)176
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DOI: https://doi.org/10.1007/JHEP01(2024)176