https://doi.org/10.1140/epjc/s10052-024-13186-7
Regular Article – Theoretical Physics
Echoes of Veltman criteria on the next-two-Higgs-doublet model
1
FST, Abdelmalek Essaadi University, B.P. 416, Tanger, Morocco
2
Department of Physics and Center for Theory and Computation, National Tsing Hua University, 300, Hsinchu, Taiwan
3
Polydisciplinary Faculty, Laboratory of Fundamental and Applied Physics, Cadi Ayyad University, B.P. 4162, Sidi Bouzid, Safi, Morocco
4
Laboratory of Theoretical and High Energy Physics (LPTHE), Faculty of Science, Ibnou Zohr University, B.P 8106, Agadir, Morocco
5
School of Physics and Astronomy, University of Southampton, SO17 1BJ, Southampton, UK
6
Particle Physics Department, Rutherford Appleton Laboratory, Chilton, Didcot, OX11 0QX, Oxon, UK
Received:
10
April
2024
Accepted:
30
July
2024
Published online:
12
August
2024
We investigate how the Next-Two-Higgs Doublet Model extension (N2HDM) should look if we are to address the naturalness problem using dimensional regularization. In such a model, new Higgs states are predicted, namely: three CP-even 
, one CP-odd A, and a pair of charged Higgs boson 
. Our calculations of the overall quadratic divergences have been performed with full consistency with the latest data from the Large Hadron Collider (LHC) concerning the observed 125 GeV Higgs boson, alongside precision electroweak data tests and lower mass limits on charged Higgs boson. It is shown that the quadratically divergent quantum corrections 
(i=1,2,3) for the three CP-even Higgs bosons are controllably small, though hidden fine-tuning might still be required. This reveals a significant impact on the model parameter space, Higgs spectrum mass and notably the singlet-doublet admixture.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
