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@ARTICLE{Braathen:631546,
      author       = {Braathen, Johannes and Heinemeyer, Sven and Parra Arnay,
                      Andrea and Verduras Schaeidt, Alain},
      title        = {{I}mpact of one-loop corrections to trilinear scalar
                      couplings on di-{H}iggs production in the {R}x{SM}},
      reportid     = {PUBDB-2025-02058, DESY-25-092. arXiv:2507.02569.
                      IFT-AM/CSIC-25-071},
      year         = {2025},
      note         = {47 pages, 17 figures},
      abstract     = {We investigate di-Higgs production at the (HL-)LHC and
                      possible high-energy future $e^+e^-$ colliders within the
                      real Higgs singlet extension of the Standard Model (SM), the
                      RxSM. This model has two CP-even Higgs bosons, $h$ and $H$,
                      for which we assume $m_h\sim 125 \text{ GeV} < m_H$. We
                      analyse the effect of one-loop corrections to the two
                      trilinear scalar couplings relevant for di-Higgs production,
                      $λ_{hhh}$ and $λ_{hhH}$, by performing an extensive
                      parameter scan within the RxSM. We find that the one-loop
                      corrections have a strong impact on the total production
                      cross-sections, as well as on the differential
                      cross-sections with respect to the invariant di-Higgs mass,
                      $m_{hh}$. We evaluate the sensitivity of the HL-LHC and a
                      high-energy $e^+e^-$ collider with $\sqrt{s} = 1 \text{
                      TeV}$, the ILC1000, to probe BSM physics effects in these
                      processes. We demonstrate that the RxSM can be distinguished
                      from the SM for large parts of the sampled parameter space.
                      The resonant $H$ structure in the $m_{hh}$ distribution, on
                      the other hand, can be observed only if the corresponding
                      couplings, in particular $λ_{hhH}$, are sufficiently large.
                      Here the ILC1000 yields a substantially better sensitivity
                      than the HL-LHC.},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / DFG
                      project G:(GEPRIS)520070247 - Untersuchungen von Neue Physik
                      mit generischen Präzisionsberechnungen (520070247) / DFG
                      project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe
                      (390833306) / DFG project G:(GEPRIS)491245950 -
                      Open-Access-Publikationskosten / 2025-2027 / DESY Hamburg
                      (491245950)},
      pid          = {G:(DE-HGF)POF4-611 / G:(GEPRIS)520070247 /
                      G:(GEPRIS)390833306 / G:(GEPRIS)491245950},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2507.02569},
      howpublished = {arXiv:2507.02569},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2507.02569;\%\%$},
      doi          = {10.3204/PUBDB-2025-02058},
      url          = {https://bib-pubdb1.desy.de/record/631546},
}