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000587388 245__ $$aLeading two-loop corrections to the Higgs di-photon decay in the Inert Doublet Model
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000587388 520__ $$aLeading two-loop contributions to the di-photon decay of the Higgs boson are evaluated for the first time in the Inert Doublet Model (IDM). We employ for this calculation the Higgs low-energy theorem, meaning that we obtain corrections to the Higgs decay process by taking Higgs-field derivatives of the leading two-loop contributions to the photon self-energy. Specifically, we have included purely scalar corrections involving inert BSM Higgs bosons, as well as external-leg contributions involving both the inert scalars and fermions. Our calculation has been performed with a full on-shell renormalization, and in the gauge-less limit. We investigate our results numerically in two scenarios of the IDM: one with a light dark matter (DM) candidate (Higgs resonance scenario), and another with all additional scalars heavy (heavy DM scenario). In both cases, we find that the inclusion of two-loop corrections qualitatively modifies the behavior of the decay width, compared with the one-loop ($i.e.$ leading) order, and that they increase the deviation from the Standard Model. These large deviations can be tested at the High-Luminosity LHC.
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000587388 7001_ $$0P:(DE-H253)PIP1094538$$aBraathen, Johannes$$b1$$eCorresponding author
000587388 7001_ $$00000-0001-6819-4057$$aKanemura, Shinya$$b2
000587388 773__ $$0PERI:(DE-600)1459069-4$$a10.1140/epjc/s10052-025-14184-z$$gVol. 85, no. 5, p. 489$$n5$$p489$$tThe European physical journal / C$$v85$$x1434-6044$$y-
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