Precise predictions for trilinear Higgs couplings and Higgs pair production in extended scalar sectors with anyH3 and anyHH

Abstract

A central objective of future collider experiments is to probe the structure of the Higgs potential, which requires access to trilinear scalar couplings, in particular the self-coupling of the observed Higgs boson. While this coupling is fixed in the Standard Model (SM), it can receive sizable modifications in many Beyond the SM (BSM) scenarios, often connected to solutions of open problems such as the origin of the matter-antimatter asymmetry of the Universe. In theories with extended scalar sectors, radiative corrections involving additional scalar states can significantly affect both the Higgs self-coupling and other trilinear scalar interactions, with important consequences for predictions of physical observables. Precise theoretical calculations are therefore essential for the interpretation of precision Higgs measurements and for identifying indirect signatures of new physics. This contribution presents the latest version of the public tool anyBSM, which provides automated calculations of all trilinear scalar couplings at full one-loop order in arbitrary renormalisable theories, including full momentum dependence and flexible renormalisation-scheme choices. In addition, the new module anyHH for di-Higgs production in gluon fusion is discussed in several exemplary BSM models, including scenarios with multiple resonances.

Figures (3)

• Figure 1: Differential cross-section for Higgs pair production in the tree-level aligned THDM type-II. Left: Comparison of the differential cross-section calculated using tree-level trilinear couplings (black dotted) and loop-corrected trilinears with (red solid) as well as without momentum dependence (blue dashed). Right: Same as upper left, but all mass parameters set to 400 GeV. The values of the trilinear scalar couplings for the scenario with $M_{A,H,H^\pm}=600\text{ GeV}$ and $M=400\text{ GeV}$ are $\lambda_{hhh}^{(1)}=$ 335.09 GeV and $\lambda_{hhH}^{(1)}=$ 191.78 GeV. For the scenario with $M_{A,H,H^\pm}=M=400\text{ GeV}$ they are $\lambda_{hhh}^{(1)}=$ 176.29 GeV and $\lambda_{hhH}^{(1)}=$ 13.20 GeV.
• Figure 2: Differential cross-section as a function of the di-Higgs invariant mass for a scenario with two heavy CP-even resonances in the NTHDM. The chosen masses and mixing angles for the considered benchmark point are introduced in the text.
• Figure 3: Differential cross-sections as a function of the di-Higgs invariant mass for scenarios with two heavy CP-even resonances in the STHDM (left) and the TRSM (right). The chosen masses and mixing angles, adapted from the benchmark point in the NTHDM, are described in the text.