Emerging Nonlocal Källèn-Lehmann Higgs Spectra at the LHC
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| Format: | Preprint |
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2026
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| _version_ | 1866913169421631488 |
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| author | Paganis, Stathes |
| author_facet | Paganis, Stathes |
| contents | Electroweak symmetry breaking may arise from emergent nonlocal Källèn-Lehmann spectral densities in Hamiltonians with multiscalar interactions. The nonlocality scale $Λ_{NL}$ emerges naturally from the exponentially increasing degeneracy of mass eigenstates in the Higgs two-point function at scales $p^2 \geq Λ^2_{NL}$. Following the renormalization of the nonlocal Higgs propagator, we provide a framework for deriving analytic expressions for non-perturbative scattering amplitudes. We demonstrate that for energies exceeding the nonlocality scale, scattering amplitudes are exponentially suppressed. Furthermore, the real part of the Higgs self-energy is suppressed at deep spacelike momenta ($p^2 \sim -Λ^2_{NL}$), offering a solution to the Hierarchy problem. Such nonlocal scalar sectors are accessible to current and future LHC runs. We argue that the nonlocal Källèn-Lehmann spectral density can be constrained through a simultaneous global fit of LHC measurements in exclusive channels, including di-Higgs, electroweak di-boson, and di-photon production. This approach represents a paradigm shift in the search for new physics at high-energy colliders. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_25015 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Emerging Nonlocal Källèn-Lehmann Higgs Spectra at the LHC Paganis, Stathes High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory Electroweak symmetry breaking may arise from emergent nonlocal Källèn-Lehmann spectral densities in Hamiltonians with multiscalar interactions. The nonlocality scale $Λ_{NL}$ emerges naturally from the exponentially increasing degeneracy of mass eigenstates in the Higgs two-point function at scales $p^2 \geq Λ^2_{NL}$. Following the renormalization of the nonlocal Higgs propagator, we provide a framework for deriving analytic expressions for non-perturbative scattering amplitudes. We demonstrate that for energies exceeding the nonlocality scale, scattering amplitudes are exponentially suppressed. Furthermore, the real part of the Higgs self-energy is suppressed at deep spacelike momenta ($p^2 \sim -Λ^2_{NL}$), offering a solution to the Hierarchy problem. Such nonlocal scalar sectors are accessible to current and future LHC runs. We argue that the nonlocal Källèn-Lehmann spectral density can be constrained through a simultaneous global fit of LHC measurements in exclusive channels, including di-Higgs, electroweak di-boson, and di-photon production. This approach represents a paradigm shift in the search for new physics at high-energy colliders. |
| title | Emerging Nonlocal Källèn-Lehmann Higgs Spectra at the LHC |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.25015 |