Speaker
Description
We consider a scalar theory with an $(N_{GB} + 1)$-plet undergoing spontaneous symmetry breaking $SO(N_{GB} + 1) \to SO(N_{GB})$, with interactions governed by a general potential $V$. Using geometric methods, we compute the high-energy leading term of all scattering amplitudes involving arbitrary numbers of Higgs-like and Goldstone bosons. This infinite set of amplitudes allows us to derive an explicit unitarity bound, expressed as an infinite Taylor series in the center-of-mass energy. We apply these results to the Standard Model scalar sector via the equivalence theorem in the limit of small curvature, providing insight into the distinction between HEFT and SMEFT. Through the study of representative potentials—most notably the Dilaton—we explore, both analytically and numerically, the connection between field-space singularities and the cutoff scale, shedding light on the avenues, backdoors, and obstacles one may encounter in attempting to decouple new physics.
| Will this talk be in person or remote? | Remote via Zoom |
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