Conveners
Geometry / Positivity
- Joseph Enea Davighi
We present the complete set of positivity bounds on the Higgs Effective Field Theory (HEFT) at next-to-leading order (NLO). We identify the 15 operators that can be constrained by positivity, as they contribute to $s^2$-growth in the amplitude for longitudinal gauge-Higgs scattering, that is to all possible 2-to-2 scattering processes involving longitudinal gauge bosons, $V_L = W_L^\pm, Z_L$,...
The analogy between field redefinitions in EFTs and coordinate transformations suggests that EFT amplitudes can be interpreted as geometric invariants, constructed from fundamental building blocks. We identify these building blocks as geometric quantities derived from the covariant derivatives of the action, which remain covariant in the on-shell limit under derivative-dependent field...
Scalar Lagrangians can be expressed as metrics on fibre (or jet) bundles, which in turn allows for the expression of individual vertices and diagrams in terms of geometric objects. In this talk we show how this leads to explicit covariance of on-shell amplitudes under permitted field redefinitions, as well as outlining the methods for the computation of the amplitudes.
