Gravitational positivity in electroweak sector

Abstract

This study investigates the compatibility of the electroweak sector of particle physics with quantum gravity, under the assumption that the conventional S-matrix positivity bounds can be extended to gravitational context. It focuses on constraints implied by these bounds to the weak couplings of the Weinberg-Salam model coupled to gravity, analyzed through forward-limit of various $2\rightarrow 2$ scatterings, including $HH \rightarrow HH, H\gamma \rightarrow H\gamma, \gamma\gamma\rightarrow\gamma\gamma$. These constraints suggest possible extensions to the magnetic Weak Gravity Conjecture, relating gauge couplings with the EFT cutoff scale.