Towards the renormalisation of the Standard Model effective field theory to dimension eight: bosonic interactions II

We calculate the renormalisation group running of the bosonic Standard Model (SM) effective operators at one loop and to order v^4/Λ ^4 , with v∼ 246 GeV being the electroweak scale and Λ the unknown new physics threshold. We focus on contributions driven by one dimension-eight term and SM couplings, thus extending (and completing) the effort initiated in Chala et al. (SciPost Phys 11:065, 2021). arXiv:2106.05291 , in which quantum corrections from pairs of dimension-six interactions were considered. We highlight some interesting consequences, including the renormalisation of loop-induced interactions by tree-level generated terms and, more importantly, the validity of positivity bounds on different operators inducing anomalous gauge quartic couplings.