@misc{10481/76512,
year = {2022},
month = {6},
url = {http://hdl.handle.net/10481/76512},
abstract = {Focusing on four-Higgs interactions, we analyze the robustness of tree-level-derived positivity bounds
on standard model effective field theory (SMEFT) operators under quantum corrections. Among other
results, we demonstrate that: (i) Even in the simplest extensions of the Standard Model, e.g., with one new
scalar singlet or with a neutral triplet, some positivity bounds are strictly violated; (ii) the mixing of the
dimension-eight operators under renormalization, which we compute here for the first time, can drive them
out of their positivity region; (iii) the running of the dimension-eight interactions triggered by solely
dimension-six terms respects the positivity bounds. Our results suggest, on one hand, that departures from
positivity within the SMEFT, if ever found in the data, do not necessarily imply the breaking of unitarity or
causality, nor the presence of new light degrees of freedom. On the other hand, they lead to strong
constraints on the form of certain anomalous dimensions.},
organization = {Spanish Government	PID2019 - 106087 GB-C21/C22},
organization = {Junta de Andalucia},
organization = {European Commission	FQM 101	
A-FQM-211-UGR18	
P18-FR-4314},
organization = {Spanish Government},
publisher = {American Physical Society},
title = {Positivity bounds in the standard model effective field theory beyond tree level},
doi = {10.1103/PhysRevD.105.L111901},
author = {Rodríguez Chala, Mikael and Santiago Pérez, José},
}