Bootstrapping the $a$-anomaly in $4d$ QFTs
High Energy Physics - Theory
2023-01-18 v2
Abstract
We study gapped 4d quantum field theories (QFTs) obtained from a relevant deformation of a UV conformal field theory (CFT). For simplicity, we assume the existence of a symmetry and a single -odd stable particle and no -even particles at low energies. Using unitarity, crossing and the assumption of maximal analyticity we compute numerically a lower bound on the value of the -anomaly of the UV CFT as a function of various non-perturbative parameters describing the two-to-two scattering amplitude of the particle.
Cite
@article{arxiv.2204.01786,
title = {Bootstrapping the $a$-anomaly in $4d$ QFTs},
author = {Denis Karateev and Jan Marucha and João Penedones and Biswajit Sahoo},
journal= {arXiv preprint arXiv:2204.01786},
year = {2023}
}
Comments
41 pages + appendices, 20 figures. In v2 section 2 improved, minor updates, references added