Year: 2025
Type: article
Abstract: A bstract In this paper, we attempt to derive “positivity” bounds on Photon and Gluon Effective Field Theories (EFTs) at one loop level. While for the Photon case, the one loop amplitude is IR finite and well defined in the forward limit, earlier studies failed to obtain a dispersive bound on dimension-12 operators due to the dependence of the “arc integral” on the artificial low-energy scale. We show that this awkward dependence can be taken care of by analysing the ultra-violet (UV) side of dispersion relation closely. In particular, we derive an IR safe and RG improved bound at 1-loop. Thereafter, we perform a similar analysis on the Gluon EFT, which has additional complications due to ill-defined forward limit and IR divergences at 1-loop. We show that even in this case, one can get a meaningful bound at 1-loop.
Source: Journal of High Energy Physics
Authors: Jay Desai, Diptimoy Ghosh
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414320215