2023/07/06 by Corianò, Claudio, Lionetti, Stefano, Maglio, Matteo Maria · 1 citation
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2307.03038
We analyze the parity-odd correlators ⟨ JJO⟩odd, ⟨ JJT⟩odd, ⟨ TTO⟩odd and ⟨ TTT⟩odd in momentum space, constrained by conformal Ward identities, extending our former investigation of the parity-odd chiral anomaly vertex. We investigate how the presence of parity-odd trace anomalies affect such correlators. Motivations for this study come from holography, early universe cosmology and from a recent debate on the chiral trace anomaly of a Weyl fermion. In the current CFT analysis, O can be either a scalar or a pseudoscalar operator and it can be identified with the trace of the stress energy tensor. We find that the ⟨ JJO⟩odd and ⟨ TTO⟩odd can be different from zero in a CFT. This occurs when the conformal dimension of the scalar operator is Δ3=4, as in the case of O=Tμμ. Moreover, if we assume the existence of parity-odd trace anomalies, the conformal ⟨ JJT⟩odd and ⟨ TTT⟩odd are nonzero. In particular, in the case of ⟨ JJT⟩odd the transverse-traceless component is constrained to vanish, and the correlator is determined only by the trace part with the anomaly pole.