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Context. The existence of a maximum correlation angle ($\theta_{max} \gtrsim60^{\circ}$) in the two-point angular temperature correlations of cosmicmicrowave background (CMB) radiation, measured by WMAP and Planck, stands insharp contrast to the prediction of standard inflationary cosmology, in whichthe correlations should extend across the full sky (i.e., $180^{\circ}$). Theintroduction of a hard lower cutoff ($k_{min}$) in the primordial powerspectrum, however, leads naturally to the existence of $\theta_{max}$. Amongother cosmological anomalies detected in these data, an apparent dominance ofodd-over-even parity multipoles has been seen in the angular power spectrum ofthe CMB. This feature, however, may simply be due to observationalcontamination in certain regions of the sky.  Aims. In attempting to provide a more detailed assessment of whether thisodd-over-even asymmetry is intrinsic to the CMB, we therefore proceed in thispaper, first, to examine whether this odd-even parity imbalance also manifestsitself in the angular correlation function and, second, to examine in detailthe interplay between the presence of $\theta_{max}$ and this observed anomaly.  Methods. We employed several parity statistics and recalculated the angularcorrelation function for different values of the cutoff $k_{min}$ in order tooptimize the fit to the different Planck 2018 data.  Results. We find a phenomenological connection between these features in thedata, concluding that both must be considered together in order to optimize thetheoretical fit to the Planck 2018 data.  Conclusions. This outcome is independent of whether the parity imbalance isintrinsic to the CMB, but if it is, the odd-over-even asymmetry would clearlypoint to the emergence of new physics.

Missing large-angle correlations versus even-odd point-parity imbalance in the cosmic microwave background