Constraints on the transition redshift from the calibrated gamma-ray burst Ep-Eiso correlation

We constrain the deceleration-acceleration epoch, namely the transition redshift z(tr), adopting model-independent techniques that utilize a calibrated E-p-E-iso correlation for gamma-ray bursts (GRBs). To do so, in addition to real data points, we employ up to 1000 simulated observational Hubble data (OHD) points. We then calibrate the E-p-E-iso correlation by means of the well-consolidate Bezier polynomial technique, interpolating OHD up to the second order. Once GRB data have been calibrated, we consider two strategies of cosmographic expansions, i.e. first we take a direct Hubble rate expansion around z(tr), and second the expansion of the deceleration parameter around the same redshift, but with a different order. Employing Type Ia supernovae, baryonic acoustic oscillations and GRB data sets, from Monte Carlo analyses we infer tight constraints on z(tr) and the jerk parameters at z = z(tr), namely j(tr). Our results are extremely compatible with previous outcomes and confirm the Lambda cold dark matter predictions, being slightly different in terms of the jerk parameter. In this respect, we conjecture which extensions of the concordance paradigm are possible and we compare our findings with expectations provided by generic dark energy models.