Improving sampling and calibration of GRBs as distance indicators

We present a sample of 81 Gamma-Ray Bursts (GRBs) observed by Fermi-GBM for which we compute the distance moduli and use them to constrain effective dark energy models. To overcome the circularity problem affecting the use of GRBs as distance indicators, we calibrate the Amati relation of our sample by employing a cosmology-independent technique. Specifically, the latest observational Hubble parameter data are used to approximate the cosmic expansion through a Bezier parametric curve. We subsequently obtain the distance moduli of the GRBs and include it in a suite of recent cosmological (Planck Compressed 2018 and 2012 BOSS release of BAO data) and local (Pantheon SNIa) observations of the expansion history to compute Bayesian posterior constraints for the standard cosmological model $\Lambda$CDM, $\omega$CDM, and for the CPL parametrization. We highlight the advantages that our dataset and method represent over other recent GRB data.