Constraint on primordial magnetic fields in the light of ARCADE 2 and EDGES observations

We study the constraints on primordial magnetic fields (PMFs) in the light of Experiment to Detect the Global Epoch of Reionization Signature (EDGES) low-band observation and Absolute Radiometer for Cosmology, Astrophysics and Diffuse Emission (ARCADE 2). In the presence of PMFs, 21 cm differential brightness temperature can modify due to the heating of the gas by decaying magnetic fields. ARCADE 2 observation detected excess radio radiation in the frequency range 3-90 GHz. Using the ARCADE 2 and EDGES observations, we find the upper and lower limits on the primordial magnetic field to be 4.3�10?1 and 1.9�10?1 nG respectively using 100% observed excess radio radiation. At the length scale of 1 Mpc, the upper and lower bounds, on PMFs, corresponds to B1 Mpc=3.16�10?1 and 1.34�10?1 nG respectively.