Two of the main components of nuclear fusion processes which occur in stars are the radiative capture of deuteron-alpha and its inverse reaction during which helium transforms into larger elements. One of the reactions occuring is the production of 6Li through the d(α, γ)6Li reaction that is supported by the Big Bang model. The process of radiation in the energy region 0.07 MeV ≤Ecm≤ 0.41 MeV has been studied in the framework of Effective Field Theory (EFT) at low energy. Further, within the EFT framework deuteron is assumed as a dibaryon and the coulomb effect between deuteron and alpha is ignored. The reaction amplitude for the P-wave initial states 3P2, 3P0 and 2P3/2 and the astrophysical S-factor for sum of E1 and E2 transitions are found in the framework of EFT up to NLO. The results of this model for the astrophysical S-factor at low energies are comparable with the available experimental data and those of other theoretical models.
