The main components of nuclear fusion processes that occur in stars are the radiative capture and its inverse reaction, during helium transforms into heavier elements. The deuteron-alpha radiative capture and the 6Li( ; )d reactions are studied using E ective Field Theory (EFT). The scattering amplitude for the initial P-wave states of deuteron-alpha for the sum of E1 and E2 transition are found, up to next to leading order(NLO). Furthermore, the photodisintegration rate of the 6Li( ; )d reaction is calculated. The obtained results are in good agreement with the available experimental data and those of other theoretical models, at astrophysical energies.