We study radiative corrections to semileptonic decays. Special commutation relations between the weak and electromagnetic currents reduce the question of finiteness of i→f+e-+ν̄ to that of the finiteness of f|JμW|iZ2e. In a quark model with interactions properly chosen, standard renormalization theory is then used to prove that these quantities, hence the order-α radiative corrections to any β decay, are finite. We conclude that commutators are not enough and that some small amount of dynamics is needed to remove divergent radiative corrections.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)