| I study the effect of relativistic corrections on the angular distribution of photons radiated in the charmonium decays {dollar}psiprime to chisb{lcub}J{rcub}{dollar} + {dollar}gamma, psiprimeprime to chisb{lcub}J{rcub} + gamma{dollar} and {dollar}chisb{lcub}J{rcub} to psi + gamma{dollar}. The relativistic corrections are indeed important as they significantly alter the shape of the angular distributions. I also study the effect of Higgs-bosons being radiated during the decay {dollar}sp3Ssb1(Qbar{lcub}Q{rcub}) to H + gamma{dollar}, compared to the lowest order (tree level) reaction. I find that the effect lowers the decay rate, but it is in general very small when compared to the rather large QCD radiative corrections previously calculated. The Higgs-corrections can only become important extensions to the Standard Model with more than one Higgs doublet. I consider two sets of Feynman diagrams which can contribute to the Lamb shift in hydrogen. The first set, recoil corrections due to multi-photon exchange diagrams, leads to a correction of order {dollar}(Zalpha)sp6 {lcub}msp2over M{rcub}{dollar}, while the other set, higher order radiative effects on the proton line, is shown to contribute, at most, to order {dollar}Zsp2alpha(Zalpha)sp5 {lcub}msp3over Msp2{rcub},{dollar} and are therefore negligible. |
