Spin-one Bosons Research Articles

Gauge Theories of Weak Interactions

J C Taylor London: Cambridge University Press I976 pp xv + 167 price £10 Following the success of quantum electrodynamics and the ability within that theory to use relativistic perturbation and renormalization techniques to carry out calculations to arbitrary high order in the fine structure constant, there were attempts to develop a similar theory of the weak interactions. Current-algebra techniques suggested that a universal interaction could result if the weak interactions, like electromagnetic interactions, were propagated by a spinone boson.

Photon-Neutrino-Antineutrino Coupling inρ0→νν¯Decay

The decay ${\ensuremath{\rho}}^{0}\ensuremath{\rightarrow}\ensuremath{\nu}\overline{\ensuremath{\nu}}$ is postulated. The decay width is calculated by two different methods. One method involves the neutrino electromagnetic form factor and the other involves a direct $\ensuremath{\gamma}\ensuremath{\nu}\overline{\ensuremath{\nu}}$ vertex since it has been proposed that photons can interact weakly with neutrino-anti-neutrino pairs with coupling strength $g$. For the case of muon neutrinos after setting the cut-off $\ensuremath{\Lambda}$ equal to various values of the spin-one boson mass ${M}_{W}$, we estimate $g_{\ensuremath{\mu}}^{}{}_{}{}^{2}\ensuremath{\approx}{10}^{\ensuremath{-}15}$.

W 1 and W O production by colliding e +e − beams

We examine the colliding beam process, e +e − → W o ±W 1 ∓, as occuring by the one- photon process. W o is the spin-zero intermediate boson conjectured to exist by Lee. W 1 is the spin-one boson, which is the familiar weak interaction theory intermediate boson. The anomalous magnetic moment of the W 1 is assumed to be zero and the masses of the two bosons are assumed to be related, for example, by m o = 1 2 m 1 . We choose m 1 = 2 GeV and at s = 10 GeV 2, it follows that the total cross section for e +e − → W o ±W 1 ∓ is about 4 × 10 −33 cm 2.

Vacuum polarization in the Lee and Yang theory of charged spin one

The radiative correction, to ordere2, to the photon propagator in the Lee and Yang theory of charged spin-one bosons, is calculated in a dispersion-theoretic manner. Some general aspects of the ξ-limiting for malism are discussed. A useful matrix treatment of Lorentz tensors is presented in an Appendix.