Asymptotic freedom,light quarks and the origin of the ΔT = 12 rule in the non-leptonic decays of strange particles

A dynamical mechanism for the $\text{ΔT =}\text{1}\text{2}$ rule in the non-leptonic decays of strange particles is considered. The weak interactions are described within the Weinberg-Salam model while the strong interactions are assumed to be mediated by the exchange of an octet of colour vector gluons. It is shown that the effect of the strong interactions gives rise to new operators in the effective Hamiltonian of weak interactions which contain both left- and right-handed fermions. These operators satisfy the $\text{ΔT =}\text{1}\text{2}$ rule, and estimates within the relativistic quark model indicate that their contribution dominates the physical amplitudes of the K → 2π, 3π decays.     

Comment on the ψ′→J/ψππ decay

When calculated in perturbation theory, renormalized coupling constants and masses defined in the minimal subtraction (MS) scheme depend on the unit of mass μ, and they are not in general equal to their corresponding physical quantities. This feature inherent to the MS scheme is discussed in QED and in the Weinberg-Salam model. The relations between the MS-renormalized weak boson masses and their physical values are obtained, which are important in the precise determination of theW andZ masses. Also briefly discussed are the convergence property of perturbation series and the heavy particle decoupling in the MS scheme.     

Remarks on Higgs-boson interactions with nucleons

Low-energy hadronic transitions induced by Higgs or Higgs-like bosons are considered. In particular, it is shown that the Higgs coupling to nucleons is fixed. Implications for the models with muon number nonconservation in the Higgs sector are discussed.     

Spin vortices in the Abelian–Higgs model with cholesteric vacuum structure

We continue the study of U(1)$U\left(1\right)$ vortices with cholesteric vacuum structure. A new class of solutions is found which represent global vortices of the internal spin field. These spin vortices are characterized by a non-vanishing angular dependence at spatial infinity, or winding. We show that despite the topological Z₂${\mathbb{Z}}_2$ behavior of SO(3)$SO\left(3\right)$ windings, the topological charge of the spin vortices is of the Z$\mathbb{Z}$ type in the cholesteric. We find these solutions numerically and discuss the properties derived from their low energy effective field theory in 1+1$1+1$ dimensions.