Higgs particle production by Z→Hγ

The rate for the decay of a Z-boson into a Higgs boson and monochromatic photon is computed to leading order in the standard SU(2) × U(1) gauge theory. The coupling has contributions from fermion and W-boson loops. The W-boson loop dominates unless the number of heavy fermion generations exceeds six. The branching ratio computed from the W-boson loop contribution, B(Z→Hγ), is approximately 2 × 10^?6$\text{(1?(}\text{M}{}_{\mathrm{<mtext>H</mtext>}}{}^2\text{M}{}_{\mathrm{<mtext>Z</mtext>}}{}^2\text{))}{}^3$.     

Quantum corrections from nonresonant WW scattering

An estimate is presented of the leading radiative corrections to low energy electroweak precision measurements from strong nonresonant WW scattering at the TeV energy scale. The estimate is based on a novel representation of nonresonant scattering in terms of the exchange of an effective scalar propagator with simple poles in the complex energy plane. The resulting corrections have the form of the corrections from the standard model Higgs boson with the mass set to the unitarity scale for strong WW scattering.     

Z′ bosons, the NuTeV anomaly, and the Higgs boson mass

Fits to the precision electroweak data that include the NuTeV measurement are considered in family universal, anomaly free U(1) extensions of the Standard Model. In data sets from which the hadronic asymmetries are excluded, some of the Z′ models can double the predicted value of the Higgs boson mass, from ～60 to ～120 GeV, removing the tension with the LEP II lower bound, while also modestly improving the χ ² confidence level. The effect of the Z′ models on both m _H and the χ ² confidence level is increased when the NuTeV measurement is included in the fit. Both the original NuTeV data and a revised estimate by the PDG are considered.     

Chiral suppression of scalar-glueball decay

Since glueballs are SU(3)Flavor singlets, they should couple equally to u, d, and s quarks, so that equal coupling strengths to pi+ pi- and K+ K- are expected. However, we show that chiral symmetry implies the scalar-glueball amplitude for G0 --> qq is proportional to the quark mass, so that mixing with ss mesons is enhanced and decays to K+ K- are favored over pi+ pi-. Together with evidence from lattice calculations and experiment, this supports the hypothesis that f0(1710) is the ground state scalar glueball.     

The price of natural flavour conservation in neutral weak interactions

The natural conservation of flavours to O(G_F²) in neutral weak interactions severely constrains choices of gauge groups as well as their fermion representations. In the absence of exactly conserved quantum numbers other than charge, and of |ΔQ| ? 2 charged currents, essentially the only weak and electromagnetic gauge groups whose neutral interactions naturally conserve all flavours are SU(2)_L ? U(1) and SU(2)_L ? [U(1)]². The plausible extensions of these gauge groups to grand unified models including the strong interactions are based on SU(5) and SO(10) respectively. Making the SU(5) model completely natural, including in the Higgs sector, gives the prediction $\text{m}{}_{\mathrm{<mtext>d</mtext>}}\text{/m}{}_{\mathrm{<mtext>e</mtext>}}\text{? m}{}_{\mathrm{<mtext>s</mtext>}}\text{/m}{}_{\mathrm{\mu }}\text{? m}{}_{\mathrm{<mtext>b</mtext>}}\text{/m}{}_{\mathrm{\tau }}\text{? 2605}$ where τ is the probable new heavy lepton and b is the conjectured third flavour of charge $\text{?1}\text{3}\text{quark}$. The SO(10) model contains a potential SU(2)_L ? SU(2)_R ? U(1) weak and electromagnetic gauge group, and has a complicated Higgs structure which does not naturally conserve quark flavours.     

Radiative decays as tests of the symmetries of the Ψ particles

The success of the Okubo-Iizuka-Zweig rule for decays of Ψ and Ψ′ suggests that the radiative decays Ψ → γ + hadrons should be dominated by intermediates like Ψ → Ψ′ hadrons. This mechanism is consistent with experimental data which show Γ(Ψ → ?⁰π⁰) and Γ(Ψ → ηγ) to be comparable. if all Ψ-like particles are isoscalar, $\text{Γ(Ψ →}{}^0\text{γ)}$ should be very small. If all Ψ-like particles are SU(3) singlets, Γ(Ψ → η′γ)/Γ(Ψ → ηγ) should be large. Substantial violation of our predictions would be circumstantial evidence for the existence of non-singlet new quarks.     

Breaking of scale invariance in the presence of instantons

The instanton tunnelling amplitude induces a nonperturbative violation of scale invariance which can be understood in terms of the anomaly in the trace of the stress energy tensor. The scaling violation determined by the trace anomaly is compared with the explicitly constructed instanton amplitude in the one-loop approximation.