We reconsider the strength of the electroweak phase transition in the singlet Majoron extension of the Standard Model, with a low ( < ∼ TeV) scale of the singlet VEV. A strongly first order phase transition, of interest for electroweak baryogenesis, is found in sizeable regions of the parameter space, especially when the cross-coupling λ hs |S| 2 |H| 2 between the singlet and the doublet Higgs is significant. Large Majorana Yukawa couplings of the singlet neutrinos, y i Sν c i ν i , are also important for strengthening the transition. We incorporate the LEP and Tevatron constraints on the Higgs masses, and electroweak precision constraints, in our search for allowed parameters; successful examples include singlet masses ranging from 5 GeV to several TeV. Models with a strong phase transition typically predict a nonstandard Higgs with mass in the range 113 GeV < ∼ m H < ∼ 200 GeV and production cross sections reduced by mixing with the singlet, with cos 2 θ significantly less than 1. We also find examples where the singlet is light and the decay H → SS can modify the Higgs branching ratios relative to Standard Model expectations. * current address: Barclays Capital Japan Limited
An inversional-rotational isomeric state (IRIS) scheme including first-order to fourth-order
intramolecular interactions has been developed and applied to conformational analysis of poly(trimethylene
imine) (PTMI) and poly(N-methyltrimethylene imine) (PMTMI). Bond conformations and conformational
energies of PTMI and PMTMI were evaluated from ab initio molecular orbital calculations at the MP2/6-311++G(3df, 3pd)//HF/6-31G(d) level and 1H and 13C NMR experiments for the monomeric model
compounds, CH3NR1CH2CH2CH2NR2CH3 (R1 = R2 = H; R1 = H and R2 = CH3; R1 = R2 = CH3). The IRIS
analysis yielded the following data on the polymers at 25 °C: the characteristic ratio for the infinite
chain, 3.5 (PTMI) and 4.2 (PMTMI); trans fractions of the C−C and C−N bonds, respectively, 0.29 and
0.77 (PTMI) and 0.40 and 0.65 (PMTMI); the meso-diad probability, 0.44 (PTMI) and 0.48 (PMTMI).
Intramolecular hydrogen bonds were found in the polyimines: PTMI, N−H···N (the interaction energy,
−0.83 kcal mol-1) and C−H···N (−0.15 kcal mol-1); PMTMI, C−H···N (−0.40 kcal mol-1). The chain
dimension, stereochemical configuration, and bond conformations of the polyimines are sensitive to the
first-order interaction energy around the C−C bond and the hydrogen-bond energies. Polar solvents
weaken the hydrogen bonds to increase the chain dimension and randomize the configuration.
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