A POSSIBLE SU(9) GRAND UNIFIED MODEL

In this letter, we propose a Higgs mechanism which is different from the usualone at the first step of spontaneous symmetry breaking. Using this new Higgs mechanismwe discuss an SU(9) model which can accommodate three generations of light fer-mions and sustains the asymptotic freedom of SU(3)_c.     

THE CONSTRUCTION OF A TWO-LOOP FINITE SUPERSYMMETRY SU(5) MODEL

By solving the constraint equations of two-loop finiteness another type of two-loop finite SU(5) ground unified model is given in this paper.There is only one pair of light Higgs doublet,and the other Higgs particles are all superheavy (～M_x).The ordinary CKM-mixing can be obtained only in the low energy region.     

Phase Structure of Z4 Lattice Gauge Theory Coupled to the Higgs Field

The phase structure of Z₄ lattice gauge theory coupled to the Higgs field is studied by using real space renormalization group analysis.The phase diagram showes that the Higgs region is smoothly connected with the confined region.     

Neutral Higgs Effects on Rare Decay B→Xsl+l－ in the T2HDM

We calculate the new physics contributions to the branching ratios of the rare decays B→X_sl⁺l^－(l=e,μ) induced by neutral Higgs bosons loop diagrams in the top quark two-Higgs-doublet model (T2HDM). From the numerical calculations, we find that (a) the neutral Higgs boson's correction to B→X_sl⁺l^－ decays interferes constructively with its standard model counterpart, but small in magnitude; (b) the neutral Higgs contributions to the branching ratio of B→X_sl⁺l^－ decay can be neglected safely if their masses are larger than 100GeV and tanβ≤40.     

Phase Structure of Z3 Lattice Gauge Theory Coupled With the Higgs Field

in the scheme of Migdal-Kadanoff renormalization group transformation, the Phase structure of Z₃ lattice gauge theory coupled with the Higgs field in four dimension space is studied.The phase diagram shows that among the three of the Higgs egion, confined region and free charge region,the first two regions are smoothly connected with each other.     

Rare decays B0s,d→l+l－ in a top quark two-Higgs-doublet model

In the framework of T2HDM, we calculated the new physics contributions involving neutral Higgs bosons to the branching ratios of B⁰_s,d→l⁺l^－ (l=e, μ) decays. Comparing the theoretical predictions with the experimental upper-limits, we found that (a) The data of Br(B⁰_d→l⁺l^－) give the upper bound on tanβ: tanβ≤22, while Br(B⁰_s→l⁺l^－) give tanβ≤12 for fixed δ=0°, m_H+=350 GeV, m_H0=160 GeV, m_h0=115 GeV and m_A0=120 GeV; (b) A light neutral Higgs boson mass m_h0 (m_A0) less than 50 GeV (120 GeV) is excluded by the data of branching ratios for B⁰_s,d→l⁺l^－(l=μ) decays with tanβ=10; (c) The bounds on m_h0 and tanβ, or m_A0 and tanβ are strongly correlated: a smaller (larger) tanβ means a lighter (heavier) neutral Higgs boson.

     

SU(3)C×SU(2)I×U(1)Y Theory of Composite Leptons

Assuming Higgs Assuming coupling to be the only origin of parity non-conservation, an SU(3)_C×SU(2)_I×U(1)_Y theory of composite leptons is established in the Scheme of three generations and supersymmetry.     

On the Observation Effects of Higgs Particle in e+e—→bb Z0 and tt－Z0 at LEP Ⅱ and NLC

According to the Minimal Standard Model and the Extended Standard Model with two Higgs doublets, we calculated the total cross sections and differential cross sections for the e⁺e^—→bb Z⁰ and tt－Z⁰ at the LEP Ⅱ and NLC energies in order tO study the possible observational effects of the Higgs particle. We found that the observation for the e⁺e^—→bb Z⁰ can give the information on the Higgs particle as long as the mass of the Higgs particle M_H≤140GeV. However, for the e⁺e^—→tt－Z⁰ the effect from Higgs particle will be completely suppressed by the electrowead background and cannot be observed, no matter whether the Higgs particle is heavy or light.     

THE U1 GAUGE FIELD IN A SUN GAUGE FIELD AND THE QUANTIZED VALUES OF DUAL CHARGES

Let F be a SU_N gauge field on the space-time manifold M₄, b_λ（x） （λ=0,1, 2, 3） the gauge potentials, the field strengths and Q（x） a Higgs field. All quantities b, f_λμ and Q（x） are SU_N'-valued, i.e. they are represented by N×N anti-hermitian traceless matrices.Let M₄' be the set of x such that Q（x）≠0 and define on M₄', where The following results are obtained:Theorem 1. The 1st set of Maxwell equations F_λμ,v+F_μv,λ+F_vλ,μ=0 are satisfied for arbitrary b_λ if and only if with Here s is an integer, 1≤s≤N-1.Suppose the conditions in theorem 1 are satisfied.Theorem 2. If s is a space-like two-dimensional surface, the value of dual charges contained in s defined by is equal to lq', where l is an integer and Theorem 3. The value of dual charges contained in S is equal to the integral which is independent of the gauge potentials.Theorem 4. The least positive value q' of dual charge can be attained by some Higgs fields.Remarks（a） When N=2, the results obtained are consistent with those of t Hooft, Arafune and Hou etc.（b） For N=3, we give an answer to the question of quantized values of dual charges which was discussed by Marciano and Pagels.（c） The Higgs field ø（x） is a mapping from M'₄ into the AⅢ type symmetric space SU_N/S(U_s X U_N-s) and the integral is an extension of Kronecker index for N=2.     

DISCUSSION OF A SU(2)×U(1)×S3 MODEL WITH TWO HIGGS DOUBLETS AND CALCULATION OF CABIBBO-LIKE-PARAMETERS

In this paper a SU(2)×U(1)×S₃ model with two Higgs doublets is discussed in detail. It is shown that besides the case discussed by Segre et al., there is another physically interesting case. We investigate the latter in detail. In This case, taking the quark masses and the Cabibbo angle θ₁ as input parameters, we can obtain Cabibbo angles θ₂ and θ₃ which have the same order of magnitude as θ₁. Finally the appearance of a pseudo Goldstone boson in the model is discussed, a method to overcome the difficulty is given, and the physical results of this case which do not contradict with the experiments are discussed.     

THE POSSIBILITY OF ξ(2.22) BEING THE STANDARD HIGGS BOSON

We discuss the possibility that the new particle ξ(2.22) is a mixed state of the Higgs boson of the minimal electro-weak model and the p-wave charmonium χ(3.415). If this possibility stands, we shall have Γ_ξ=1.1 keV, Br(ξ→K+K^－)～1/5 and a heavy quark (m>75GeV).     

The W-boson mass and precision tests of the Standard Model

We have examined the electroweak radiative corrections in the LEP precision data in view of the new measurements of M_W and m_t as well as the recent progress in the higher order radiative corrections. From the minimal L²-fit to the experimental Z-decay parameters (with the aid of a modified ZFITTER program), we predict that M_W=80.29(4)(2)rGeV where the first error is due to the uncertainty in the fitted m_t for a fixed m_H and the second error comes from the m_H in the range 60􊖸rGeV, which is to be compared with the current world average M_W=80.23(18)rGeV. The current world average value of M_W and the 1994 LEP data definitely favor nonvanishing electroweak radiative corrections and are consistent with a heavy m_t as measured by the recent CDF report but with a heavy Higgs scalar of about 400rGeV within the context of the minimal standard model. The sensitivity of and the errors in the best fit solutions due to the uncertainties in the gluonic coupling !_s(M_Z) and !(M_Z) are also studied carefully. In addition we discuss how the future precision measurements of M_W can provide a decisive test for the standard model with radiative corrections and give a profound implication for the measurement of t-quark and Higgs masses.     

SU(3) LEPTON MODEL AND THE DYNAMICAL GENERATION OF LEPTON MASS DIFFERENCES

A SU (3) lepton model is discussed in which the left- and right-handed leptons are on equal footing and sin²θ_w=1/4 is obtained. Dynamical symmetry breaking is investigated to see if lepton mass difference can be generated in this way so as to reduce the number of Higgs scalars and Yukawa coupling constants. Calculating the effective potential up to two-loop graphs gives the results that composite Goldstone bosons can exist only when the remained Yukawa coupling constant lies within a certain range. The corresponding heavy lepton mass obtained is about 130 GeV.     

UNIFIED ELECTRO-WEAK MODEL IN SU (3)

In this paper a unified electro-weak model for leptons based on the SU(3) gaugegroup is suggested by means of four kinds of realization for the generators of thegroup. For all low energy electro-weak processes, this model predicts the same resultsas the conventional Weinberg-Salam model does. The Weinberg angle is shown to be sin²θ_w=1/4 in a natural way. When the Higgs self potential respects a discrete symme-try Φ→-Φ, a new conserved quantum number called weak strangeness emerges fromthe model after spontaneous symmetry breaking. In the present model there existanother four heavy vector gauge bosons V^± and U^±± together with some heavyfermions and Higgs scalars, which have non vanishing weak strangeness quantumnumbers. These weak strange particles have no direct couplings with leptons. Theirexistence will not influence the low energy electro-weak processes. Nevertheless, theycan be produced in pairs in high energy collisions and the lightest of them should bestable if the conservation of weak strangeness is exact. The experimental implicationsand the possibility of violation of the conservation of weak strangeness are also dis-cussed.     

H→γγ: a comment on the indeterminacy of non-gauge-invariant integrals

We reanalyze the recent computation of the amplitude of the Higgs boson decay into two photons presented by Gastmans et al. [1, 2]. The reasons for why this result cannot be the correct one have been discussed in some recent papers. We address here the general issue of the indeterminacy of integrals with four-dimensional gauge-breaking regulators and to which extent it might eventually be solved by imposing physical constraints. Imposing gauge invariance as the last step upon R_ξ-gauge calculations with four-dimensional gauge-breaking regulators, allows us to recover the well known H→γγ result. However we show that in the particular case of the unitary gauge, the indeterminacy cannot be tackled in the same way. The combination of the unitary gauge with a cutoff regularization scheme turns out to be non-predictive.     

A Definition of Time

We present a definition of time based on a particle’s interaction with the Higgs field. Just as a particle acquires mass by interacting with the Higgs field our model proposes that time is acquired via the energy of virtual particles participating in the quantum exchange interactions with Higgs particles. We show that, for macroscopic time, this definition accords with the Lorentz transformation of special relativity. The research of the authors was supported by NSERC grants.     

A disorder parameter that test for confinement in gauge theories with quark fields

We propose to use a suitably defined vortex free energy as a disorder parameter in gauge field theories with matter fields. It is supposed to distinguish between the confinement phase, massless phase(s) and Higgs phase where they exist. The matter fields may transform according to an arbitrary representation of the gauge group. We compute the vortex free energy by series expansion for a Z₂ Higgs model and for SU(2) lattice models with quark or Higgs fields in the fundamental representation at strong coupling (confinement phase), and for the Z₂ Higgs model in the range of validity of low-temperature expansions (Higgs phase). The results are in agreement with the expected behavior.     

A generalized self-dual Chern-Simons Higgs theory

In the recently discovered Chern-Simons model, the reduction to a Bogomol'nyi bound or self-duality depends crucially on the specific form of the Higgs potential energy function, which is characterized by a ⁶ type self-interaction. The purpose of this paper is to show that a much wider class of Higgs self-interaction may be allowed to achieve self-duality provided that the kinetic energy term of the Higgs scalar is suitably modified. The existence of topological multivortex solutions is also established. Furthermore, it is remarked that the Meissner effect may occur in the model.     

A toy model for Hidden Weinberg-Salam Higgs particle

We show that in theSU(2)×U(1) model with one more Higgs singlet, the Weinberg-Salam Higgs can be made Hidden.     

A U(1) gauge-Higgs system with a radial degree of freedom

The phase diagram of a lattice U(1) gauge-Higgs model is derived without freezing the Higgs field length. For sufficienly small Higgs self-coupling strength, the “confinement” and “Higgs” phases are separated, in contrast to what is observed in the fixed length model.