11 research outputs found

    Classical Simulation of Quantum Fields II

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    We consider the classical time evolution of a real scalar field in 2 dimensional Minkowski space with a λϕ4\lambda \phi^4 interaction. We compute the spatial and temporal two-point correlation functions and extract the renormalized mass of the interacting theory. We find our results are consistent with the one- and two-loop quantum computation. We also perform Monte Carlo simulations of the quantum theory and conclude that the classical scheme is able to produce more accurate results with a fraction of the CPU time.Comment: 16 pages, 8 figures, now matches published versio

    The Little Higgs from a Simple Group

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    We present a model of electroweak symmetry breaking in which the Higgs boson is a pseudo-Nambu-Goldstone boson. By embedding the standard model SU(2) x U(1) into an SU(4) x U(1) gauge group, one-loop quadratic divergences to the Higgs mass from gauge and top loops are canceled automatically with the minimal particle content. The potential contains a Higgs quartic coupling which does not introduce one-loop quadratic divergences. Our theory is weakly coupled at the electroweak scale, it has new weakly coupled particles at the TeV scale and a cutoff above 10 TeV, all without fine tuning. We discuss the spectrum of the model and estimate the constraints from electroweak precision measurements.Comment: 29 pages, referencing error corrected after death threats, dude remove

    Top quark associated production of the neutral top-pion at high energy e+ee^{+}e^{-} colliders

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    In the context of topcolor-assisted technicolor (TC2) models, we calculate the associated production of the neutral top-pion πt0\pi_{t}^{0} with a pair of top quarks via the process e+ettˉπt0e^{+}e^{-}\longrightarrow t\bar{t}\pi_{t}^{0}. We find that the production cross section is larger than that of the process e+ettˉH e^{+}e^{-}\longrightarrow t\bar{t}H both in the standard model (SM) and in the minimal supersymmetric SM. With reasonable values of the parameters in TC2 models, the cross section can reach 20fb20fb. The neutral top-pion πt0\pi_{t}^{0} may be direct observed via this process.Comment: Latex files, 10 pages and 3 figure

    Applicability of perturbative QCD to ΛbΛc\Lambda_b \to \Lambda_c decays

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    We develop perturbative QCD factorization theorem for the semileptonic heavy baryon decay ΛbΛclνˉ\Lambda_b \to \Lambda_c l\bar{\nu}, whose form factors are expressed as the convolutions of hard bb quark decay amplitudes with universal Λb\Lambda_b and Λc\Lambda_c baryon wave functions. Large logarithmic corrections are organized to all orders by the Sudakov resummation, which renders perturbative expansions more reliable. It is observed that perturbative QCD is applicable to ΛbΛc\Lambda_b \to \Lambda_c decays for velocity transfer greater than 1.2. Under requirement of heavy quark symmetry, we predict the branching ratio B(ΛbΛclνˉ)2B(\Lambda_b \to \Lambda_c l{\bar\nu})\sim 2%, and determine the Λb\Lambda_b and Λc\Lambda_c baryon wave functions.Comment: 12 pages in Latex file, 3 figures in postscript files, some results are changed, but the conclusion is the sam

    Neutral top-pion and lepton flavor violating processes

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    In the context of topcolor-assisted techicolor(TC2) models, we study the contributions of the neutral top-pion πt0\pi^{0}_{t} to the lepton flavor violating(LFV) processes liljγl_{i}\to l_{j}\gamma and liljlklll_{i}\to l_{j}l_{k}l_{l}. We find that the present experimental bound on μeγ\mu\to e\gamma gives severe constraints on the free parameters of TC2TC2 models. Taking into account these constraints, we consider the processes liljlklll_{i}\to l_{j}l_{k}l_{l} generated by top-pion exchange at the tree-level and the one loop level, and obtain Br(μ3e)2.87×1014Br(\mu\to 3e)\simeq 2.87\times 10^{-14}, 1.1×1015Br(τ3e)Br(τ2eμ)4.4×10151.1\times 10^{-15}\leq Br(\tau\to 3e)\simeq Br(\tau\to 2e\mu)\leq 4.4 \times 10^{-15} , 3.1×1015Br(τ2μe)Br(τ3μ)1.5×10143.1\times 10^{-15} \leq Br(\tau\to 2\mu e)\simeq Br(\tau\to 3\mu)\leq 1.5 \times 10^{-14} in most of the parameter space.Comment: latex files,16 pages, 6 figures. Submitted to Phys. Rev.

    Neutral currents and strangeness of the nucleon from the NuTeV experiment

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    The NuTeV neutrino experiment ran in 1997-1998 at Fermilab and accumulated the world’s highest statistics samples of high energy (20-300 GeV) separated neutrino and anti-neutrino interactions. The NuTeV collaboration has used this data to extract the electroweak parameter, sin2θW, from the measurement of the ratios of neutral current to charged current neutrino and antineutrino deep inelastic scattering cross sections. This result, though consistent with previous neutrino electroweak measurements, is not consistent with predictions. One interpretation involves the possibility that the strange quark sea carries significantly more momentum in the nucleon than the anti-strange sea. We report on the direct study of this possibility from measurements of charged-current interactions on strange quarks in our neutrino and anti-neutrino beams.PACS: 12.15.Mn Neutral Currents – 13.60.Hb Cross-sections in inelastic lepton-hadron scatterin
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