Excited Fermion Contribution to Z Physics at One Loop

We investigate the effects induced by excited leptons at the one-loop level in the observables measured on the $Z$ peak at LEP. Using a general effective Lagrangian approach to describe the couplings of the excited leptons, we compute their contributions to both oblique parameters and $Z$ partial widths. Our results show that the new effects are comparable to the present experimental sensitivity, but they do not lead to a significant improvement on the available constraints on the couplings and masses of these states.Comment: 25 pages 6 figure

Fourth generation effects in the Bs→ννˉγB_s \to \nu \bar{\nu} \gamma decay

If the fourth generation fermions exist, the new quarks could influence the branching ratio of the decay $B_s \to \nu \bar{\nu} \gamma$. We obtain two solutions of the fourth generation CKM factor $V^*_{t's} V_{t'b}$ from the decay of $B \to X_s \gamma$. With these two solutions we calculate the new contributions of the fourth generation quark to Wilson coefficients of the decay $B_s \to \nu \bar{\nu} \gamma$. The branching ratio of the decay $B_s \to \nu \bar{\nu} \gamma$ in the two cases are calculated. In one case, our results are quite different from that of SM, but almost same in another case. If a fourth generation should exist in nature and nature chooses the former case, this B meson decay could provide a possible test of the fourth generation existence.Comment: 10 pages, Late

New Fermions at e+^+e−^- Colliders: II.~Signals and Backgrounds

We discuss the production, at high--energy e$^+$e$^-$ linear colliders, of new heavy fermions predicted by extensions of the Standard Model. We analyze in great details the various signals and the corresponding backgrounds for both pair production and single production in association with ordinary fermions. Concentrating on new leptons, we use a model detector for e$^+$e$^-$ collisions at a center of mass energy of 500 GeV, to illustrate the discovery potential of the Next Linear Colliders.Comment: 22 pages + 9 figures (not included: available by mail from A. Djouadi), Preprint UdeM-LPN-TH-93-15

Tevatron Mass Limits for Heavy Quarks Decaying via Flavor Changing Neutral Current

The dimuon and dielectron data from the Tevatron $\bar pp$ collider are used to probe for heavy quarks, which decay dominantly via flavour changing neutral current. Depending on whether the $FCNC$ decay occurs at the tree or loop level, one gets a lower mass limit of 85 or 75 GeV. The former applies to singlet, vector doublet and mirror type quarks while the latter applies to a lefthanded quark doublet of the fourth generation.Comment: 13 pages, TIFR/TH/92-58, Two figures to be supplied on reques

Higher Dimensional Operators and Low Energy Left-Right Symmetry

We consider higher dimensional operators due to quantum gravity or spontaneous compactification of extra dimensions in Kaluza-Klein type theory and their effect in the $SO(10)$ Lagrangian. These operators change the boundary conditions at the unification scale. As a result one can allow left-right symmetry to survive till very low energy (as low as $\sim$ TeV) for a wide range of values for the coupling of these higher dimensional operators and still make the theory compatible with the latest values of $\sin^2 \theta_W$ and $\alpha_s$ derived from LEP. We consider both non-supersymmetric and supersymmetric cases with standard higgses. Proton lifetime is very large in these theories.Comment: LaTeX 6 pages,UH-511-765-9

Next-to-leading order numerical calculations in Coulomb gauge

Calculations of observables in quantum chromodynamics can be performed using a method in which all of the integrations, including integrations over virtual loop momenta, are performed numerically. We use the flexibility inherent in this method in order to perform next-to-leading order calculations for event shape variables in electron-positron annihilation in Coulomb gauge. The use of Coulomb gauge provides the potential to go beyond a purely order alpha_s^2 calculation by including, for instance, renormalon or parton showering effects. We expect that the approximations needed to include such effects at all orders in alpha_s will be simplest in a gauge in which unphysically polarized gluons do not propagate over long distances.Comment: 36 pages with 7 figure

Heavy Quarks and Leptons at e+e−e^+e^- Colliders

The production of massive quarks and leptons in $e^+e^-$ collisions is studied using exact helicity amplitudes. Total cross sections as a function of $y_{\rm cut}$, in both the JADE and the $k_T$ algorithms, are presented and compared with massless results. Some invariant mass distributions are examined in relation to Higgs detection. Compact expressions for the helicity amplitudes are given.Comment: 32 Pages (20 Figs available from the authors in Postscript or via Fax ), Plain Tex, DFTT 53/9

Limits on Neutrino Mixing with new Heavy Particles

We study the effects induced by new neutral fermions below their mass threshold, due to their possible mixing with the standard neutrinos. We use as experimental constraints the recent results on lepton universality, together with the measurement of the $\mu$ decay rate and the updated LEP data. In particular, the inclusion in our data set of the most recent determinations of the $\tau$ branching fractions, mass and lifetime implies that a previous indication of a non-vanishing mixing for $\nu_\tau$ is no longer present. We obtain new stringent limits on the mixing parameters between $\nu_e$, $\nu_\mu$, $\nu_\tau$ and heavy neutral states of different weak isospin. If no assumption on the type of neutrinos involved in the mixing is made, we find \snue^2<0.0071, \snumu^2<0.0014 and \snutau^2<0.033.Comment: 12 pages, FTUV/93-47, UM-TH-93-28, CERN-TH/7150/9

Multiplicity with a Thrust Cut

We evaluate the multiplicity of hadrons in the $e^+e^-$-annihilation at a given thrust $T$ in the modified leading-log approximation, including $O(\sqrt{\alpha_s})$ corrections. The calculation is done at a large value of $\tau =1-T$ by the use of the factorisation which takes place in the one-particle-inclusive cross section at a given $\tau$. At a small $\tau$, a different type of factorisation takes place, which also enable us to evaluate the multiplicity. Two approaches are compared numerically. Measuring this quantity near $\tau =1/3$, we can determine the multiplicity ratio between a gluon-jet and a quark-jet.Comment: OCHA-PP-32, LATEX FILE, 21