arXiv subjects
Publications and source records attributed to W. T. Giele.
We report the results of a next-to-leading order event generator of purely gluonic jet production. This calculation is the first step in the construction of a full next-to-leading order calculation of three jet production at hadron colliders. Several jet-algorithms commonly used in experiments are implemented and their numerical stability is investigated.
We discuss the possibilities for extracting information on the parton density functions and the strong coupling constant from one- and two-jet events at the Fermilab TEVATRON. First we study the inclusive two-jet triply differential cross section $d^3σ/dE_Tdη_1dη_2$. Different $η_1$ and $η_2$ pseudorapidity regions are directly related to the parton momentum fractions at leading order and the shape of the triply differential distribution at fixed transverse energy $E_T$ is a particularly powerful tool for constraining the parton distributions at small to moderate $x$ values. Second, we consider the one-jet inclusive transverse energy distribution where there is impressive agreement between theory and experiment over a wide range of transverse energy. By equating the next-to-leading order theoretical prediction for a given set of input parton densities with the published CDF data, the evolution of the strong coupling constant at scale $μ$ can be studied between $μ\sim 50~$GeV and $μ\sim 400~$GeV. This evolution is in agreement with QCD and corresponds to $α_s(M_Z)$ = 0.121 for the MRSA parameterisation.
Hadron colliders offer a unique opportunity to test perturbative QCD because, rather than producing events at a specific beam energy, the dynamics of the hard scattering is probed simultaneously at a wide range of momentum transfers. This makes the determination of $\al$ and the parton density functions (PDF) at hadron colliders particularly interesting. In this paper we restrict ourselves to extracting $\al$ for a given PDF at a scale which is directly related to the transverse energy produced in the collision. As an example, we focus on the single jet inclusive transverse energy distribution and use the published '88-'89 CDF data with an integrated luminosity of 4.2 pb$^{-1}$. The evolution of the coupling constant over a wide range of scales (from 30~GeV to 500~GeV) is clearly shown and is in agreement with the QCD expectation. The data to be obtained in the current Tevatron run (expected to be well in excess 100 pb$^{-1}$ for both the CDF and DØ experiments) will significantly decrease the experimental errors.
We study the inclusive two jet triply differential cross section $d^3σ/dE_Tdη_1dη_2$ at Fermilab energies. Different $η_1$ and $η_2$ pseudorapidity regions are directly related to both the parton level matrix elements and the parton densities at leading order. We present the next-to-leading order [${\cal O}(α_s^3)$] corrections and show that the shape of the distribution at fixed transverse energy $E_T$ is a particularly powerful tool for constraining the parton distributions at small to moderate $x$ values. We investigate the renormalisation/factorisation scale uncertainty present in the normalisation and shape of the distribution at next-to-leading order. We discuss specific slices of the distribution, the same-side/opposite side ratio and the signed pseudorapidity distribution, in detail and compare them with preliminary experimental data.
We summarize the motivations for and the status of the calculation of the $W +$ heavy quark production process in $p \bar p$ colliders to Next-to-Leading Order in QCD. This process can be used to constrain the strange quark distribution function at high $Q^2$ at the Tevatron, and also to study the bottom content of $W+1$~jet events. In addition, when crossed, the calculation essentially describes the single top quark production process to Next-to-Leading Order in QCD.
We study the two-jet inclusive cross section via the triply differential distribution $d^3σ/dE_{T}dη_1 dη_2$ to next-to-leading order in QCD. The predicted distributions can be compared directly with forthcoming data from the D0 and CDF experiments at Fermilab. We discuss differences with the leading-order predictions, and examine uncertainties due to the choice of scale and parton density.
We study the production of single isolated leptons at large transverse momentum, $p_T^\ell > M_W/2$. The dominant source of such leptons is production of an on-shell $W$ boson recoiling against a hard jet. Vetoing this jet forces the $W$ boson to be produced off resonance and significantly reduces the standard model cross section, thereby enhancing the discovery prospects for non standard model physics. A significant number of events have the topologically interesting signature of a large $p_T$ lepton balancing a jet with little measured missing transverse energy.