Threshold Resummation and the Total Cross Section for Top Quark Production

We discuss the motivation for resummation of the effects of initial-state soft-gluon radiation, to all orders in the strong coupling strength, for processes in which the near-threshold region in the partonic subenergy is important. We summarize our calculation of the total cross section for top quark production at hadron colliders. Comments are included on the differences between our treatment of subleading logarithmic terms and other methods.Comment: 7 pages, 1 figure, uses aipproc.sty; Paper presented by E. L. Berger, to be published in the Proceedings of DIS'97, Fifth International Workshop on Deep Inelastic Scattering and QCD, Chicago, IL, April 14 - 18, 199

The Perturbative Resummed Series for Top Production

Our calculation of the total cross section for inclusive production of $t\bar{t}$ pairs in hadron collisions is summarized. The principal ingredient of this calculation is resummation of the universal leading-logarithm effects of gluon radiation to all orders in the quantum chromodynamics coupling strength, restricted to the region of phase space that is manifestly perturbative. We present predictions of the physical cross section as a function of top quark mass in proton-antiproton reactions at center-of-mass energies of 1.8 and 2.0 TeV.Comment: 9 pages. Latex file plus 6 ps files of figures submitted togther in uuencoded form; invited talk presented by Harry Contopanagos at the XXXI Rencontres de Moriond on QCD and High Energy Hadronic Interactions, Les Arcs, France, March, 1996. New version to correct problem with unsuccessful posting of figures on May

Top Quark Production Dynamics in QCD

A calculation of the total cross section for top quark production in hadron-hadron collisions is presented based on an all-orders perturbative resummation of initial-state gluon radiative contributions to the basic quantum chromodynamics subprocesses. Principal-value resummation is used to evaluate all relevant large threshold contributions. In this method there are no arbitrary infrared cutoffs, and the perturbative regime of applicability is well defined, two attributes that significantly reduce the estimated uncertainty of the results. For $p\bar{p}$ collisions at center-of-mass energy $\sqrt{s}=1.8$ TeV and a top mass of 175 GeV, we obtain $\sigma(t\bar{t})=5.52^{+0.07}_{-0.45} pb$, in agreement with experiment. Predicted cross sections are provided as a function of top mass in $p\bar{p}$ collisions at $\sqrt{s}=2.0$ TeV and in $p p$ collisions at CERN LHC energies.Comment: 12 pages. Latex file plus 8 ps files of figures submitted altogther in uuencoded form; Invited talk presented by E. L. Berger at the International Symposium on Heavy Flavor and Electroweak Theory, Beijing, August 16 - 19, 199

Non-leading Logarithms in Principal Value Resummation

We apply the method of principal value resummation of large momentum-dependent radiative corrections to the calculation of the Drell Yan cross section. We sum all next-to-leading logarithms and provide numerical results for the resummed exponent and the corresponding hard scattering function.Comment: 22 pages (LaTeX), 5 figures not included; available upon request from [email protected], ANL-HEP-PR-94-25, ITP-SB-94-3

The structure functions of longitudinal virtual photon at low virtualities

The structure functions of longitudinal virtual photon at low virtualities are calculated in the framework of chiral pertubation theory(ChPT) in the zero and first order of ChPT. It is assumed that the virtuality of target longitudinal photon is much less than the virtuality of the hard projectile photon and both are less than the characteristic ChPT scale.Comment: 16 pages, 8 figure

Calculation of the Cross Section for Top Quark Production

We summarize calculations of the cross section for top quark production at hadron colliders within the context of perturbative quantum chromodynamics, including resummation of the effects of initial-state soft gluon radiation to all orders in the strong coupling strength. In our approach we resum the universal leading-logarithm contributions, and we restrict the calculation to the region of phase space that is demonstrably perturbative. We compare our approach with other methods. We present predictions of the physical cross section as a function of the top quark mass in proton-antiproton reactions at center-of-mass energies of 1.8 and 2.0 TeV, and we discuss estimated uncertainties.Comment: 13 pages, LaTeX, including 6 ps files of figures. Invited paper presented by E. L. Berger at the XIth Topical Workshop on Hadron Collider Physics, Abano Terme, Padova, Italy, May, 199

Soft Resummation of Quark Anomalous Dimensions and Coefficient Functions in MS-bar Factorization

The asymptotic behaviour at large N of the MS-bar quark anomalous dimensions is derived to all orders assuming only MS-bar factorization and standard results for the exponentiation of soft logarithms in the quark initiated bare cross sections for deep inelastic scattering and Drell-Yan. The result is then used to write the MS-bar quark coefficient functions in a form in which all terms of $O(\ln^m N)$ are resummed.Comment: 12 page

Principal Value Resummation

We present a new resummation formula for the Drell-Yan cross section. The formal resummation of threshold corrections in Drell-Yan hard-scattering functions produces an exponent with singularities from the infrared pole of the QCD running coupling. Our reformulation treats such `infrared renormalons' by a principal value prescription, analogous to a modified Borel transform. The resulting expression includes all large threshold corrections to the hard scattering function as an asymptotic series in $\alpha_s$, but is a finite function of $Q^2$. We find that the ambiguities of the resummed perturbation theory imply the presence of higher twist corrections to quark-antiquark hard-scattering functions that begin at $\Lambda_{QCD}/Q$. This suggests an important role for higher twist in the phenomonolgy of hadron-hadron inclusive cross sections. We also discuss the numerical evaluation of the exponent and its asymptotic perturbation series for representative values of $Q^2$.Comment: 28 pages, ITP-SB-93-6

Electroweak-boson hadroproduction at large transverse momentum: factorization, resummation, and NNLO corrections

We study the resummation of singular distributions for electroweak-boson production at large transverse momentum in hadronic collisions. We describe the factorization properties of the cross section near partonic threshold and construct the resummed cross section at next-to-leading logarithmic accuracy in moment space in terms of soft gluon anomalous dimensions. We present full analytical results for the expansion of the resummed cross section up to next-to-next-to-leading order. Our results can be applied to W, Z, and virtual gamma production at hadron colliders.Comment: 15 pages LaTeX, 2 postscript figure