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Cross Section for Topcolor Z' decaying to top-antitop

Robert M. Harris, Christopher T. Hill, Stephen J. Parke

TL;DR

This paper computes leading-order cross sections for p pbar -> Z'_t -> t tbar at the Fermilab Tevatron within Topcolor Z' frameworks, exploring four coupling scenarios (Models I–IV) and varying the width and mixing parameters. It derives analytic parton-level expressions, convolutes them with LO parton distribution functions, and analyzes sensitivity to PDFs and the renormalization scale, reporting mass-dependent results for M_Z'_t between 400 and 950 GeV with a reference width of 0.02 M. The study finds Model IV (leptophobic) typically yields the largest cross sections, making it the most accessible to Tevatron data, while Model I shows a weaker signal due to its narrower production. The results, including a tabulated set of cross sections and discussions of experimental implications, guide searches for Topcolor Z' resonances decaying to top pairs and illustrate the impact of model choice and width on discovery prospects.

Abstract

We present a calculation of the cross section for the process p pbar -> Zt' -> t tbar, the production of a Topcolor Z' with subsequent decay to top quark pairs in proton anti-proton collisions at 1.8 TeV. Variations of the cross section with varying assumptions about the model, the resonance width, the parton distributions and the renormalization scale are presented.

Cross Section for Topcolor Z' decaying to top-antitop

TL;DR

This paper computes leading-order cross sections for p pbar -> Z'_t -> t tbar at the Fermilab Tevatron within Topcolor Z' frameworks, exploring four coupling scenarios (Models I–IV) and varying the width and mixing parameters. It derives analytic parton-level expressions, convolutes them with LO parton distribution functions, and analyzes sensitivity to PDFs and the renormalization scale, reporting mass-dependent results for M_Z'_t between 400 and 950 GeV with a reference width of 0.02 M. The study finds Model IV (leptophobic) typically yields the largest cross sections, making it the most accessible to Tevatron data, while Model I shows a weaker signal due to its narrower production. The results, including a tabulated set of cross sections and discussions of experimental implications, guide searches for Topcolor Z' resonances decaying to top pairs and illustrate the impact of model choice and width on discovery prospects.

Abstract

We present a calculation of the cross section for the process p pbar -> Zt' -> t tbar, the production of a Topcolor Z' with subsequent decay to top quark pairs in proton anti-proton collisions at 1.8 TeV. Variations of the cross section with varying assumptions about the model, the resonance width, the parton distributions and the renormalization scale are presented.

Paper Structure

This paper contains 6 sections, 38 equations, 7 figures, 2 tables.

Table of Contents

  1. Topcolor
  2. Topcolor $Z'$ Models
  3. Non-Standard Topcolor $Z'_t$ Production and Decay
  4. Cross Section at the Tevatron
  5. Width
  6. Numerical Results for the Tevatron

Figures (7)

  • Figure 1: The lowest order cross section for the process $p\bar{p} \rightarrow Z'_t \rightarrow t\bar{t}$ from table \ref{['tab_xsec']}.
  • Figure 2: For Model I we plot the $Z'_t$ cross section for various widths divided by the cross section for a width $\Gamma=.02M$.
  • Figure 3: For Model II we plot the $Z'_t$ cross section for various widths divided by the cross section for a width $\Gamma=.02M$.
  • Figure 4: For Model III we plot the $Z'_t$ cross section for various widths divided by the cross section for a width $\Gamma=.02M$.
  • Figure 5: For Model IV we plot the $Z'_t$ cross section for various widths divided by the cross section for a width $\Gamma=.02M$.
  • ...and 2 more figures