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One-loop weak corrections to the $b\bar b$ cross section at TeV energy hadron colliders

E. Maina, S. Moretti, M. R. Nolten, D. A. Ross

Abstract

We investigate one-loop weak corrections to the production cross section of two $b$-jets at Tevatron and Large Hadron Collider (LHC). We establish that they are small at inclusive level but dominant in exclusive observables that have a non-trivial dependence on the helicity structure of the hard subprocesses. Such effects can serve as a test of the Standard Model (SM) and, conversely, they should be taken into account in future experimental analyses aiming at extracting possible signals of new physics.

One-loop weak corrections to the $b\bar b$ cross section at TeV energy hadron colliders

Abstract

We investigate one-loop weak corrections to the production cross section of two -jets at Tevatron and Large Hadron Collider (LHC). We establish that they are small at inclusive level but dominant in exclusive observables that have a non-trivial dependence on the helicity structure of the hard subprocesses. Such effects can serve as a test of the Standard Model (SM) and, conversely, they should be taken into account in future experimental analyses aiming at extracting possible signals of new physics.

Paper Structure

This paper contains 6 sections, 6 equations, 3 figures.

Table of Contents

  1. Introduction
  2. Production of $b$-jets at Tevatron and LHC
  3. Partonic contributions to the $pp/p\bar{p}\to b\bar{b}$ cross section
  4. Numerical results for Tevatron and LHC
  5. Conclusions
  6. Acknowledgments

Figures (3)

  • Figure 1: The total cross section contributions vs. the transverse momentum of the $b$-jet for $p\bar{p}\to b\bar{b}$ production at Tevatron (2 TeV) as obtained via the various subprocesses discussed in the text (top) and the corrections due to the $\alpha_{\rm{EW}}^2$, $\alpha_{\rm{S}}^2\alpha_{\rm{EW}}^2$ and $\alpha_{\rm{S}}^3$ terms relative to the $\alpha_{\rm{S}}^2$ ones (bottom).
  • Figure 2: The forward-backward asymmetry vs. the transverse momentum of the $b$-jet for $p\bar{p}\to b\bar{b}$ events at Tevatron (2 TeV), as obtained at tree-level and one-loop order (top) and the relative correction of the latter to the former (bottom). (Errors in the ratio are statistical.)
  • Figure 3: The total cross section contributions vs. the transverse momentum of the $b$-jet for $pp\to b\bar{b}$ production at LHC (14 TeV) as obtained via the various subprocesses discussed in the text (top) and the corrections due to the $\alpha_{\rm{EW}}^2$ and $\alpha_{\rm{S}}^2\alpha_{\rm{EW}}^2$ terms relative to the $\alpha_{\rm{S}}^2$ ones (bottom). (Here, we do not show the corrections due to $\alpha_{\rm{S}}^3$ terms as results are perturbatively unreliable, given that $K$-factors as large as 3--4 can appear.)