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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 (6 sections, 6 equations, 3 figures)

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.)