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NLO QCD predictions for W+1 jet and W+2 jet production with at least one b jet at the 7 TeV LHC

F. Caola, J. M. Campbell, F. Febres Cordero, L. Reina, D. Wackeroth

TL;DR

This work delivers a state-of-the-art NLO QCD prediction for W boson production in association with up to two jets with at least one b jet at 7 TeV LHC. It achieves this by coherently combining 4FNS and 5FNS calculations, treating the bottom quark mass appropriately and resumming initial-state collinear logs via b-quark PDFs, with ATLAS-like jet definitions. The results include comprehensive cross sections for various signatures (inclusive and exclusive), along with detailed uncertainty assessments due to renormalization/factorization scales, PDFs, and mb. The study provides robust theoretical inputs for ATLAS analyses and improves background modeling for Higgs and beyond-Standard-Model searches.

Abstract

We calculate the production of a W boson in association with up to two jets including at least one b-jet to next-to-leading order (NLO) in QCD at the CERN Large Hadron Collider with 7 TeV center-of-mass energy. Both exclusive and inclusive event cross section and b-jet cross sections are presented. The calculation is performed consistently in the five-flavor-number scheme where both q anti-q' and bq (q =\= b) initiated parton level processes are included at NLO QCD. We study the residual theoretical uncertainties of the NLO predictions due to the renormalization and factorization scale dependence, to the uncertainty from the parton distribution functions, and to the values of alpha_s and the bottom-quark mass.

NLO QCD predictions for W+1 jet and W+2 jet production with at least one b jet at the 7 TeV LHC

TL;DR

This work delivers a state-of-the-art NLO QCD prediction for W boson production in association with up to two jets with at least one b jet at 7 TeV LHC. It achieves this by coherently combining 4FNS and 5FNS calculations, treating the bottom quark mass appropriately and resumming initial-state collinear logs via b-quark PDFs, with ATLAS-like jet definitions. The results include comprehensive cross sections for various signatures (inclusive and exclusive), along with detailed uncertainty assessments due to renormalization/factorization scales, PDFs, and mb. The study provides robust theoretical inputs for ATLAS analyses and improves background modeling for Higgs and beyond-Standard-Model searches.

Abstract

We calculate the production of a W boson in association with up to two jets including at least one b-jet to next-to-leading order (NLO) in QCD at the CERN Large Hadron Collider with 7 TeV center-of-mass energy. Both exclusive and inclusive event cross section and b-jet cross sections are presented. The calculation is performed consistently in the five-flavor-number scheme where both q anti-q' and bq (q =\= b) initiated parton level processes are included at NLO QCD. We study the residual theoretical uncertainties of the NLO predictions due to the renormalization and factorization scale dependence, to the uncertainty from the parton distribution functions, and to the values of alpha_s and the bottom-quark mass.

Paper Structure

This paper contains 4 sections, 6 equations, 2 figures, 10 tables.

Table of Contents

  1. Introduction
  2. Theoretical Framework
  3. Results
  4. Conclusions

Figures (2)

  • Figure 1: Leading-order parton-level processes for the production of a $W$ boson and one or two jets with at least one $b$ jet.
  • Figure 2: A parton-level process contributing to $Wbj$ production that appears at NLO in the calculation of ${\cal O}(\alpha_s)$ corrections to $q\bar{q}'\to W b \bar{b}$. This process is also equivalent to the LO $b$-quark initiated process of Fig. \ref{['fig:Wbb']}(b), with the $b$ quark originating from collinear $g\to b \bar{b}$ splitting. The consistent treatment of this process in the combination of the two NLO calculations is described in Section \ref{['sec:theory']}.