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Off-shell Top Quarks with One Jet at the LHC: A comprehensive analysis at NLO QCD

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arxiv 1609.01659 v2 pith:GBS2SSCZ submitted 2016-09-06 hep-ph

classification hep-ph
keywords accuratealphacomprehensivecrossoff-shellperturbativeproductionquark
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We present a comprehensive study of the production of top quark pairs in association with one hard jet in the di-lepton decay channel at the LHC. Our predictions, accurate at NLO in QCD, focus on the LHC Run II with a center-of-mass energy of 13 TeV. All resonant and non-resonant contributions at the perturbative order ${\cal O}(\alpha_s^4 \alpha^4)$ are taken into account, including irreducible backgrounds to $t\bar{t}j$ production, interferences and off-shell effects of the top quark and the $W$ gauge boson. We extensively investigate the dependence of our results upon variation of renormalisation and factorisation scales and parton distribution functions in the quest for an accurate estimate of the theoretical uncertainties. Additionally, we explore a few possibilities for a dynamical scale choice with the goal of stabilizing the perturbative convergence of the differential cross sections far away from the $t\bar{t}$ threshold. Results presented here are particularly relevant for searches of new physics as well as for precise measurements of the top-quark fiducial cross sections and top-quark properties at the LHC.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Towards NNLO QCD predictions for off-shell top-quark pair production and decays

    hep-ph 2025-07 conditional novelty 8.0 of 10

    The first NNLO QCD prediction for off-shell W+W-bbbar production with massive bottom quarks at the LHC, using a double-pole approximation for the two-loop virtual and an on-shell matching for non-factorisable corrections.

  2. Numerical evaluation of two-loop QCD helicity amplitudes for $gg\to t \bar{t} g$ at leading colour

    hep-ph 2024-12 conditional novelty 8.0 of 10

    The two-loop finite remainders for gg to ttbar g at leading colour are evaluated numerically at one benchmark point, with elliptic functions confined to the finite part.

  3. Double virtual QCD corrections to $t\bar{t}+$jet production at the LHC

    hep-ph 2025-11 unverdicted novelty 7.0 of 10

    Leading-colour two-loop virtual amplitudes for ttbar+jet are extracted analytically via finite-field evaluations and differential equations, then packaged in a C++ library with new numerical integration techniques.

  4. One-loop amplitudes for $t\bar{t}j$ and $t\bar{t}\gamma$ productions at the LHC through $\mathcal{O}(\epsilon^2)$

    hep-ph 2025-05 unverdicted novelty 4.0 of 10

    Analytic expressions for one-loop helicity amplitudes in ttj and ttγ production are derived to O(ε²) as linear combinations of pentagon functions with rational coefficients in momentum-twistor variables, obtained via ...

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