NLO QCD predictions for t t ¯ $$ \overline{t} $$ b b ¯ $$ \overline{b} $$ production in association with a light jet at the LHC

Abstract

Abstract Theoretical predictions for t t ¯ $$ \overline{t} $$ b b ¯ $$ \overline{b} $$ production are of crucial importance for t t ¯ $$ \overline{t} $$ H measurements in the H → b b ¯ $$ \overline{b} $$ channel at the LHC. To address the large uncertainties associated with the modelling of extra QCD radiation in t t ¯ $$ \overline{t} $$ b b ¯ $$ \overline{b} $$ events, in this paper we present a calculation of pp → t t ¯ $$ \overline{t} $$ b b ¯ $$ \overline{b} $$ j at NLO QCD. The behaviour of NLO corrections is analysed in a variety of observables, and to assess theoretical uncertainties we use factor- two rescalings as well as different dynamic scales. In this context, we propose a systematic alignment of dynamic scales that makes it possible to disentangle normalisation and shape uncertainties in a transparent way. Scale uncertainties at NLO are typically at the level of 20–30% in integrated cross sections, and below 10% for the shapes of distributions. The kinematics of QCD radiation is investigated in detail, including the effects of its recoil on the objects of the t t ¯ $$ \overline{t} $$ b b ¯ $$ \overline{b} $$ system. In particular, we discuss various azimuthal correlations that allow one to characterise the QCD recoil pattern in a precise and transparent way. In general, the calculation at hand provides a variety of precise benchmarks that can be used to validate the modelling of QCD radiation in t t ¯ $$ \overline{t} $$ b b ¯ $$ \overline{b} $$ generators. Moreover, as we will argue, pp → t t ¯ $$ \overline{t} $$ b b ¯ $$ \overline{b} $$ j at NLO entails information that can be used to gain insights into the perturbative convergence of the inclusive t t ¯ $$ \overline{t} $$ b b ¯ $$ \overline{b} $$ cross section beyond NLO. Based on this idea, we address the issue of the large NLO K-factor observed in σ t t ¯ b b ¯ $$ {\sigma}_{t\overline{t}b\overline{b}} $$ , and we provide evidence that supports the reduction of this K-factor through a mild adjustment of the QCD scales that are conventionally used for this process. The presented 2 → 5 NLO calculations have been carried out using OpenLoops 2 in combination with Sherpa and Munich.

Keywords

• QCD Phenomenology
• NLO Computations