The complete NLO corrections to dijet hadroproduction

TL;DR

This work provides a complete treatment of LO and NLO mixed QCD-EW corrections to dijet hadroproduction, systematically organizing contributions with $n+m=2$ and $n+m=3$ for a perturbative expansion in $α_S$ and $α$. Using MG5_aMC@NLO, the authors automate the calculation, handle IR singularities, and address jet definitions in the EW context, including photon-related issues via a pragmatic anti-tagging approach and isolated-photon prescriptions. Phenomenology at 13 TeV shows pure-QCD effects dominate, with EW corrections becoming relevant only at high transverse momentum, and the coupling-based hierarchy largely preserved. The study also demonstrates that photon-jet removal has minimal impact on observables, supporting the use of democratic jets and validating the mixed-coupling framework for precise LHC predictions and future refinements involving fragmentation-function details.

Abstract

We study the production of jets in hadronic collisions, by computing all contributions proportional to $α_S^nα^m$, with $n+m=2$ and $n+m=3$. These correspond to leading and next-to-leading order results, respectively, for single-inclusive and dijet observables in a perturbative expansion that includes both QCD and electroweak effects. We discuss issues relevant to the definition of hadronic jets in the context of electroweak corrections, and present sample phenomenological predictions for the 13-TeV LHC. We find that both the leading and next-to-leading order contributions largely respect the relative hierarchy established by the respective coupling-constant combinations.

Figures (14)

• Figure 1: Total dijet cross section as a function of $\Delta$, according to the definition given in eq. (\ref{['Deltadef']}).
• Figure 2: Single-inclusive transverse momentum.
• Figure 3: Single-inclusive transverse momentum.
• Figure 4: Single-inclusive transverse momentum, for $\left|y\right|\le 1$.
• Figure 5: Single-inclusive transverse momentum, for $\left|y\right|\le 1$.