Abstract
We study the production of jets in hadronic collisions, by computing all contributions proportional to αSnαm, 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.
Highlights
Motivated by the previous considerations, in this paper we present the computation of all the leading and next-to-leading order contributions to the dijet cross section in a mixed QCD-EW coupling scenario
Our computations are carried out in the MadGraph5 aMC@NLO framework [15] (MG5 aMC ), and are completely automated; this work constitutes a further step in the validation of the MG5 aMC code, in a case that requires the subtraction of QED infrared singularities which is significantly more involved than that studied in ref
In particular, to ref. [17] for a detailed discussion on the physical meaning of the terms that appear in eqs. (2.1) and (2.2), and the relevant terminology; we limit ourselves to recalling here that what is conventionally denoted by NLO QCD and NLO EW corrections can be identified with ΣNLO1 and ΣNLO2, respectively
Summary
Σ(jLj O) receives contributions from all Feynman diagrams relevant to tree-level four-point Green functions with external massless SM particles – namely, light quarks (including bottoms, since we work with five light flavours), gluons, photons, and leptons. As far as Σ(jNj LO) is concerned, all one-loop four-point and tree-level five-point functions with massless external legs contribute. Note that this implies that while both real and virtual photons enter NLO corrections, W ±’s and Z’s only appear as internal particles. We do not use any factorised formulae for the one-loop EW logarithmic corrections (see e.g. ref. [13])
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