Abstract
We present an implementation of the production of three jets at NLO plus parton-shower effects in the POWHEG BOX. Using the recently introduced MiNLO procedure for setting the renormalization and factorization scales, we are able to obtain a generator that is also well behaved when the third jet becomes unresolved. We compare key distributions computed at the NLO level, at the level of the POWHEG hard emission and after full shower by PYTHIA, Pythia8 and HERWIG6. We also compare our three-jet generator with the already available dijet POWHEG generator.
Highlights
This sets the relevant scale and momentum fractions for the parton distribution functions, and the associated jet production probes the values of pdfs around this point
We have presented an implementation of a NLO plus parton-shower generator for three-jet production, built in the framework of the POWHEG BOX V2
We have compared key kinematic distributions at different levels: NLO, Les Houches event level, and after the shower performed by PYTHIA, Pythia8 and HERWIG6
Summary
The Born cross section for the production of three partons has several sharp peaks, in correspondence to the singular regions where soft and collinear singularities are approached. The terms S0j approach 1 when the jth parton is either soft or collinear to any of the two incoming beams, and go to 0 when other singular regions are approached. Terms of the form Sij approach 1 when the jth parton is either soft or collinear to the final-state parton i, and go to 0 when other singular regions are approached. Each dΦB in the sum has a different parametrization in terms of the Monte Carlo integration variables, so that each of them can be seen to depend on the summation indexes We will indicate this by adding the subscript kj to each phase-space element volume dΦB = Skj (dΦB)kj. The real phase space for trijet production is built as usual by the POWHEG BOX automatic machinery on top of the Born kinematics
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