Abstract
We present the double real radiation corrections to the hadronic $t\overline t$ production stemming from partonic processes with fermions only. For this purpose, we extend the NNLO antenna subtraction formalism developed originally for the computation of jet observables in e + e − annihilation to include the evaluation of hadronic observables involving a massive pair of particles. In all partonic processes, we checked the validity of our subtraction terms given for leading and subleading colour contributions numerically by showing that the ratio between real radiation matrix elements and subtraction terms approaches unity in all single and double unresolved configurations.
Highlights
The production of top-antitop pairs is one of the core measurements at LHC
In a previous paper [89] we have presented the colour-ordered form of the real radiation corrections as well as the corresponding next-to-leading order (NLO) subtraction terms for all the partonic processes contributing to tt+jet production at hadron colliders
In all partonic processes considered above, examining the terms which capture the single unresolved limits in the respective subtraction terms (which belong to the subtraction term dσN(SN,aL) O given in eqs.(2.6-2.8)) which are made of three-parton antennae multiplied by fiveparton reduced matrix elements, one can determine how the infrared poles that arise in these terms upon integration over the appropriate one-particle antenna phase spaces will have to cancel against the poles present in the real-virtual five-parton contributions
Summary
The production of top-antitop pairs is one of the core measurements at LHC. Top quarks [1, 2] are measured through their decay into a bottom quark and a subsequently decaying W -boson, yielding up to six-jet final states for top quark pair production. The aim of this section is to present the general structure of the subtraction terms which capture the single and double unresolved features of the real radiation contributions related to the hadronic production of a pair of heavy quarks QQin association with (m−2) jets at NNLO in perturbative QCD. For this purpose, we develop an extended version of. The phase space factorisation required to define the genuine NNLO subtraction terms, i.e. those involving four-parton-antennae will be presented below
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