Abstract
The antenna subtraction method developed originally for the computation of higher order corrections to jet observables from a colourless initial state is extended for hadron collider processes involving a pair of massive particles and jets in the final state at the next-to-leading order (NLO) level. Due to the presence of coloured initial states, the subtraction terms need to be divided into three categories (final-final, initial-final and initial-initial). In this paper, we outline their construction and derive the necessary ingredients: phase space factorisation, antenna functions and also integrated antennae, including the effects of massive final states in all of those building parts. As a first application, we explicitly construct the colour-ordered real radiation and the corresponding antenna subtraction terms required at NLO for the production of a top quark pair and for the production of a top quark pair in association with a hard jet. The latter constitutes an essential ingredient for the computation of the hadronic production of a top-antitop pair at NNLO.
Highlights
At LHC, physics beyond the Standard Model will almost inevitably manifest itself by the creation of massive particles which decay instantaneously into multiparticle final states
Towards calculating the double real contributions to top-antitop production in hadronic collisions at NNLO, we extend the antenna subtraction formalism to be applicable to the production of massive heavy quark pairs in the presence of coloured initial states and present results for the real and subtraction contributions for ttand tt +jet production at next-to-leading order (NLO)
In the final-final configuration, the subtraction term related to the real contributions to the partonic process yielding a heavy quark pair in association with (m−2) jets given in eq (2.3) has to take into account the presence of an unresolved parton j of momentum kj emitted between two hard final-state radiators i and k of momenta ki and kk respectively
Summary
At LHC, physics beyond the Standard Model will almost inevitably manifest itself by the creation of massive particles which decay instantaneously into multiparticle final states. Towards calculating the double real contributions to top-antitop production in hadronic collisions at NNLO, we extend the antenna subtraction formalism to be applicable to the production of massive heavy quark pairs in the presence of coloured initial states and present results for the real and subtraction contributions for ttand tt +jet production at NLO.
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