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The antenna subtraction formalism allows to calculate QCD corrections to jetobservables. Within this formalism, the subtraction terms are constructed usingantenna functions describing all unresolved radiation between a pair of hardradiatior partons. In this paper, we focus on the subtraction terms for doublereal radiation contributions to jet observables in hadron-hadron collisionsevaluated at NNLO. An essential ingredient to these subtraction terms are thefour-parton antenna functions with both radiators in the initial state. Weoutline the construction of the double real subtraction terms, classify allrelevant antenna functions and describe their integration over the relevantantenna phase space. For the initial-initial antenna functions with two quarkflavours, we derive the phase space master integrals and obtain the integratedantennae.

Antenna subtraction at NNLO with hadronic initial states: double real radiation for initial-initial configurations with two quark flavours