Abstract
We extend the antenna subtraction method to include initial states containing one hadron at NNLO. We present results for all the necessary subtraction terms, antenna functions, for the master integrals required to integrate them over the relevant phase space and finally for the integrated antennae themselves. Where applicable, our results are cross-checked against the known NNLO coefficient functions for deep inelastic scattering processes.
Highlights
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For most massless jet observables of phenomenological interest, the two-loop matrix elements have been computed some time ago [3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18], while the other two types of matrix elements are usually known from calculations of next-to-leading order (NLO) corrections to (n + 1) jet production [19,20,21,22,23,24,25,26,27,28]
We have extended the next-to-next-to-leading order (NNLO) antenna subtraction formalism [65] to include initial-final antenna configurations, where one of the hard radiator partons is in the initial state
Summary
Antenna subtraction of initial-final configurations at NLO is derived in detail in [89]. Xi1,jk denotes a one-loop three-parton initial-final antenna function, which is the only new ingredient These antenna functions can be obtained by crossing from their finalfinal counterparts, listed in [65], and have to be integrated over the appropriate phase space: Xi1,jk (2.18). The subtraction terms dσNSLO, dσNSNLO and dσNV NS,L1O require three different types of antenna functions corresponding to the different pairs of hard partons forming the antenna: quark-antiquark, quark-gluon and gluon-gluon antenna functions We derived these antenna functions [66,67,68] for final-final kinematics in a systematic manner from physical matrix elements known to possess the correct limits. If parton (i) is in the initial state, while (a, c, j, k) are in the final state, we obtain the following integral: Sac;i,k
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