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NNLO phase space master integrals for two-to-one inclusive cross sections in dimensional regularization

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arxiv 1208.3130 v1 pith:EQ6ZCQBI submitted 2012-08-15 hep-ph

classification hep-ph
keywords crossdimensionalexpansionfunctionsinclusiveintegralsmasternnlo
verification ladder T0 review T1 audit T2 compute T3 formal
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We evaluate all phase space master integrals which are required for the total cross section of generic 2 -> 1 processes at NNLO as a series expansion in the dimensional regulator epsilon. Away from the limit of threshold production, our expansion includes one order higher than what has been available in the literature. At threshold, we provide expressions which are valid to all orders in terms of Gamma functions and hypergeometric functions. These results are a necessary ingredient for the renormalization and mass factorization of singularities in 2 -> 1 inclusive cross sections at NNNLO in QCD.

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